{
"cells": [
{
"cell_type": "markdown",
"id": "ee5778fd-5f59-4b5a-b2aa-1c295ec05d7f",
"metadata": {},
"source": [
"# MIMO OFDM Transmissions over the CDL Channel Model\n",
"In this notebook, you will learn how to setup a realistic simulation of a MIMO\n",
"point-to-point link between a mobile user terminal (UT) and a base station (BS).\n",
"Both, uplink and downlink directions are considered.\n",
"Here is a schematic diagram of the system model with all required components:\n",
"\n",
"\n",
"\n",
"\n",
"The setup includes:\n",
"\n",
"* 5G LDPC FEC\n",
"* QAM modulation\n",
"* OFDM resource grid with configurabel pilot pattern\n",
"* Multiple data streams\n",
"* 3GPP 38.901 CDL channel models and antenna patterns\n",
"* ZF Precoding with perfect channel state information\n",
"* LS Channel estimation with nearest-neighbor interpolation as well as perfect CSI\n",
"* LMMSE MIMO equalization\n",
"\n",
"You will learn how to simulate the channel in the time and frequency domains\n",
"and understand when to use which option.\n",
"\n",
"In particular, you will investigate:\n",
"\n",
"* The performance over different CDL models\n",
"* The impact of imperfect CSI\n",
"* Channel aging due to mobility\n",
"* Inter-symbol interference due to insufficient cyclic prefix length\n",
"\n",
"We will first walk through the configuration of all components of the system model, before simulating\n",
"some simple transmissions in the time and frequency domain.\n",
"Then, we will build a general end-to-end model which will allow us to run efficiently simulations with different\n",
"parameter settings.\n",
"\n",
"This is a notebook demonstrating a fairly advanced use of the Sionna library.\n",
"It is recommended that you familiarize yourself with the API documentation of the [Channel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html) module and understand the difference between time- and frequency-domain modeling. Some of the simulations\n",
"take some time, especially when you have no GPU available. For this reason, we provide the simulation\n",
"results within the cells generating the figures. If you want to visualize your own results, just comment\n",
"the corresponding line."
]
},
{
"cell_type": "markdown",
"id": "4444f697-6f04-4a0b-bea7-0db8e062d355",
"metadata": {},
"source": [
"## Table of Contents\n",
"* [Configuration and Imports](#Configuration-and-Imports)\n",
"* [System Setup](#System-Setup)\n",
" * [Stream Management](#Stream-Management)\n",
" * [OFDM Resource Grid & Pilot Pattern](#OFDM-Resource-Grid-&-Pilot-Pattern)\n",
" * [Antenna Arrays](#Antenna-Arrays)\n",
" * [CDL Channel Model](#CDL-Channel-Model)\n",
" * [CIR Sampling Process](#CIR-Sampling-Process)\n",
" * [Generate the Channel Frequency Response](#Generate-the-Channel-Frequency-Response)\n",
" * [Generate the Discrete-Time Channel Impulse Response](#Generate-the-Discrete-Time-Channel-Impulse-Response)\n",
" * [Other Physical Layer Components](#Other-Physical-Layer-Components)\n",
"* [Simulations](#Simulations)\n",
" * [Uplink Transmission in the Frequency Domain](#Uplink-Transmission-in-the-Frequency-Domain)\n",
" * [Uplink Transmission in the Time Domain](#Uplink-Transmission-in-the-Time-Domain)\n",
" * [Downlink Transmission in the Frequency Domain](#Downlink-Transmission-in-the-Frequency-Domain)\n",
" * [Understand the Difference Between the CDL Models](#Understand-the-Difference-Between-the-CDL-Models)\n",
" * [Create an End-to-End Model](#Create-an-End-to-End-Model)\n",
" * [Compare Uplink Performance Over Different CDL Models](#Compare-Uplink-Performance-Over-the-Different-CDL-Models)\n",
" * [Compare Downlink Performance Over Different CDL Models](#Compare-Downlink-Performance-Over-the-Different-CDL-Models)\n",
" * [Evaluate the Impact of Mobility](#Evaluate-the-Impact-of-Mobility)\n",
" * [Evaluate the Impact of Insufficient Cyclic Prefix Length](#Evaluate-the-Impact-of-Insufficient-Cyclic-Prefix-Length)"
]
},
{
"cell_type": "markdown",
"id": "fa4f4cfb-4a31-4a69-aaed-93d21fbb5d21",
"metadata": {
"tags": []
},
"source": [
"### Configuration and Imports "
]
},
{
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"source": [
"# Import Sionna\n",
"try:\n",
" import sionna.phy\n",
"except ImportError as e:\n",
" import sys\n",
" import os\n",
" if 'google.colab' in sys.modules:\n",
" # Install Sionna in Google Colab\n",
" print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n",
" os.system(\"pip install sionna\")\n",
" os.kill(os.getpid(), 5)\n",
" else:\n",
" raise e\n",
"\n",
"# Set random seed for reproducibility\n",
"sionna.phy.config.seed = 42"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "9d3ff139",
"metadata": {
"execution": {
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"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import torch\n",
"import time\n",
"\n",
"from sionna.phy import Block\n",
"from sionna.phy.mimo import StreamManagement\n",
"from sionna.phy.ofdm import ResourceGrid, ResourceGridMapper, LSChannelEstimator, LMMSEEqualizer, \\\n",
" OFDMModulator, OFDMDemodulator, RZFPrecoder, RemoveNulledSubcarriers\n",
"from sionna.phy.channel.tr38901 import AntennaArray, CDL\n",
"from sionna.phy.channel import subcarrier_frequencies, cir_to_ofdm_channel, cir_to_time_channel, \\\n",
" time_lag_discrete_time_channel, ApplyOFDMChannel, ApplyTimeChannel, \\\n",
" OFDMChannel, TimeChannel\n",
"from sionna.phy.fec.ldpc import LDPC5GEncoder, LDPC5GDecoder\n",
"from sionna.phy.mapping import Mapper, Demapper, BinarySource\n",
"from sionna.phy.utils import ebnodb2no, sim_ber, compute_ber"
]
},
{
"cell_type": "markdown",
"id": "15e1b3bb-5c41-4269-9bc8-1b4d7e48124c",
"metadata": {
"tags": []
},
"source": [
"## System Setup \n",
"\n",
"We will now configure all components of the system model step-by-step."
]
},
{
"cell_type": "markdown",
"id": "85fbf4f9-4576-4ea0-b11b-3107bba0ef54",
"metadata": {},
"source": [
"### Stream Management \n",
"\n",
"For any type of MIMO simulations, it is useful to setup a [StreamManagement](https://nvlabs.github.io/sionna/phy/api/mimo/stream_management.html) object.\n",
"It determines which transmitters and receivers communicate data streams with each other.\n",
"In our scenario, we will configure a single UT and BS with multiple antennas each.\n",
"Whether the UT or BS is considered as a transmitter depends on the `direction`, which can be\n",
"either uplink or downlink. The [StreamManagement](https://nvlabs.github.io/sionna/phy/api/mimo/stream_management.html) has many properties that are used by other components,\n",
"such as precoding and equalization.\n",
"\n",
"We will configure the system here such that the number of streams per transmitter (in both uplink and donwlink)\n",
"is equal to the number of UT antennas."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "c8f1a11c-443c-4fc5-af27-9854e42ee578",
"metadata": {
"execution": {
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"outputs": [],
"source": [
"# Define the number of UT and BS antennas.\n",
"# For the CDL model, that will be used in this notebook, only\n",
"# a single UT and BS are supported.\n",
"num_ut = 1\n",
"num_bs = 1\n",
"num_ut_ant = 4\n",
"num_bs_ant = 8\n",
"\n",
"# The number of transmitted streams is equal to the number of UT antennas\n",
"# in both uplink and downlink\n",
"num_streams_per_tx = num_ut_ant\n",
"\n",
"# Create an RX-TX association matrix\n",
"# rx_tx_association[i,j]=1 means that receiver i gets at least one stream\n",
"# from transmitter j. Depending on the transmission direction (uplink or downlink),\n",
"# the role of UT and BS can change. However, as we have only a single\n",
"# transmitter and receiver, this does not matter:\n",
"rx_tx_association = np.array([[1]])\n",
"\n",
"# Instantiate a StreamManagement object\n",
"# This determines which data streams are determined for which receiver.\n",
"# In this simple setup, this is fairly easy. However, it can get more involved\n",
"# for simulations with many transmitters and receivers.\n",
"sm = StreamManagement(rx_tx_association, num_streams_per_tx)"
]
},
{
"cell_type": "markdown",
"id": "6e5910cc-eb73-45f3-8c56-f580e01566cc",
"metadata": {},
"source": [
"### OFDM Resource Grid & Pilot Pattern "
]
},
{
"cell_type": "markdown",
"id": "9b30d086-2d6c-4a58-8be9-8b4617758c7b",
"metadata": {},
"source": [
"Next, we configure an OFDM [ResourceGrid](https://nvlabs.github.io/sionna/phy/api/ofdm/resource_grid.html) spanning multiple OFDM symbols.\n",
"The resource grid contains data symbols and pilots and is equivalent to a\n",
"*slot* in 4G/5G terminology. Although it is not relevant for our simulation, we null the DC subcarrier\n",
"and a few guard carriers to the left and right of the spectrum. Also a cyclic prefix is added.\n",
"\n",
"During the creation of the [ResourceGrid](https://nvlabs.github.io/sionna/phy/api/ofdm/resource_grid.html), a [PilotPattern](https://nvlabs.github.io/sionna/phy/api/ofdm/pilot_pattern.html) is automatically generated.\n",
"We could have alternatively created a [PilotPattern](https://nvlabs.github.io/sionna/phy/api/ofdm/pilot_pattern.html) first and then provided it as initialization parameter."
]
},
{
"cell_type": "code",
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{
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rg = ResourceGrid(num_ofdm_symbols=14,\n",
" fft_size=76,\n",
" subcarrier_spacing=15e3,\n",
" num_tx=1,\n",
" num_streams_per_tx=num_streams_per_tx,\n",
" cyclic_prefix_length=6,\n",
" num_guard_carriers=[5,6],\n",
" dc_null=True,\n",
" pilot_pattern=\"kronecker\",\n",
" pilot_ofdm_symbol_indices=[2,11])\n",
"rg.show();"
]
},
{
"cell_type": "markdown",
"id": "25c62b0f-b3fc-4091-8605-8c4e3b4592e2",
"metadata": {},
"source": [
"As can be seen in the figure above, the resource grid spans 76 subcarriers over 14 OFDM symbols. A DC guard carrier as well as some guard carriers to the left and right of the spectrum are nulled. The third and twelfth OFDM symbol are dedicated to pilot transmissions. \n",
"\n",
"Let us now have a look at the pilot pattern used by the transmitter. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "096c00fd-8ba1-4d5d-b790-5f9250857035",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:12.292893Z",
"iopub.status.busy": "2026-02-13T14:59:12.292747Z",
"iopub.status.idle": "2026-02-13T14:59:12.904318Z",
"shell.execute_reply": "2026-02-13T14:59:12.903619Z"
}
},
"outputs": [
{
"data": {
"image/png": 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rrVu3jmfkAACAmyrSkCNJXbt2VdeuXfOcb7FYNGnSJE2aNKkQuwIAAHe6In+tAwAAgDMQcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkRcgAAgCkV+VvI4RhxZ+cXcsXoQq4HIDfs+0DeOJIDAABMiZADAABMiZADAABMiZADAABMiZADAABMiburTGJY4NBCrZeo44VaD0Du2PeBvHEkBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAmBIhBwAAOJTFYtGqVascus2KFStqxowZdq1DyAEA4C4waNAgWSwWPfXUUznmxcTEyGKxaNCgQYXfmBMRcgAAuEuEhYVp6dKl+uOPP6xjV69e1ZIlSxQeHl6EnTkHIQcAgLtEgwYNFBYWphUrVljHVqxYofDwcNWvX986tm7dOrVq1UqlSpVSQECAunbtqiNHjljnX7t2TcOHD1dISIg8PT0VERGh2NjYPOtOmDBBISEh2rNnjyRpy5Ytat26tby8vBQWFqaRI0fq8uXL1uXPnDmjbt26ycvLS5GRkVq8eHGBvi8hBwCAu8iQIUMUHx9v/bxgwQINHjzYZpnLly9r7Nix2rFjhxITE+Xi4qIHHnhA2dnZkqSZM2dq9erVWrZsmQ4ePKjFixerYsWKOWoZhqERI0boww8/1DfffKM6deroyJEj6tSpk3r37q09e/bo448/1pYtWzR8+HDreoMGDVJKSoo2btyoTz75RLNnz9aZM2fs/q5udq8BAACKjfT0dJvPHh4e8vDwyHP5Rx55ROPGjdOvv/4qSfr222+1dOlSbdq0ybpM7969bdZZsGCBAgMDtW/fPtWqVUvJycmqUqWKWrVqJYvFooiIiBx1rl+/rkceeUS7du3Sli1bVL58eUlSbGysBgwYoNGjR0uSqlSpopkzZ6pNmzaaM2eOkpOTtXbtWn3//fdq3LixJGn+/PmqXr263b8bjuQAAHAHCwsLk7+/v3W62WkjSQoMDFSXLl2UkJCg+Ph4denSRWXLlrVZ5tChQ+rfv78qVaokPz8/61Ga5ORkSX8eadm9e7eqVq2qkSNH6osvvshRZ8yYMdq2bZu+/vpra8CRpB9++EEJCQny8fGxTtHR0crOztaxY8e0f/9+ubm5qWHDhtZ1qlWrplKlStn9u+FIDgAAd7CUlBT5+flZP9/sKM4NQ4YMsZ4emjVrVo753bp1U0REhOLi4hQaGqrs7GzVqlVL165dk/TntT3Hjh3T2rVr9eWXX6pPnz6KiorSJ598Yt1Ghw4d9NFHH2n9+vUaMGCAdfzSpUt68sknNXLkyBx1w8PD9fPPP+f/y98CIcck4s7OL+SK0YVcD0Bu2Pfh5+dnE3Lyo1OnTrp27ZosFouio23/m/722286ePCg4uLi1Lp1a0l/XiicW92+ffuqb9++evDBB9WpUyedP39eZcqUkSR1795d3bp108MPPyxXV1f169dP0p8Bad++fapcuXKuvVWrVk3Xr19XUlKS9XTVwYMHdfHiRbu+o0TIAQDgruPq6qr9+/dbf/6r0qVLKyAgQPPmzVNISIiSk5P10ksv2SzzzjvvKCQkRPXr15eLi4uWL1+u4ODgHKeUHnjgAS1atEiPPvqo3Nzc9OCDD+rFF19Us2bNNHz4cD3++OPy9vbWvn37tGHDBr3//vuqWrWqOnXqpCeffFJz5syRm5ubRo8eLS8vL7u/JyEHAIC7UF5Hf1xcXLR06VKNHDlStWrVUtWqVTVz5kzdf//91mV8fX01bdo0HTp0SK6urmrcuLH+85//yMUl56W+Dz74oLKzs/Xoo4/KxcVFvXr10ubNm/XKK6+odevWMgxD99xzj/r27WtdJz4+Xo8//rjatGmjoKAgTZ48WePHj7f7O1oMwzDsXusOkp6eLn9/f9V5ebVcPb2Luh2nad9ufaHWS/yKQ9ZAccC+71hZVy9rz5vdlZaWZvcpoPy68XcpKSlJPj4+Bd7OpUuX1LBhQ6f2eqfj7ioAAGBKnK4yiWGBQwu1XqKOF2o9ALlj3wfyxpEcAABgSoQcAABgSoQcAABgSoQcAABgSkUaciZOnCiLxWIzVatWzTr/6tWriomJUUBAgHx8fNS7d2+lpqYWYccAAOBOUeRHcmrWrKlTp05Zp78+OnrMmDFas2aNli9frs2bN+vkyZPq1atXEXYLAADuFEV+C7mbm5uCg4NzjKelpWn+/PlasmSJ2rVrJ+nPJyBWr15d3333nZo1a1bYrQIAgDtIkR/JOXTokEJDQ1WpUiUNGDDA+hr3pKQkZWZmKioqyrpstWrVFB4erq1bt+a5vYyMDKWnp9tMAADg7lOkIadp06ZKSEjQunXrNGfOHB07dkytW7fW77//rtOnT8vd3T3Hy76CgoJ0+vTpPLcZGxsrf39/6xQWFubkbwEAAIqjIj1d1blzZ+vPderUUdOmTRUREaFly5YV6G2jkjRu3DiNHTvW+jk9PZ2gAwDAXajIT1f9ValSpXTvvffq8OHDCg4O1rVr13Tx4kWbZVJTU3O9hucGDw8P+fn52UwAAODuU6xCzqVLl3TkyBGFhISoYcOGKlGihBITE63zDx48qOTkZDVv3rwIuwQAAHeCIj1d9dxzz6lbt26KiIjQyZMnNWHCBLm6uqp///7y9/fX0KFDNXbsWJUpU0Z+fn4aMWKEmjdvzp1VAADgloo05Bw/flz9+/fXb7/9psDAQLVq1UrfffedAgMDJUnTp0+Xi4uLevfurYyMDEVHR2v27NlF2TIAALhDFGnIWbp06U3ne3p6atasWZo1a1YhdQQAAMyiWF2TAwAA4CiEHAAAYEpF/loHOEbc2fmFXDG6kOsByA37PpA3juQAAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABT4u4qkxgWOLRQ6yXqeKHWA5A79n0gbxzJAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApkTIAQAApuRW1A3AMeLOzi/kitGFXA9Abtj3gbxxJAcAAJgSIQcAAJgSIQcAAJgSIQcAAJgSIQcAAJgSd1eZxLDAoYVaL1HHC7UegNyx7wN540gOAAAwJUIOAAAwJUIOAAAwJUIOAAAwJUIOAAAwJUIOAAAwJW4hBwCgCCSc+1Aef3gUeP2MyxmSpMaNG8vV1VUxMTGKiYlxVHumQMgBAOAOtn37dvn5+RV1G8USp6sAAIApEXIAAIApEXIAAIApEXIAAIAp2R1yJk6cqOzs7BzjaWlp6t+/v0OaAgAAuF12h5z58+erVatWOnr0qHVs06ZNql27to4cOeLQ5gAAAArK7pCzZ88eVahQQfXq1VNcXJyef/55dezYUY8++qj++9//OqNHAAAAu9kdckqXLq1ly5Zp+PDhevLJJ/Xuu+9q7dq1euONN+TmVvDH7kyZMkUWi0WjR4+2jl29elUxMTEKCAiQj4+PevfurdTU1ALXAAAAd48CpZL33ntP7777rvr376+kpCSNHDlSS5YsUd26dQvUxPbt2/XPf/5TderUsRkfM2aM/v3vf2v58uXy9/fX8OHD1atXL3377bcFqmNmcWfnF3LF6EKuByA37PtA3uw+ktOpUye99tprWrhwoRYvXqxdu3bpvvvuU7NmzTRt2jS7G7h06ZIGDBiguLg4lS5d2jqelpam+fPn65133lG7du3UsGFDxcfH67///a++++47u+sAAIC7i90hJysrS3v27NGDDz4oSfLy8tKcOXP0ySefaPr06XY3EBMToy5duigqKspmPCkpSZmZmTbj1apVU3h4uLZu3Zrn9jIyMpSenm4zAQCAu4/dp6s2bNiQ63iXLl20d+9eu7a1dOlS7dy5U9u3b88x7/Tp03J3d1epUqVsxoOCgnT69Ok8txkbG6vXXnvNrj4AAID5FOhhgN98840eeeQRNW/eXCdOnJAkLVq0SAcOHMj3NlJSUjRq1CgtXrxYnp6eBWkjV+PGjVNaWpp1SklJcdi2AQDAncPukPPpp58qOjpaXl5e2rVrlzIy/nzVe1pamt588818bycpKUlnzpxRgwYN5ObmJjc3N23evFkzZ86Um5ubgoKCdO3aNV28eNFmvdTUVAUHB+e5XQ8PD/n5+dlMAADg7mP36arJkydr7ty5euyxx7R06VLreMuWLTV58uR8b6d9+/Y5Tm8NHjxY1apV04svvqiwsDCVKFFCiYmJ6t27tyTp4MGDSk5OVvPmze1t2/SGBQ4t1HqJOl6o9QDkjn0fyJvdIefgwYO67777coz7+/vnOOpyM76+vqpVq5bNmLe3twICAqzjQ4cO1dixY1WmTBn5+flpxIgRat68uZo1a2Zv2wAA4C5jd8gJDg7W4cOHVbFiRZvxLVu2qFKlSo7qS5I0ffp0ubi4qHfv3srIyFB0dLRmz57t0BoAAMCc7A45w4YN06hRo7RgwQJZLBadPHlSW7du1XPPPafx48ffVjObNm2y+ezp6alZs2Zp1qxZt7VdAABw97E75Lz00kvKzs5W+/btdeXKFd13333y8PDQc889pxEjRjijRwAAALvZHXIsFoteeeUVPf/88zp8+LAuXbqkGjVqyMfHxxn9AQAAFEiB36jp7u6uGjVqOLIXAAAAh8lXyOnVq1e+N7hixYoCNwMAAOAo+XoYoL+/v3Xy8/NTYmKiduzYYZ2flJSkxMRE+fv7O61RAAAAe+TrSE58fLz15xdffFF9+vTR3Llz5erqKunPl3Y+88wzPF0YAAAUG3a/1mHBggV67rnnrAFHklxdXTV27FgtWLDAoc0BAAAUlN0h5/r167m+iPPAgQPKzs52SFMAAAC3y+67qwYPHqyhQ4fqyJEjatKkiSRp27ZtmjJligYPHuzwBgEAAArC7pDzj3/8Q8HBwXr77bd16tQpSVJISIief/55Pfvssw5vEAAAoCDsDjkuLi564YUX9MILLyg9PV2SuOAYAAAUOwV+GKBEuAEAAMWX3Rcep6am6tFHH1VoaKjc3Nzk6upqMwEAABQHdh/JGTRokJKTkzV+/HiFhITIYrE4oy/YKe7s/EKuGF3I9QDkhn0fyJvdIWfLli365ptvVK9ePSe0AwAA4Bh2n64KCwuTYRjO6AUAAMBh7A45M2bM0EsvvaRffvnFCe0AAAA4ht2nq/r27asrV67onnvuUcmSJVWiRAmb+efPn3dYcwAAAAVld8iZMWOGE9oAAABwLLtDzsCBA53RB27TsMChhVovUccLtR6A3LHvA3nLd8i58XTjW+EBgQAAoDjId8gpVarUTZ+JYxiGLBaLsrKyHNIYAADA7ch3yNm4caMz+wAAAHCofIecNm3aOLMPAAAAh7L7OTkAAAB3AkIOAAAwJUIOAAAwJUIOAAAwJbtCTmZmptzc3PTjjz86qx8AAACHsCvklChRQuHh4TwLBwAAFHt2n6565ZVX9PLLL/MiTgAAUKzZ/e6q999/X4cPH1ZoaKgiIiLk7e1tM3/nzp0Oaw4AAKCg7A45PXv2dEIbAAAAjmV3yJkwYYIz+gAAAHCoAt1CfvHiRX3wwQcaN26c9dqcnTt36sSJEw5tDgAAoKDsPpKzZ88eRUVFyd/fX7/88ouGDRumMmXKaMWKFUpOTtaHH37ojD4BAADsYnfIGTt2rAYNGqRp06bJ19fXOv63v/1NDz/8sEObQ/7FnZ1fyBWjC7kegNyw7wN5s/t01fbt2/Xkk0/mGC9fvrxOnz7tkKYAAEDhGTRokM2NRffff79Gjx5dZP04it0hx8PDQ+np6TnGf/75ZwUGBjqkKQAA4FiDBg2SxWKRxWKRu7u7KleurEmTJun69et69913lZCQUOBtJyQkqFSpUg7r1VHsDjndu3fXpEmTlJmZKUmyWCxKTk7Wiy++qN69ezu8QQAA4BidOnXSqVOndOjQIT377LOaOHGi3nrrLfn7+xfLkHK77A45b7/9ti5duqRy5crpjz/+UJs2bVS5cmX5+vrqjTfecEaPAADAATw8PBQcHKyIiAg9/fTTioqK0urVq3OcrvpfFy5c0GOPPabSpUurZMmS6ty5sw4dOiRJ2rRpkwYPHqy0tDTrkaKJEydKkmbPnq0qVarI09NTQUFBevDBBwvhW/4/uy889vf314YNG7Rlyxbt2bNHly5dUoMGDRQVFeWM/gAAwE387yUkHh4e8vDwyNe6Xl5e+u2332653KBBg3To0CGtXr1afn5+evHFF/W3v/1N+/btU4sWLTRjxgy9+uqrOnjwoCTJx8dHO3bs0MiRI7Vo0SK1aNFC58+f1zfffGP/F7wNdoecG1q1aqVWrVo5shfchmGBQwu1XqKOF2o9ALlj30dYWJjN5wkTJliPpOTFMAwlJiZq/fr1GjFihM6ePZvnsjfCzbfffqsWLVpIkhYvXqywsDCtWrVKDz30kPz9/WWxWBQcHGxdLzk5Wd7e3uratat8fX0VERGh+vXrF/yLFkC+Qs7MmTP1xBNPyNPTUzNnzrzpsiNHjnRIYwAA4NZSUlLk5+dn/Xyzoziff/65fHx8lJmZqezsbD388MOaOHGiYmJi8lxn//79cnNzU9OmTa1jAQEBqlq1qvbv35/neh06dFBERIQqVaqkTp06qVOnTnrggQdUsmRJO79hweUr5EyfPl0DBgyQp6enpk+fnudyFouFkAMAQCHy8/OzCTk307ZtW82ZM0fu7u4KDQ2Vm1uBT+jckq+vr3bu3KlNmzbpiy++0KuvvqqJEydq+/bthXaRc76+3bFjx3L9GQAA3Dm8vb1VuXJlu9apXr26rl+/rm3btllPV/322286ePCgatSoIUlyd3dXVlZWjnXd3NwUFRWlqKgoTZgwQaVKldJXX32lXr163f6XyQe77q7KzMzUPffcc9PDU/aYM2eO6tSpY02hzZs319q1a63zr169qpiYGAUEBMjHx0e9e/dWamqqQ2oDAIBbq1Klinr06KFhw4Zpy5Yt+uGHH/TII4+ofPny6tGjhySpYsWKunTpkhITE3Xu3DlduXJFn3/+uWbOnKndu3fr119/1Ycffqjs7GxVrVq10Hq3K+SUKFFCV69edVjxChUqaMqUKUpKStKOHTvUrl079ejRQz/99JMkacyYMVqzZo2WL1+uzZs36+TJk4WW/gAAwJ/i4+PVsGFDde3aVc2bN5dhGPrPf/6jEiVKSJJatGihp556Sn379lVgYKCmTZumUqVKacWKFWrXrp2qV6+uuXPn6qOPPlLNmjULrW+LYRiGPSu8+eab+vnnn/XBBx845VxemTJl9NZbb+nBBx9UYGCglixZYr2v/sCBA6pevbq2bt2qZs2a5Wt76enp8vf3V52XV8vV09vh/RYXS/tWKNR6/T7mDgugOGDfd6ysq5e1583uSktLy/d1Lva68XdpxPpR8vDO363eucm4nKH3ot91aq93OrtTyvbt25WYmKgvvvhCtWvXlre3bXBYsWJFgRrJysrS8uXLdfnyZTVv3lxJSUnKzMy0ef5OtWrVFB4eblfIAQAAdye7Q06pUqUc+vqGvXv3qnnz5rp69ap8fHy0cuVK1ahRQ7t375a7u3uOK7CDgoJu+iLQjIwMZWRkWD/n9p4tAABgfnaFnOvXr6tt27bq2LGjzQN/bkfVqlW1e/dupaWl6ZNPPtHAgQO1efPmAm8vNjZWr732mkN6AwAAdy67Ljx2c3PTU089ZXOk5HbdeBNqw4YNFRsbq7p16+rdd99VcHCwrl27posXL9osn5qaetOANW7cOKWlpVmnlJQUh/UKAADuHHa/oLNJkybatWuXM3qRJGVnZysjI0MNGzZUiRIllJiYaJ138OBBJScnq3nz5nmu7+HhYb0l3Z4HJAEAAHOx+5qcZ555Rs8++6yOHz+uhg0b5rjwuE6dOvne1rhx49S5c2eFh4fr999/15IlS7Rp0yatX79e/v7+Gjp0qMaOHasyZcrIz89PI0aMUPPmzbnoGAAA3JLdIadfv36SbN9RZbFYZBiGLBZLrk88zMuZM2f02GOP6dSpU3/e5l2njtavX68OHTpI+vN1Ei4uLurdu7cyMjIUHR2t2bNn29syAAC4C9kdchz5Wof58+ffdL6np6dmzZqlWbNmOawmAAC4O9gdciIiIpzRBwAAgEMV+JHF+/btU3Jysq5du2Yz3r1799tuCgAA4HbZHXKOHj2qBx54QHv37rVeiyP9eV2OJLuuyYHjxJ29+ak/x4su5HoAcsO+D+TN7lvIR40apcjISJ05c0YlS5bUTz/9pK+//lqNGjXSpk2bnNAiAACA/ew+krN161Z99dVXKlu2rFxcXOTi4qJWrVopNjZWI0eOdOozdAAAAPLL7iM5WVlZ8vX1lSSVLVtWJ0+elPTnBckHDx50bHcAAAAFZPeRnFq1aumHH35QZGSkmjZtqmnTpsnd3V3z5s1TpUqVnNEjAACA3ewOOX//+991+fJlSdKkSZPUtWtXtW7dWgEBAfr4448d3iAAAEBB2B1yoqP//8r6ypUr68CBAzp//rxKly5tvcMKhW9Y4NBCrZeo44VaD0Du2PeBvNl9TU5aWprOnz9vM1amTBlduHBB6enpDmsMAADgdtgdcvr166elS5fmGF+2bJn1vVYAAABFze6Qs23bNrVt2zbH+P33369t27Y5pCkAAIDbZXfIycjI0PXr13OMZ2Zm6o8//nBIUwAAALfL7pDTpEkTzZs3L8f43Llz1bBhQ4c0BQAAcLvsvrtq8uTJioqK0g8//KD27dtLkhITE7V9+3Z98cUXDm8QAACgIOw+ktOyZUtt3bpVFSpU0LJly7RmzRpVrlxZe/bsUevWrZ3RIwAAgN3sPpIjSfXq1dOSJUsc3QsAAIDDFCjkZGVlaeXKldq/f78kqUaNGurRo4fc3Aq0OQAAAIezO5X89NNP6t69u06fPq2qVatKkqZOnarAwECtWbNGtWrVcniTAAAA9rL7mpzHH39cNWvW1PHjx7Vz507t3LlTKSkpqlOnjp544gln9AgAAGA3u4/k7N69Wzt27FDp0qWtY6VLl9Ybb7yhxo0bO7Q5AACAgrL7SM69996r1NTUHONnzpxR5cqVHdIUAADA7cpXyElPT7dOsbGxGjlypD755BMdP35cx48f1yeffKLRo0dr6tSpzu4XAAAgX/J1uqpUqVKyWCzWz4ZhqE+fPtYxwzAkSd26dVNWVpYT2gQAALBPvkLOxo0bnd0HAACAQ+Ur5LRp08bZfeA2xZ2dX8gVowu5HoDcsO8DebP77qqvv/76pvPvu+++AjcDAADgKHaHnPvvvz/H2F+v1+GaHAAAUBzYfQv5hQsXbKYzZ85o3bp1aty4MW8hBwAAxYbdR3L8/f1zjHXo0EHu7u4aO3askpKSHNIYAADA7bD7SE5egoKCdPDgQUdtDgAA4LbYfSRnz549Np8Nw9CpU6c0ZcoU1atXz1F9wU7DAocWar1EHS/UegByx74P5M3ukFOvXj1ZLBbrAwBvaNasmRYsWOCwxgAAAG6H3SHn2LFjNp9dXFwUGBgoT09PhzUFAABwu+wOOREREc7oAwAAwKHyfeHx1q1b9fnnn9uMffjhh4qMjFS5cuX0xBNPKCMjw+ENAgAAFES+Q86kSZP0008/WT/v3btXQ4cOVVRUlF566SWtWbNGsbGxTmkSAADAXvkOObt371b79u2tn5cuXaqmTZsqLi5OY8eO1cyZM7Vs2TKnNAkAAGCvfIecCxcuKCgoyPp58+bN6ty5s/Vz48aNlZKS4tjuAAAACijfIScoKMh6Z9W1a9e0c+dONWvWzDr/999/V4kSJRzfIQAAQAHkO+T87W9/00svvaRvvvlG48aNU8mSJdW6dWvr/D179uiee+5xSpMAAAD2yvct5K+//rp69eqlNm3ayMfHRwsXLpS7u7t1/oIFC9SxY0enNAkAAGCvfIecsmXL6uuvv1ZaWpp8fHzk6upqM3/58uXy8fFxeIMAAAAF4ZC3kEtSmTJlbrsZAAAAR3HYW8gBAACKE0IOAAAwJUIOAAAwJbuvyXGk2NhYrVixQgcOHJCXl5datGihqVOnqmrVqtZlrl69qmeffVZLly5VRkaGoqOjNXv2bJsHEwIAcKfZvLm9XD29C7x+1tXLkt5V48aN5erqqpiYGMXExDiuQRMo0iM5mzdvVkxMjL777jtt2LBBmZmZ6tixoy5fvmxdZsyYMVqzZo2WL1+uzZs36+TJk+rVq1cRdg0AQPGxfft27du3j4CTiyI9krNu3TqbzwkJCSpXrpySkpJ03333KS0tTfPnz9eSJUvUrl07SVJ8fLyqV6+u7777zuaJy3e7uLPzC7lidCHXA5Ab9n0gb8Xqmpy0tDRJ/387elJSkjIzMxUVFWVdplq1agoPD9fWrVtz3UZGRobS09NtJgAAcPcpNiEnOztbo0ePVsuWLVWrVi1J0unTp+Xu7q5SpUrZLBsUFKTTp0/nup3Y2Fj5+/tbp7CwMGe3DgAAiqFiE3JiYmL0448/aunSpbe1nXHjxiktLc068WZ0AADuTkV6Tc4Nw4cP1+eff66vv/5aFSpUsI4HBwfr2rVrunjxos3RnNTUVAUHB+e6LQ8PD3l4eDi7ZQAAUMwVacgxDEMjRozQypUrtWnTJkVGRtrMb9iwoUqUKKHExET17t1bknTw4EElJyerefPmRdFysTUscGih1kvU8UKtByB37PtA3oo05MTExGjJkiX67LPP5Ovra73Oxt/fX15eXvL399fQoUM1duxYlSlTRn5+fhoxYoSaN2/OnVUAAOCmijTkzJkzR5J0//3324zHx8dr0KBBkqTp06fLxcVFvXv3tnkYIAAAwM0U+emqW/H09NSsWbM0a9asQugIAACYRbG5uwoAAMCRCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCUCDkAAMCU3Iq6AThG3Nn5hVwxupDrAcgN+z6QN47kAAAAUyLkAAAAUyLkAAAAUyLkAAAAUyLkAAAAU+LuKpMYFji0UOsl6nih1gOQO/Z9IG8cyQEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKbkVtQNwDHizs4v5IrRhVwPQG7Y94G8cSQHAACYEiEHAACYEiEHAACYEiEHAACYEiEHAACYEndXmcSwwKGFWi9Rxwu1HoDcse8DeeNIDgAAMCVCDgAAMCVCDgAAd4FBgwbJYrHIYrGoRIkSCgoKUocOHbRgwQJlZ2fnezsJCQkqVaqU8xp1oCINOV9//bW6deum0NBQWSwWrVq1yma+YRh69dVXFRISIi8vL0VFRenQoUNF0ywAAHe4Tp066dSpU/rll1+0du1atW3bVqNGjVLXrl11/fr1om7P4Yo05Fy+fFl169bVrFmzcp0/bdo0zZw5U3PnztW2bdvk7e2t6OhoXb16tZA7BQDgzufh4aHg4GCVL19eDRo00Msvv6zPPvtMa9euVUJCgiTpnXfeUe3ateXt7a2wsDA988wzunTpkiRp06ZNGjx4sNLS0qxHhSZOnChJWrRokRo1aiRfX18FBwfr4Ycf1pkzZ4rom/6pSENO586dNXnyZD3wwAM55hmGoRkzZujvf/+7evTooTp16ujDDz/UyZMncxzxAQDgbpWenm4zZWRk2LV+u3btVLduXa1YsUKS5OLiopkzZ+qnn37SwoUL9dVXX+mFF16QJLVo0UIzZsyQn5+fTp06pVOnTum5556TJGVmZur111/XDz/8oFWrVumXX37RoEGDHPpd7VVsbyE/duyYTp8+raioKOuYv7+/mjZtqq1bt6pfv365rpeRkWHzHzg9Pd3pvQIAUFTCwsJsPk+YMMF6dCW/qlWrpj179kiSRo8ebR2vWLGiJk+erKeeekqzZ8+Wu7u7/P39ZbFYFBwcbLONIUOGWH+uVKmSZs6cqcaNG+vSpUvy8fGx70s5SLENOadPn5YkBQUF2YwHBQVZ5+UmNjZWr732mlN7AwCguEhJSZGfn5/1s4eHh93bMAxDFotFkvTll18qNjZWBw4cUHp6uq5fv66rV6/qypUrKlmyZJ7bSEpK0sSJE/XDDz/owoUL1ouZk5OTVaNGDbt7cgTT3V01btw4paWlWaeUlJSibgkAAKfx8/OzmQoScvbv36/IyEj98ssv6tq1q+rUqaNPP/1USUlJ1utmr127luf6ly9fVnR0tPz8/LR48WJt375dK1euvOV6zlZsj+TcOAyWmpqqkJAQ63hqaqrq1auX53oeHh4F+g8MAMDd6KuvvtLevXs1ZswYJSUlKTs7W2+//bZcXP48DrJs2TKb5d3d3ZWVlWUzduDAAf3222+aMmWK9fTZjh07CucL3ESxPZITGRmp4OBgJSYmWsfS09O1bds2NW/evAg7AwDgzpSRkaHTp0/rxIkT2rlzp95880316NFDXbt21WOPPabKlSsrMzNT7733no4ePapFixZp7ty5NtuoWLGiLl26pMTERJ07d05XrlxReHi43N3dreutXr1ar7/+ehF9y/9XpCHn0qVL2r17t3bv3i3pz4uNd+/ereTkZFksFo0ePVqTJ0/W6tWrtXfvXj322GMKDQ1Vz549i7JtAADuSOvWrVNISIgqVqyoTp06aePGjZo5c6Y+++wzubq6qm7dunrnnXc0depU1apVS4sXL1ZsbKzNNlq0aKGnnnpKffv2VWBgoKZNm6bAwEAlJCRo+fLlqlGjhqZMmaJ//OMfRfQt/5/FMAyjqIpv2rRJbdu2zTE+cOBAJSQkyDAMTZgwQfPmzdPFixfVqlUrzZ49W/fee2++a6Snp8vf3191Xl4tV09vR7ZfrCztW6FQ6/X7mJf0AcUB+75jZV29rD1vdldaWprNxbyO5Ki/S4XR652uSK/Juf/++3WzjGWxWDRp0iRNmjSpELsCAABmUGyvyQEAALgdhBwAAGBKxfYWctgn7uz8Qq4YXcj1AOSGfR/IG0dyAACAKRFyAACAKRFyAACAKRFyAACAKRFyAACAKXF3lUkMCxxaqPUSZe6nngJ3CvZ9IG8cyQEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKZEyAEAAKbkVtQNwDHizs4v5IrRhVwPQG7Y94G8cSQHAACYEiEHAACYEiEHAACYEiEHAACYEiEHAACYEndXmcSwwKGFWi9Rxwu1HoDcse8DeeNIDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMCVCDgAAMKU7IuTMmjVLFStWlKenp5o2barvv/++qFsCAADFnFtRN3ArH3/8scaOHau5c+eqadOmmjFjhqKjo3Xw4EGVK1euqNsrNuLOzi/kitGFXA9Abtj3gbwV+yM577zzjoYNG6bBgwerRo0amjt3rkqWLKkFCxYUdWsAAKAYK9Yh59q1a0pKSlJUVJR1zMXFRVFRUdq6dWuu62RkZCg9Pd1mAgAAd59iHXLOnTunrKwsBQUF2YwHBQXp9OnTua4TGxsrf39/6xQWFlYYrQIAgGKmWIecghg3bpzS0tKsU0pKSlG3BAAAikCxvvC4bNmycnV1VWpqqs14amqqgoODc13Hw8NDHh4e1s+GYUiSsjKuOK/RYiDjckah1su6erlQ6wHIHfu+Y934W3Hjb0dh1Cqq9e8GFqMw/kvehqZNm6pJkyZ67733JEnZ2dkKDw/X8OHD9dJLL91y/ePHj3PKCgBgl5SUFFWoUMEp27569aoiIyPzvOzCHn5+fgoJCZGLi4tiYmIUExPjgA7No1gfyZGksWPHauDAgWrUqJGaNGmiGTNm6PLlyxo8eHC+1g8NDVVKSop8fX1lsVjyXTc9PV1hYWFKSUmRn59fQdsvtvWKoqbZ6xVFTbPXK4qafMc7v97t1DQMQ7///rtCQ0Od1punp6eOHTuma9eu3fa23N3d5enp6YCuzKnYh5y+ffvq7NmzevXVV3X69GnVq1dP69aty3Excl5cXFxuK437+fkV2k5ZFPWKoqbZ6xVFTbPXK4qafMc7v15Ba/r7+zupm//n6elJOCkExT7kSNLw4cM1fPjwom4DAADcQUx3dxUAAIBEyMmTh4eHJkyYYHOnlpnqFUVNs9crippmr1cUNfmOd369oqqJ4qfY310FAABQEBzJAQAApkTIAQAApkTIAQAApkTIAQAApkTIycOsWbNUsWJFeXp6qmnTpvr++++dVuvrr79Wt27dFBoaKovFolWrVjmtVmxsrBo3bixfX1+VK1dOPXv21MGDB51WT5LmzJmjOnXqWB/K1bx5c61du9apNf9qypQpslgsGj16tFO2P3HiRFksFpupWrVqTqn1VydOnNAjjzyigIAAeXl5qXbt2tqxY4dTalWsWDHHd7RYLE57hHxWVpbGjx+vyMhIeXl56Z577tHrr7/u9PcJ/f777xo9erQiIiLk5eWlFi1aaPv27Q7Z9q32c8Mw9OqrryokJEReXl6KiorSoUOHnFpzxYoV6tixowICAmSxWLR7926n1cvMzNSLL76o2rVry9vbW6GhoXrsscd08uRJp9ST/tw3q1WrJm9vb5UuXVpRUVHatm1bgevhzkPIycXHH3+ssWPHasKECdq5c6fq1q2r6OhonTlzxin1Ll++rLp162rWrFlO2f5fbd68WTExMfruu++0YcMGZWZmqmPHjrp82Xkv3atQoYKmTJmipKQk7dixQ+3atVOPHj30008/Oa3mDdu3b9c///lP1alTx6l1atasqVOnTlmnLVu2OLXehQsX1LJlS5UoUUJr167Vvn379Pbbb6t06dJOqbd9+3ab77dhwwZJ0kMPPeSUelOnTtWcOXP0/vvva//+/Zo6daqmTZtmfYedszz++OPasGGDFi1apL1796pjx46KiorSiRMnbnvbt9rPp02bppkzZ2ru3Lnatm2bvL29FR0dratXrzqt5uXLl9WqVStNnTq1wDXyW+/KlSvauXOnxo8fr507d2rFihU6ePCgunfv7pR6knTvvffq/fff1969e7VlyxZVrFhRHTt21NmzZwtcE3cYAzk0adLEiImJsX7OysoyQkNDjdjYWKfXlmSsXLnS6XVuOHPmjCHJ2Lx5c6HVNAzDKF26tPHBBx84tcbvv/9uVKlSxdiwYYPRpk0bY9SoUU6pM2HCBKNu3bpO2XZeXnzxRaNVq1aFWvOvRo0aZdxzzz1Gdna2U7bfpUsXY8iQITZjvXr1MgYMGOCUeoZhGFeuXDFcXV2Nzz//3Ga8QYMGxiuvvOLQWv+7n2dnZxvBwcHGW2+9ZR27ePGi4eHhYXz00UdOqflXx44dMyQZu3btckitW9W74fvvvzckGb/++muh1EtLSzMkGV9++eVt18OdgSM5/+PatWtKSkpSVFSUdczFxUVRUVHaunVrEXbmHGlpaZKkMmXKFEq9rKwsLV26VJcvX1bz5s2dWismJkZdunSx+W/pLIcOHVJoaKgqVaqkAQMGKDk52an1Vq9erUaNGumhhx5SuXLlVL9+fcXFxTm15g3Xrl3Tv/71Lw0ZMsSul97ao0WLFkpMTNTPP/8sSfrhhx+0ZcsWde7c2Sn1JOn69evKysrK8T4hLy8vpx+ZO3bsmE6fPm3zv1V/f381bdrUlP/u3JCWliaLxaJSpUo5vda1a9c0b948+fv7q27duk6vh+Lhjnh3VWE6d+6csrKycrwANCgoSAcOHCiirpwjOztbo0ePVsuWLVWrVi2n1tq7d6+aN2+uq1evysfHRytXrlSNGjWcVm/p0qXauXOnw66nuJmmTZsqISFBVatW1alTp/Taa6+pdevW+vHHH+Xr6+uUmkePHtWcOXM0duxYvfzyy9q+fbtGjhwpd3d3DRw40Ck1b1i1apUuXryoQYMGOa3GSy+9pPT0dFWrVk2urq7KysrSG2+8oQEDBjitpq+vr5o3b67XX39d1atXV1BQkD766CNt3bpVlStXdlpdSTp9+rQk5frvzo15ZnP16lW9+OKL6t+/v1Nf2vn555+rX79+unLlikJCQrRhwwaVLVvWafVQvBBy7mIxMTH68ccfnf7/UiWpatWq2r17t9LS0vTJJ59o4MCB2rx5s1OCTkpKikaNGqUNGzYUylt+/3p0oU6dOmratKkiIiK0bNkyDR061Ck1s7Oz1ahRI7355puSpPr16+vHH3/U3LlznR5y5s+fr86dOys0NNRpNZYtW6bFixdryZIlqlmzpnbv3q3Ro0crNDTUqd9v0aJFGjJkiMqXLy9XV1c1aNBA/fv3V1JSktNq3o0yMzPVp08fGYahOXPmOLVW27ZttXv3bp07d05xcXHq06ePtm3bpnLlyjm1LooHTlf9j7Jly8rV1VWpqak246mpqQoODi6irhxv+PDh+vzzz7Vx40ZVqFDB6fXc3d1VuXJlNWzYULGxsapbt67effddp9RKSkrSmTNn1KBBA7m5ucnNzU2bN2/WzJkz5ebmpqysLKfUvaFUqVK69957dfjwYafVCAkJyREQq1ev7vTTZL/++qu+/PJLPf74406t8/zzz+ull15Sv379VLt2bT366KMaM2aMYmNjnVr3nnvu0ebNm3Xp0iWlpKTo+++/V2ZmpipVquTUujf+bTH7vzvS/wecX3/9VRs2bHDqURxJ8vb2VuXKldWsWTPNnz9fbm5umj9/vlNrovgg5PwPd3d3NWzYUImJidax7OxsJSYmOv0aksJgGIaGDx+ulStX6quvvlJkZGSR9JGdna2MjAynbLt9+/bau3evdu/ebZ0aNWqkAQMGaPfu3XJ1dXVK3RsuXbqkI0eOKCQkxGk1WrZsmePW/59//lkRERFOqylJ8fHxKleunLp06eLUOleuXJGLi+0/T66ursrOznZq3Ru8vb0VEhKiCxcuaP369erRo4dT60VGRio4ONjm35309HRt27bNFP/u3HAj4Bw6dEhffvmlAgICCr0HZ/7bg+KH01W5GDt2rAYOHKhGjRqpSZMmmjFjhi5fvqzBgwc7pd6lS5ds/l//sWPHtHv3bpUpU0bh4eEOrRUTE6MlS5bos88+k6+vr/V8v7+/v7y8vBxa64Zx48apc+fOCg8P1++//64lS5Zo06ZNWr9+vVPq+fr65rjGyNvbWwEBAU659ui5555Tt27dFBERoZMnT2rChAlydXVV//79HV7rhjFjxqhFixZ688031adPH33//feaN2+e5s2b57Sa2dnZio+P18CBA+Xm5tx/Orp166Y33nhD4eHhqlmzpnbt2qV33nlHQ4YMcWrd9evXyzAMVa1aVYcPH9bzzz+vatWqOWTfv9V+Pnr0aE2ePFlVqlRRZGSkxo8fr9DQUPXs2dNpNc+fP6/k5GTrs2puBOfg4OACHUG6Wb2QkBA9+OCD2rlzpz7//HNlZWVZ//0pU6aM3N3dHVovICBAb7zxhrp3766QkBCdO3dOs2bN0okTJ5z26AMUQ0V8d1ex9d577xnh4eGGu7u70aRJE+O7775zWq2NGzcaknJMAwcOdHit3OpIMuLj4x1e64YhQ4YYERERhru7uxEYGGi0b9/e+OKLL5xWLzfOvIW8b9++RkhIiOHu7m6UL1/e6Nu3r3H48GGn1PqrNWvWGLVq1TI8PDyMatWqGfPmzXNqvfXr1xuSjIMHDzq1jmEYRnp6ujFq1CgjPDzc8PT0NCpVqmS88sorRkZGhlPrfvzxx0alSpUMd3d3Izg42IiJiTEuXrzokG3faj/Pzs42xo8fbwQFBRkeHh5G+/btb/t3faua8fHxuc6fMGGCw+vduE09t2njxo0Or/fHH38YDzzwgBEaGmq4u7sbISEhRvfu3Y3vv/++QLVwZ7IYhpMfIQoAAFAEuCYHAACYEiEHAACYEiEHAACYEiEHAACYEiEHAACYEiEHAACYEiEHAACYEiEHQKHYtGmTLBaLLl68eFvbqVixombMmOGQngCYGyEHuA0pKSkaMmSIQkND5e7uroiICI0aNUq//fabzXL333+/LBZLjun69es55nt4eKh8+fLq1q2bVqxYkaPmjeW+++47m/GMjAwFBATIYrFo06ZNefZ89uxZPf300woPD5eHh4eCg4MVHR2tb7/99vZ/IQBQjBBygAI6evSoGjVqpEOHDumjjz7S4cOHNXfuXOvLXM+fP2+z/LBhw3Tq1Cmb6a/vgLox/8iRI/r0009Vo0YN9evXT0888USO2mFhYYqPj7cZW7lypXx8fG7Zd+/evbVr1y4tXLhQP//8s1avXq37778/RzADgDsdIQcooJiYGLm7u+uLL75QmzZtFB4ers6dO+vLL7/UiRMn9Morr9gsX7JkSeuLD3N7AeKN+RUqVFCzZs00depU/fOf/1RcXJy+/PJLm2UHDhyopUuX6o8//rCOLViwQAMHDrxpzxcvXtQ333yjqVOnqm3btoqIiFCTJk00btw4de/eXZI0ZMgQde3a1Wa9zMxMlStXTvPnz5f055GnESNGaPTo0SpdurSCgoIUFxdnfZGtr6+vKleurLVr1+bo4dtvv1WdOnXk6empZs2a6ccff7SZ/+mnn6pmzZry8PBQxYoV9fbbb9/0OwFAXgg5QAGcP39e69ev1zPPPJPj7e3BwcEaMGCAPv74Y93uq+EGDhyo0qVL5zht1bBhQ1WsWFGffvqpJCk5OVlff/21Hn300Ztuz8fHRz4+Plq1apUyMjJyXebxxx/XunXrdOrUKevY559/ritXrqhv377WsYULF6ps2bL6/vvvNWLECD399NN66KGH1KJFC+3cuVMdO3bUo48+qitXrths//nnn9fbb7+t7du3KzAwUN26dVNmZqYkKSkpSX369FG/fv20d+9eTZw4UePHj1dCQkK+f2cAcAMhByiAQ4cOyTAMVa9ePdf51atX14ULF3T27Fnr2OzZs60hw8fHR88+++wt67i4uOjee+/VL7/8kmPekCFDtGDBAklSQkKC/va3vykwMPCm23Nzc1NCQoIWLlyoUqVKqWXLlnr55Ze1Z88e6zItWrRQ1apVtWjRIutYfHy8HnroIZvTYXXr1tXf//53ValSRePGjZOnp6fKli2rYcOGqUqVKnr11Vf122+/2WxbkiZMmKAOHTqodu3aWrhwoVJTU7Vy5UpJ0jvvvKP27dtr/PjxuvfeezVo0CANHz5cb7311i1/VwDwvwg5wG2w50jNgAEDtHv3bus0bty4fNewWCw5xh955BFt3bpVR48eVUJCgoYMGZKv7fXu3VsnT57U6tWr1alTJ23atEkNGjSwOVry+OOPW6/5SU1N1dq1a3Nsv06dOtafXV1dFRAQoNq1a1vHgoKCJElnzpyxWa958+bWn8uUKaOqVatq//79kqT9+/erZcuWNsu3bNlShw4dUlZWVr6+HwDcQMgBCqBy5cqyWCzWP87/a//+/SpdurTNkRV/f39VrlzZOpUtW/aWdbKysnTo0CFFRkbmmBcQEKCuXbtq6NChunr1qjp37pzv/j09PdWhQweNHz9e//3vfzVo0CBNmDDBOv+xxx7T0aNHtXXrVv3rX/9SZGSkWrdubbONEiVK2Hy2WCw2YzeCWXZ2dr77AgBHIuQABRAQEKAOHTpo9uzZNhf/StLp06e1ePFi9e3bN9cjMPZYuHChLly4oN69e+c6f8iQIdq0aZMee+wxubq6FrhOjRo1dPnyZevngIAA9ezZU/Hx8UpISNDgwYMLvO3/9ddb3y9cuKCff/7ZetqvevXqOW5l//bbb3Xvvffe1vcDcHdyu/UiAHLz/vvvq0WLFoqOjtbkyZMVGRmpn376Sc8//7zKly+vN954w67tXblyRadPn9b169d1/PhxrVy5UtOnT9fTTz+ttm3b5rpOp06ddPbsWfn5+eWrxm+//aaHHnpIQ4YMUZ06deTr66sdO3Zo2rRp6tGjh82yjz/+uLp27aqsrKxb3rVlj0mTJikgIEBBQUF65ZVXVLZsWfXs2VOS9Oyzz6px48Z6/fXX1bdvX23dulXvv/++Zs+e7bD6AO4ehByggKpUqaIdO3ZowoQJ6tOnj86fP6/g4GD17NlTEyZMUJkyZezaXlxcnOLi4uTu7q6AgAA1bNhQH3/8sR544IE817FYLPk67XWDj4+PmjZtqunTp+vIkSPKzMxUWFiYhg0bppdfftlm2aioKIWEhKhmzZoKDQ2167vczJQpUzRq1CgdOnRI9erV05o1a+Tu7i5JatCggZYtW6ZXX31Vr7/+ukJCQjRp0iQNGjTIYfUB3D0sxu3e4wrAlC5duqTy5csrPj5evXr1Kup2AMBuHMkBYCM7O1vnzp3T22+/rVKlSlkfEggAdxpCDgAbycnJioyMVIUKFZSQkGDz6gkAuJNwugoAAJgSt5ADAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABTIuQAAABT+j+969MtnwVcmwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rg.pilot_pattern.show();"
]
},
{
"cell_type": "markdown",
"id": "1a1bea99-dd79-4481-974e-0237ba60ca03",
"metadata": {},
"source": [
"The pilot patterns are defined over the resource grid of *effective subcarriers* from which the nulled DC and guard carriers have been removed. This leaves us in our case with 76 - 1 (DC) - 5 (left guards) - 6 (right guards) = 64 effective subcarriers.\n",
"\n",
"While the resource grid only knows which resource elements are reserved for pilots, it is the pilot pattern that defines what is actually transmitted on them. In our scenario, we have four transmit streams and configured the [KroneckerPilotPattern](https://nvlabs.github.io/sionna/phy/api/ofdm/sionna.phy.ofdm.KroneckerPilotPattern.html). All streams use orthogonal pilot sequences, i.e., one pilot on every fourth subcarrier. You have full freedom to configure your own [PilotPattern](https://nvlabs.github.io/sionna/phy/api/ofdm/sionna.phy.ofdm.PilotPattern.html).\n",
"\n",
"Let us now have a look at the actual pilot sequences for all streams which consists of random QPSK symbols.\n",
"By default, the pilot sequences are normalized, such that the average power per pilot symbol is\n",
"equal to one. As only every fourth pilot symbol in the sequence is used, their amplitude is scaled by a factor of two."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "0854d567-2500-465a-8d43-ce49fc46f750",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:12.906322Z",
"iopub.status.busy": "2026-02-13T14:59:12.906189Z",
"iopub.status.idle": "2026-02-13T14:59:13.040113Z",
"shell.execute_reply": "2026-02-13T14:59:13.039369Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average energy per pilot symbol: 1.00\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.title(\"Real Part of the Pilot Sequences\")\n",
"for i in range(num_streams_per_tx):\n",
" plt.stem(np.real(rg.pilot_pattern.pilots[0, i].cpu().numpy()),\n",
" markerfmt=\"C{}.\".format(i), linefmt=\"C{}-\".format(i),\n",
" label=\"Stream {}\".format(i))\n",
"plt.legend()\n",
"print(\"Average energy per pilot symbol: {:1.2f}\".format(np.mean(np.abs(rg.pilot_pattern.pilots[0,0].cpu().numpy())**2)))"
]
},
{
"cell_type": "markdown",
"id": "8723f476-4e27-4cf1-96a6-80f80ef0572a",
"metadata": {},
"source": [
"### Antenna Arrays "
]
},
{
"cell_type": "markdown",
"id": "65f25bd6-4a76-47eb-bc53-de47fdd343d3",
"metadata": {},
"source": [
"Next, we need to configure the antenna arrays used by the UT and BS.\n",
"This can be ignored for simple channel models, such as [AWGN](https://nvlabs.github.io/sionna/phy/api/channel/wireless/awgn.html#sionna.phy.channel.AWGN), [flat-fading](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html), [RayleighBlockFading](https://nvlabs.github.io/sionna/phy/api/channel/wireless/rayleigh_block_fading.html#sionna.phy.channel.RayleighBlockFading), or [TDL](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html) which do not account for antenna array geometries and antenna radiation patterns. However, other models, such as [CDL](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html), [UMi](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html), [UMa](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html), and [RMa](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html) from the 3GPP 38.901 specification, require it.\n",
"\n",
"We will assume here that UT and BS antenna arrays are composed of dual cross-polarized antenna elements with an antenna pattern defined in the 3GPP 38.901 specification. By default, the antenna elements are spaced half of a wavelength apart in both vertical and horizontal directions. You can define your own antenna geometries an radiation patterns if needed.\n",
"\n",
"An [AntennaArray](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.tr38901.AntennaArray.html) is always defined in the y-z plane. It's final orientation will be determined by the orientation of the UT or BS. This parameter can be configured in the [ChannelModel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html) that we will create later."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "983a56d8-607d-4487-9b7b-5ecea59b4f52",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:13.041893Z",
"iopub.status.busy": "2026-02-13T14:59:13.041747Z",
"iopub.status.idle": "2026-02-13T14:59:13.219698Z",
"shell.execute_reply": "2026-02-13T14:59:13.218974Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"carrier_frequency = 2.6e9 # Carrier frequency in Hz.\n",
" # This is needed here to define the antenna element spacing.\n",
"\n",
"ut_array = AntennaArray(num_rows=1,\n",
" num_cols=int(num_ut_ant/2),\n",
" polarization=\"dual\",\n",
" polarization_type=\"cross\",\n",
" antenna_pattern=\"38.901\",\n",
" carrier_frequency=carrier_frequency)\n",
"ut_array.show()\n",
"\n",
"bs_array = AntennaArray(num_rows=1,\n",
" num_cols=int(num_bs_ant/2),\n",
" polarization=\"dual\",\n",
" polarization_type=\"cross\",\n",
" antenna_pattern=\"38.901\",\n",
" carrier_frequency=carrier_frequency)\n",
"bs_array.show()"
]
},
{
"cell_type": "markdown",
"id": "b1eae955-a6b4-4155-b694-e79cd8acbdc8",
"metadata": {},
"source": [
"We can also visualize the radiation pattern of an individual antenna element:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "df5ee024-10f2-4dd9-98f6-36c2cea5e238",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:13.221442Z",
"iopub.status.busy": "2026-02-13T14:59:13.221310Z",
"iopub.status.idle": "2026-02-13T14:59:14.155705Z",
"shell.execute_reply": "2026-02-13T14:59:14.154971Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ut_array.show_element_radiation_pattern()"
]
},
{
"cell_type": "markdown",
"id": "65022296-a8a4-4bc2-bbeb-7d1a33a5da38",
"metadata": {},
"source": [
"### CDL Channel Model \n",
"\n",
"Now, we will create an instance of the CDL channel model."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "26959bed-fb38-42bd-a6d3-2acbf5f47f49",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.158237Z",
"iopub.status.busy": "2026-02-13T14:59:14.158109Z",
"iopub.status.idle": "2026-02-13T14:59:14.162950Z",
"shell.execute_reply": "2026-02-13T14:59:14.162191Z"
}
},
"outputs": [],
"source": [
"delay_spread = 300e-9 # Nominal delay spread in [s]. Please see the CDL documentation\n",
" # about how to choose this value.\n",
"\n",
"direction = \"uplink\" # The `direction` determines if the UT or BS is transmitting.\n",
" # In the `uplink`, the UT is transmitting.\n",
"cdl_model = \"B\" # Suitable values are [\"A\", \"B\", \"C\", \"D\", \"E\"]\n",
"\n",
"speed = 10 # UT speed [m/s]. BSs are always assumed to be fixed.\n",
" # The direction of travel will chosen randomly within the x-y plane.\n",
"\n",
"# Configure a channel impulse reponse (CIR) generator for the CDL model.\n",
"# cdl() will generate CIRs that can be converted to discrete time or discrete frequency.\n",
"cdl = CDL(cdl_model, delay_spread, carrier_frequency, ut_array, bs_array, direction, min_speed=speed)"
]
},
{
"cell_type": "markdown",
"id": "bc95abda-9545-4008-9462-923bd5e0fec4",
"metadata": {},
"source": [
"#### CIR Sampling Process "
]
},
{
"cell_type": "markdown",
"id": "8530e9bd-2821-4c81-9059-7713d143784b",
"metadata": {},
"source": [
"The instance `cdl` of the [CDL](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html) [ChannelModel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html) can be used to generate batches of random realizations of continuous-time\n",
"channel impulse responses, consisting of complex gains `a` and delays `tau` for each path. \n",
"To account for time-varying channels, a channel impulse responses is sampled at the `sampling_frequency` for `num_time_samples` samples.\n",
"For more details on this, please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html) of the channel models.\n",
"\n",
"In order to model the channel in the frequency domain, we need `num_ofdm_symbols` samples that are taken once per `ofdm_symbol_duration`, which corresponds to the length of an OFDM symbol plus the cyclic prefix."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "854e9936-a63b-466e-a355-2f5a656d9567",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.165044Z",
"iopub.status.busy": "2026-02-13T14:59:14.164927Z",
"iopub.status.idle": "2026-02-13T14:59:14.312280Z",
"shell.execute_reply": "2026-02-13T14:59:14.311308Z"
}
},
"outputs": [],
"source": [
"a, tau = cdl(batch_size=32, num_time_steps=rg.num_ofdm_symbols, sampling_frequency=1/rg.ofdm_symbol_duration)"
]
},
{
"cell_type": "markdown",
"id": "0c93d4b1-91fe-4cae-b32f-d1db12e446bc",
"metadata": {},
"source": [
"The path gains `a` have shape\\\n",
"`[batch size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_paths, num_time_steps]`\\\n",
"and the delays `tau` have shape\\\n",
"`[batch_size, num_rx, num_tx, num_paths]`."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "688f9152-0b5b-4aa7-9c27-ff82b0e1c59d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.314377Z",
"iopub.status.busy": "2026-02-13T14:59:14.314244Z",
"iopub.status.idle": "2026-02-13T14:59:14.317319Z",
"shell.execute_reply": "2026-02-13T14:59:14.316525Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shape of the path gains: torch.Size([32, 1, 8, 1, 4, 23, 14])\n",
"Shape of the delays: torch.Size([32, 1, 1, 23])\n"
]
}
],
"source": [
"print(\"Shape of the path gains: \", a.shape)\n",
"print(\"Shape of the delays:\", tau.shape)"
]
},
{
"cell_type": "markdown",
"id": "2651d2b4-fdce-4c61-8192-0191de48fdde",
"metadata": {},
"source": [
"The delays are assumed to be static within the time-window of interest. Only the complex path gains change over time.\n",
"The following two figures depict the channel impulse response at a particular time instant and the time-evolution of the gain of one path, respectively."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "c7073cb3-2df6-4c77-9b8a-045eb4478993",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.319379Z",
"iopub.status.busy": "2026-02-13T14:59:14.319264Z",
"iopub.status.idle": "2026-02-13T14:59:14.504999Z",
"shell.execute_reply": "2026-02-13T14:59:14.504122Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a_ = a.cpu().numpy()\n",
"tau_ = tau.cpu().numpy()\n",
"\n",
"plt.figure()\n",
"plt.title(\"Channel impulse response realization\")\n",
"plt.stem(tau_[0,0,0,:]/1e-9, np.abs(a_)[0,0,0,0,0,:,0])\n",
"plt.xlabel(r\"$\\tau$ [ns]\")\n",
"plt.ylabel(r\"$|a|$\")\n",
"\n",
"\n",
"plt.figure()\n",
"plt.title(\"Time evolution of path gain\")\n",
"plt.plot(np.arange(rg.num_ofdm_symbols)*rg.ofdm_symbol_duration/1e-6, np.real(a_)[0,0,0,0,0,0,:])\n",
"plt.plot(np.arange(rg.num_ofdm_symbols)*rg.ofdm_symbol_duration/1e-6, np.imag(a_)[0,0,0,0,0,0,:])\n",
"plt.legend([\"Real part\", \"Imaginary part\"])\n",
"\n",
"plt.xlabel(r\"$t$ [us]\")\n",
"plt.ylabel(r\"$a$\");"
]
},
{
"cell_type": "markdown",
"id": "1c9ed987-2dec-4b7d-862c-66c8fa2b7149",
"metadata": {},
"source": [
"#### Generate the Channel Frequency Response \n",
"\n",
"If we want to use the continuous-time channel impulse response to simulate OFDM transmissions\n",
"under ideal conditions, i.e., no inter-symbol interference, inter-carrier interference, etc.,\n",
"we need to convert it to the frequency domain. \n",
"\n",
"This can be done with the function [cir_to_ofdm_channel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.cir_to_ofdm_channel.html) that computes the Fourier transform of the\n",
"continuous-time channel impulse response at a set of `frequencies`, corresponding to the\n",
"different subcarriers. The frequencies can be obtained with the help of the convenience function\n",
"[subcarrier_frequencies](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.subcarrier_frequencies.html)."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "58ad50cf-3119-458d-b219-6df34ae345aa",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.506976Z",
"iopub.status.busy": "2026-02-13T14:59:14.506832Z",
"iopub.status.idle": "2026-02-13T14:59:14.516385Z",
"shell.execute_reply": "2026-02-13T14:59:14.515525Z"
}
},
"outputs": [],
"source": [
"frequencies = subcarrier_frequencies(rg.fft_size, rg.subcarrier_spacing)\n",
"h_freq = cir_to_ofdm_channel(frequencies, a, tau, normalize=True)"
]
},
{
"cell_type": "markdown",
"id": "f45ae211-63d8-4d8e-b1bd-7b8080786e08",
"metadata": {},
"source": [
"Let us have a look at the channel frequency response at a given time instant:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d97c9cc9-b0c1-4be2-bc55-a140db5edf5b",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.518923Z",
"iopub.status.busy": "2026-02-13T14:59:14.518782Z",
"iopub.status.idle": "2026-02-13T14:59:14.617975Z",
"shell.execute_reply": "2026-02-13T14:59:14.617146Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.title(\"Channel frequency response\")\n",
"plt.plot(np.real(h_freq[0,0,0,0,0,0,:].cpu().numpy()))\n",
"plt.plot(np.imag(h_freq[0,0,0,0,0,0,:].cpu().numpy()))\n",
"plt.xlabel(\"OFDM Symbol Index\")\n",
"plt.ylabel(r\"$h$\")\n",
"plt.legend([\"Real part\", \"Imaginary part\"]);"
]
},
{
"cell_type": "markdown",
"id": "281d8757-01f5-4604-8ad7-555cc9026c1c",
"metadata": {},
"source": [
"We can apply the channel frequency response to a given input with the [ApplyOFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.ApplyOFDMChannel.html) block. This block can also add additive white Gaussian noise (AWGN) to the channel output."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "15de18a6-be61-4925-824e-387a99bf5482",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.619922Z",
"iopub.status.busy": "2026-02-13T14:59:14.619786Z",
"iopub.status.idle": "2026-02-13T14:59:14.622241Z",
"shell.execute_reply": "2026-02-13T14:59:14.621638Z"
}
},
"outputs": [],
"source": [
"# Function that will apply the channel frequency response to an input signal\n",
"channel_freq = ApplyOFDMChannel(add_awgn=True)"
]
},
{
"cell_type": "markdown",
"id": "bc01a80a-c68b-41e3-8a92-10937f30b9a6",
"metadata": {},
"source": [
"#### Generate the Discrete-Time Channel Impulse Response \n",
"\n",
"In the same way as we have created the frequency channel impulse response from the continuous-time\n",
"response, we can use the latter to compute a discrete-time impulse response. This can then be used\n",
"to model the channel in the time-domain through discrete convolution with an input signal.\n",
"Time-domain channel modeling is necessary whenever we want to deviate from the perfect OFDM scenario,\n",
"e.g., OFDM without cyclic prefix, inter-subcarrier interference due to carrier-frequency offsets,\n",
"phase noise, or very high Doppler spread scenarios, as well as other single or multicarrier waveforms\n",
"(OTFS, FBMC, UFMC, etc).\n",
"\n",
"A discrete-time impulse response can be obtained with the help of the function [cir_to_time_channel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.cir_to_time_channel.html)\n",
"that requires a `bandwidth` parameter. This function first applies a perfect low-pass filter of\n",
"the provided `bandwith` to the continuous-time channel impulse response and then samples the filtered\n",
"response at the Nyquist rate. The resulting discrete-time impulse response is then truncated to\n",
"finite length, depending on the delay spread. `l_min` and `l_max` denote truncation boundaries and the\n",
"resulting channel has `l_tot=l_max-l_min+1` filter taps. A detailed mathematical description of this process\n",
"is provided in the API documentation of the channel models. You can freely chose both parameters if you\n",
"do not want to rely on the default values.\n",
"\n",
"In order to model the channel in the domain, the continuous-time channel impulse response must be sampled\n",
"at the Nyquist rate. We also need now `num_ofdm_symbols x (fft_size + cyclic_prefix_length) + l_tot-1` samples\n",
"in contrast to `num_ofdm_symbols` samples for modeling in the frequency domain. This implies that the \n",
"memory requirements of time-domain channel modeling is significantly higher. We therefore\n",
"recommend to only use this feature if it is really necessary. Simulations with many transmitters, receivers,\n",
"and/or large antenna arrays become otherwise quickly prohibitively complex."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "48e3b11a-2b4e-4c35-ad03-c6469af5adb8",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.624467Z",
"iopub.status.busy": "2026-02-13T14:59:14.624353Z",
"iopub.status.idle": "2026-02-13T14:59:14.641927Z",
"shell.execute_reply": "2026-02-13T14:59:14.641284Z"
}
},
"outputs": [],
"source": [
"# The following values for truncation are recommended.\n",
"# Please feel free to tailor them to you needs.\n",
"l_min, l_max = time_lag_discrete_time_channel(rg.bandwidth)\n",
"l_tot = l_max-l_min+1\n",
"\n",
"a, tau = cdl(batch_size=2, num_time_steps=rg.num_time_samples+l_tot-1, sampling_frequency=rg.bandwidth)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "74754d9c-14e3-45cb-a3b5-201ec827a26d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.644131Z",
"iopub.status.busy": "2026-02-13T14:59:14.644017Z",
"iopub.status.idle": "2026-02-13T14:59:14.647276Z",
"shell.execute_reply": "2026-02-13T14:59:14.646561Z"
}
},
"outputs": [],
"source": [
"h_time = cir_to_time_channel(rg.bandwidth, a, tau, l_min=l_min, l_max=l_max, normalize=True)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "eac09933-552b-41f4-a3b8-ad99d8edf3b9",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.649073Z",
"iopub.status.busy": "2026-02-13T14:59:14.648961Z",
"iopub.status.idle": "2026-02-13T14:59:14.743859Z",
"shell.execute_reply": "2026-02-13T14:59:14.743100Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.title(\"Discrete-time channel impulse response\")\n",
"plt.stem(np.abs(h_time[0,0,0,0,0,0].cpu().numpy()))\n",
"plt.xlabel(r\"Time step $\\ell$\")\n",
"plt.ylabel(r\"$|\\bar{h}|$\");"
]
},
{
"cell_type": "markdown",
"id": "0b105892-a59f-4e24-9041-04e196c18776",
"metadata": {},
"source": [
"We can apply the discrete-time impulse response to a given input with the [ApplyTimeChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.ApplyTimeChannel.html) block. This block can also add additive white Gaussian noise (AWGN) to the channel output."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "752a7d2f-eb21-46b6-9337-d6fc4daf48be",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.746167Z",
"iopub.status.busy": "2026-02-13T14:59:14.746042Z",
"iopub.status.idle": "2026-02-13T14:59:14.748874Z",
"shell.execute_reply": "2026-02-13T14:59:14.748131Z"
}
},
"outputs": [],
"source": [
"# Function that will apply the discrete-time channel impulse response to an input signal\n",
"channel_time = ApplyTimeChannel(rg.num_time_samples, l_tot=l_tot, add_awgn=True)"
]
},
{
"cell_type": "markdown",
"id": "61e9fb6d-066f-4570-8993-9af8083a4c7d",
"metadata": {},
"source": [
"### Other Physical Layer Components \n",
"\n",
"Finally, we create instances of all other physical layer components we need. Most of these blocks are self-explanatory.\n",
"For more information, please have a look at the API documentation."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "e77893d1-80d6-4926-bead-b1a72401b59a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.750781Z",
"iopub.status.busy": "2026-02-13T14:59:14.750667Z",
"iopub.status.idle": "2026-02-13T14:59:14.838207Z",
"shell.execute_reply": "2026-02-13T14:59:14.837437Z"
}
},
"outputs": [],
"source": [
"num_bits_per_symbol = 2 # QPSK modulation\n",
"coderate = 0.5 # Code rate\n",
"n = int(rg.num_data_symbols*num_bits_per_symbol) # Number of coded bits\n",
"k = int(n*coderate) # Number of information bits\n",
"\n",
"# The binary source will create batches of information bits\n",
"binary_source = BinarySource()\n",
"\n",
"# The encoder maps information bits to coded bits\n",
"encoder = LDPC5GEncoder(k, n)\n",
"\n",
"# The mapper maps blocks of information bits to constellation symbols\n",
"mapper = Mapper(\"qam\", num_bits_per_symbol)\n",
"\n",
"# The resource grid mapper maps symbols onto an OFDM resource grid\n",
"rg_mapper = ResourceGridMapper(rg)\n",
"\n",
"# The zero forcing precoder precodes the transmit stream towards the intended antennas\n",
"zf_precoder = RZFPrecoder(rg, sm, return_effective_channel=True)\n",
"\n",
"# OFDM modulator and demodulator\n",
"modulator = OFDMModulator(rg.cyclic_prefix_length)\n",
"demodulator = OFDMDemodulator(rg.fft_size, l_min, rg.cyclic_prefix_length)\n",
"\n",
"# This function removes nulled subcarriers from any tensor having the shape of a resource grid\n",
"remove_nulled_scs = RemoveNulledSubcarriers(rg)\n",
"\n",
"# The LS channel estimator will provide channel estimates and error variances\n",
"ls_est = LSChannelEstimator(rg, interpolation_type=\"nn\")\n",
"\n",
"# The LMMSE equalizer will provide soft symbols together with noise variance estimates\n",
"lmmse_equ = LMMSEEqualizer(rg, sm)\n",
"\n",
"# The demapper produces LLR for all coded bits\n",
"demapper = Demapper(\"app\", \"qam\", num_bits_per_symbol)\n",
"\n",
"# The decoder provides hard-decisions on the information bits\n",
"decoder = LDPC5GDecoder(encoder, hard_out=True)"
]
},
{
"cell_type": "markdown",
"id": "2dc77162-405d-48db-b0dc-201ce2ae6f5f",
"metadata": {},
"source": [
"## Simulations "
]
},
{
"cell_type": "markdown",
"id": "104e0f9b-b7dd-4231-9f0c-609469857caa",
"metadata": {
"tags": []
},
"source": [
"### Uplink Transmission in the Frequency Domain \n",
"\n",
"Now, we will simulate our first uplink transmission! Inspect the code to understand how perfect CSI at the receiver can be simulated."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "23915d56-e9cb-4cb5-be50-99312b60712c",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.840454Z",
"iopub.status.busy": "2026-02-13T14:59:14.840330Z",
"iopub.status.idle": "2026-02-13T14:59:14.991166Z",
"shell.execute_reply": "2026-02-13T14:59:14.990317Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"BER: 0.0\n"
]
}
],
"source": [
"batch_size = 32 # Depending on the memory of your GPU (or system when a CPU is used),\n",
" # you can in(de)crease the batch size. The larger the batch size, the\n",
" # more memory is required. However, simulations will also run much faster.\n",
"ebno_db = 40\n",
"perfect_csi = False # Change to switch between perfect and imperfect CSI\n",
"\n",
"# Compute the noise power for a given Eb/No value.\n",
"# This takes not only the coderate but also the overheads related pilot\n",
"# transmissions and nulled carriers\n",
"no = ebnodb2no(ebno_db, num_bits_per_symbol, coderate, rg)\n",
"\n",
"b = binary_source([batch_size, 1, rg.num_streams_per_tx, encoder.k])\n",
"c = encoder(b)\n",
"x = mapper(c)\n",
"x_rg = rg_mapper(x)\n",
"\n",
"# As explained above, we generate random batches of CIR, transform them\n",
"# in the frequency domain and apply them to the resource grid in the\n",
"# frequency domain.\n",
"cir = cdl(batch_size, rg.num_ofdm_symbols, 1/rg.ofdm_symbol_duration)\n",
"h_freq = cir_to_ofdm_channel(frequencies, *cir, normalize=True)\n",
"y = channel_freq(x_rg, h_freq, no)\n",
"\n",
"if perfect_csi:\n",
" # For perfect CSI, the receiver gets the channel frequency response as input\n",
" # However, the channel estimator only computes estimates on the non-nulled\n",
" # subcarriers. Therefore, we need to remove them here from `h_freq`.\n",
" # This step can be skipped if no subcarriers are nulled.\n",
" h_hat, err_var = remove_nulled_scs(h_freq), 0.\n",
"else:\n",
" h_hat, err_var = ls_est (y, no)\n",
"\n",
"x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n",
"llr = demapper(x_hat, no_eff)\n",
"b_hat = decoder(llr)\n",
"ber = compute_ber(b, b_hat)\n",
"print(\"BER: {}\".format(ber))"
]
},
{
"cell_type": "markdown",
"id": "90c7cf60-2ba5-4956-8121-656ae0da4994",
"metadata": {},
"source": [
"An alternative approach to simulations in the frequency domain is to use the\n",
"convenience function [OFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.OFDMChannel.html) that jointly generates and applies\n",
"the channel frequency response. Using this function, we could have used\n",
"the following code:"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "f0a0f331-b490-4871-ae33-74fc2ce25d94",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:14.993286Z",
"iopub.status.busy": "2026-02-13T14:59:14.993153Z",
"iopub.status.idle": "2026-02-13T14:59:15.010502Z",
"shell.execute_reply": "2026-02-13T14:59:15.009860Z"
}
},
"outputs": [],
"source": [
"ofdm_channel = OFDMChannel(cdl, rg, add_awgn=True, normalize_channel=True, return_channel=True)\n",
"y, h_freq = ofdm_channel(x_rg, no)"
]
},
{
"cell_type": "markdown",
"id": "233758e2-da9c-4ef0-ac0a-81b2ec7e922f",
"metadata": {
"tags": []
},
"source": [
"### Uplink Transmission in the Time Domain "
]
},
{
"cell_type": "markdown",
"id": "3d869c08-d7c2-4b8f-aba1-e22036961110",
"metadata": {},
"source": [
"In the previous example, OFDM modulation/demodulation were not needed as the entire system was simulated\n",
"in the frequency domain. However, this modeling approach is not able to capture many realistic effects. \n",
"\n",
"With the following modifications, the system can be modeled in the time domain.\n",
"\n",
"Have a careful look at how perfect CSI of the channel frequency response is simulated here."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "1d349806-7bd4-47d9-bc6f-6f3bb26c7761",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.012791Z",
"iopub.status.busy": "2026-02-13T14:59:15.012677Z",
"iopub.status.idle": "2026-02-13T14:59:15.063754Z",
"shell.execute_reply": "2026-02-13T14:59:15.063005Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"BER: 0.0\n"
]
}
],
"source": [
"batch_size = 4 # We pick a small batch_size as executing this code in Eager mode could consume a lot of memory\n",
"ebno_db = 30\n",
"perfect_csi = True\n",
"\n",
"no = ebnodb2no(ebno_db, num_bits_per_symbol, coderate, rg)\n",
"b = binary_source([batch_size, 1, rg.num_streams_per_tx, encoder.k])\n",
"c = encoder(b)\n",
"x = mapper(c)\n",
"x_rg = rg_mapper(x)\n",
"\n",
"# The CIR needs to be sampled every 1/bandwith [s].\n",
"# In contrast to frequency-domain modeling, this implies\n",
"# that the channel can change over the duration of a single\n",
"# OFDM symbol. We now also need to simulate more\n",
"# time steps.\n",
"cir = cdl(batch_size, rg.num_time_samples+l_tot-1, rg.bandwidth)\n",
"\n",
"# OFDM modulation with cyclic prefix insertion\n",
"x_time = modulator(x_rg)\n",
"\n",
"# Compute the discrete-time channel impulse reponse\n",
"h_time = cir_to_time_channel(rg.bandwidth, *cir, l_min, l_max, normalize=True)\n",
"\n",
"# Compute the channel output\n",
"# This computes the full convolution between the time-varying\n",
"# discrete-time channel impulse reponse and the discrete-time\n",
"# transmit signal. With this technique, the effects of an\n",
"# insufficiently long cyclic prefix will become visible. This\n",
"# is in contrast to frequency-domain modeling which imposes\n",
"# no inter-symbol interfernce.\n",
"y_time = channel_time(x_time, h_time, no)\n",
"\n",
"# OFDM demodulation and cyclic prefix removal\n",
"y = demodulator(y_time)\n",
"\n",
"if perfect_csi:\n",
"\n",
" a, tau = cir\n",
"\n",
" # We need to sub-sample the channel impulse reponse to compute perfect CSI\n",
" # for the receiver as it only needs one channel realization per OFDM symbol\n",
" a_freq = a[...,rg.cyclic_prefix_length:-1:(rg.fft_size+rg.cyclic_prefix_length)]\n",
" a_freq = a_freq[...,:rg.num_ofdm_symbols]\n",
"\n",
" # Compute the channel frequency response\n",
" h_freq = cir_to_ofdm_channel(frequencies, a_freq, tau, normalize=True)\n",
"\n",
" h_hat, err_var = remove_nulled_scs(h_freq), 0.\n",
"else:\n",
" h_hat, err_var = ls_est (y, no)\n",
"\n",
"x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n",
"llr = demapper(x_hat, no_eff)\n",
"b_hat = decoder(llr)\n",
"ber = compute_ber(b, b_hat)\n",
"print(\"BER: {}\".format(ber))"
]
},
{
"cell_type": "markdown",
"id": "0d599622-0bef-466b-901a-53adda83e1ec",
"metadata": {},
"source": [
"An alternative approach to simulations in the time domain is to use the\n",
"convenience function [TimeChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.TimeChannel.html) that jointly generates and applies\n",
"the discrete-time channel impulse response. Using this function, we could have used\n",
"the following code:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "0a97350c-1ebc-43bb-a995-f28412643a7f",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.065890Z",
"iopub.status.busy": "2026-02-13T14:59:15.065746Z",
"iopub.status.idle": "2026-02-13T14:59:15.085340Z",
"shell.execute_reply": "2026-02-13T14:59:15.084598Z"
}
},
"outputs": [],
"source": [
"time_channel = TimeChannel(cdl, rg.bandwidth, rg.num_time_samples,\n",
" l_min=l_min, l_max=l_max, normalize_channel=True,\n",
" add_awgn=True, return_channel=True)\n",
"\n",
"y_time, h_time = time_channel(x_time, no)"
]
},
{
"cell_type": "markdown",
"id": "625806c7-c471-4791-88b0-5ab59b4bed72",
"metadata": {},
"source": [
"Next, we will compare the perfect CSI that we computed above using the ideal\n",
"channel frequency response and the estimated channel response that we obtain \n",
"from pilots with nearest-neighbor interpolation based on simulated transmissions\n",
"in the time domain."
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "40aafe19-ac89-47c8-9793-f4141f86490d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.087223Z",
"iopub.status.busy": "2026-02-13T14:59:15.087108Z",
"iopub.status.idle": "2026-02-13T14:59:15.090224Z",
"shell.execute_reply": "2026-02-13T14:59:15.089551Z"
}
},
"outputs": [],
"source": [
"# In the example above, we assumed perfect CSI, i.e.,\n",
"# h_hat correpsond to the exact ideal channel frequency response.\n",
"h_perf = h_hat[0,0,0,0,0,0]\n",
"\n",
"# We now compute the LS channel estimate from the pilots.\n",
"h_est, _ = ls_est (y, no)\n",
"h_est = h_est[0,0,0,0,0,0]"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "cd4c892e-7d0d-47b9-8e33-a9e6c714d5ee",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.092227Z",
"iopub.status.busy": "2026-02-13T14:59:15.092115Z",
"iopub.status.idle": "2026-02-13T14:59:15.212663Z",
"shell.execute_reply": "2026-02-13T14:59:15.211981Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(np.real(h_perf.cpu().numpy()))\n",
"plt.plot(np.imag(h_perf.cpu().numpy()))\n",
"plt.plot(np.real(h_est.cpu().numpy()), \"--\")\n",
"plt.plot(np.imag(h_est.cpu().numpy()), \"--\")\n",
"plt.xlabel(\"Subcarrier index\")\n",
"plt.ylabel(\"Channel frequency response\")\n",
"plt.legend([\"Ideal (real part)\", \"Ideal (imaginary part)\", \"Estimated (real part)\", \"Estimated (imaginary part)\"]);\n",
"plt.title(\"Comparison of channel frequency responses\");"
]
},
{
"cell_type": "markdown",
"id": "9d04adc8-7db8-4361-97fd-b85be6b640b5",
"metadata": {},
"source": [
"### Downlink Transmission in the Frequency Domain \n",
"\n",
"We will now simulate a simple downlink transmission in the frequency domain.\n",
"In contrast to the uplink, the transmitter is now assumed to precode independent data\n",
"streams to each antenna of the receiver based on perfect CSI.\n",
"\n",
"The receiver can either estimate the channel or get access to the effective channel\n",
"after precoding.\n",
"\n",
"The first thing to do, is to change the `direction` within the CDL model. This makes the BS the transmitter and the UT the receiver."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "fa8283c9-2855-4416-9257-54446668e47a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.214955Z",
"iopub.status.busy": "2026-02-13T14:59:15.214817Z",
"iopub.status.idle": "2026-02-13T14:59:15.218858Z",
"shell.execute_reply": "2026-02-13T14:59:15.218127Z"
}
},
"outputs": [],
"source": [
"direction = \"downlink\"\n",
"cdl = CDL(cdl_model, delay_spread, carrier_frequency, ut_array, bs_array, direction, min_speed=speed)"
]
},
{
"cell_type": "markdown",
"id": "2a759927-5f5d-4283-940d-8465ce4754b2",
"metadata": {},
"source": [
"The following code shows the other necessary modifications:"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "14a05bb1-bf43-46de-b699-f8ac4d23cf0a",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.220806Z",
"iopub.status.busy": "2026-02-13T14:59:15.220688Z",
"iopub.status.idle": "2026-02-13T14:59:15.253694Z",
"shell.execute_reply": "2026-02-13T14:59:15.252929Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"BER: 0.0\n"
]
}
],
"source": [
"perfect_csi = True # Change to switch between perfect and imperfect CSI\n",
"no = ebnodb2no(ebno_db, num_bits_per_symbol, coderate, rg)\n",
"\n",
"b = binary_source([batch_size, 1, rg.num_streams_per_tx, encoder.k])\n",
"c = encoder(b)\n",
"x = mapper(c)\n",
"x_rg = rg_mapper(x)\n",
"cir = cdl(batch_size, rg.num_ofdm_symbols, 1/rg.ofdm_symbol_duration)\n",
"h_freq = cir_to_ofdm_channel(frequencies, *cir, normalize=True)\n",
"\n",
"# Precode the transmit signal in the frequency domain\n",
"# It is here assumed that the transmitter has perfect knowledge of the channel\n",
"# One could here reduce this to perfect knowledge of the channel for the first\n",
"# OFDM symbol, or a noisy version of it to take outdated transmit CSI into account.\n",
"# `g` is the post-beamforming or `effective channel` that can be\n",
"# used to simulate perfect CSI at the receiver.\n",
"x_rg, g = zf_precoder(x_rg, h_freq)\n",
"\n",
"y = channel_freq(x_rg, h_freq, no)\n",
"\n",
"if perfect_csi:\n",
" # The receiver gets here the effective channel after precoding as CSI\n",
" h_hat, err_var = g, 0.\n",
"else:\n",
" h_hat, err_var = ls_est (y, no)\n",
"\n",
"x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n",
"llr = demapper(x_hat, no_eff)\n",
"b_hat = decoder(llr)\n",
"ber = compute_ber(b, b_hat)\n",
"print(\"BER: {}\".format(ber))"
]
},
{
"cell_type": "markdown",
"id": "6ef20a24-5ae3-4e95-882a-e039667186d8",
"metadata": {},
"source": [
"We do not explain here on purpose how to model the downlink transmission in the time domain\n",
"as it is a good exercise for the reader to do it her/himself. The key steps are:\n",
"\n",
"* Sample the channel impulse response at the Nyquist rate.\n",
"* Downsample it to the OFDM symbol (+ cyclic prefix) rate (look at the uplink example).\n",
"* Convert the downsampled CIR to the frequency domain.\n",
"* Give this CSI to the transmitter for precoding.\n",
"* Convert the CIR to discrete-time to compute the channel output in the time domain."
]
},
{
"cell_type": "markdown",
"id": "fc1542bc-104a-407d-abbb-f6252d400d16",
"metadata": {},
"source": [
"### Understand the Difference Between the CDL Models \n",
"\n",
"Before we proceed with more advanced simulations, it is important to understand the differences\n",
"between the different CDL models. The models \"A\", \"B\", and \"C\" are non-line-of-sight (NLOS) models,\n",
"while \"D\" and \"E\" are LOS. In the following code snippet, we compute the empirical cummulative\n",
"distribution function (CDF) of the condition number of the channel frequency response matrix\n",
"between all receiver and transmit antennas."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "4c3e2e53-90e1-4d3e-8c8c-cb730cfe6c11",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:15.255741Z",
"iopub.status.busy": "2026-02-13T14:59:15.255624Z",
"iopub.status.idle": "2026-02-13T14:59:18.731575Z",
"shell.execute_reply": "2026-02-13T14:59:18.730603Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'CDF of the condition number of 8x4 MIMO channels')"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def fun(cdl_model):\n",
" \"\"\"Generates a histogram of the channel condition numbers\"\"\"\n",
"\n",
" # Setup a CIR generator\n",
" cdl = CDL(cdl_model, delay_spread, carrier_frequency,\n",
" ut_array, bs_array, \"uplink\", min_speed=0)\n",
"\n",
" # Generate random CIR realizations\n",
" # As we need only a single sample in time, the sampling_frequency\n",
" # does not matter.\n",
" cir = cdl(2000, 1, 1)\n",
"\n",
" # Compute the frequency response\n",
" h = cir_to_ofdm_channel(frequencies, *cir, normalize=True)\n",
"\n",
" # Reshape to [batch_size, fft_size, num_rx_ant, num_tx_ant]\n",
" h = torch.squeeze(h)\n",
" h = torch.permute(h, (0, 3, 1, 2))\n",
"\n",
" # Compute condition number\n",
" c = np.reshape(np.linalg.cond(h.cpu().numpy()), [-1])\n",
"\n",
" # Compute normalized histogram\n",
" hist, bins = np.histogram(c, 150, (1, 150))\n",
" hist = hist / np.sum(hist)\n",
" return bins[:-1], hist\n",
"\n",
"plt.figure()\n",
"for cdl_model in [\"A\", \"B\", \"C\", \"D\", \"E\"]:\n",
" bins, hist = fun(cdl_model)\n",
" plt.plot(bins, np.cumsum(hist))\n",
"plt.xlim([0,150])\n",
"plt.legend([\"CDL-A\", \"CDL-B\", \"CDL-C\", \"CDL-D\", \"CDL-E\"])\n",
"plt.xlabel(\"Channel Condition Number\")\n",
"plt.ylabel(\"CDF\")\n",
"plt.title(\"CDF of the condition number of 8x4 MIMO channels\")"
]
},
{
"cell_type": "markdown",
"id": "7f3384a8-72ed-4186-9887-634891337f26",
"metadata": {},
"source": [
"From the figure above, you can observe that the CDL-B and CDL-C models\n",
"are substantially better conditioned than the other models. This makes \n",
"them more suitable for MIMO transmissions as we will observe in the next\n",
"section."
]
},
{
"cell_type": "markdown",
"id": "b6adf8ac-53a6-43e2-ba5f-fa67f67cf8d0",
"metadata": {},
"source": [
"### Create an End-to-End Model \n",
"\n",
"For longer simulations, it is often convenient to pack all code into a single\n",
"model that outputs batches of transmitted and received information bits\n",
"at a given Eb/No point. The following code defines a very general model that can\n",
"simulate uplink and downlink transmissions with time or frequency domain modeling\n",
"over the different CDL models. It allows to configure perfect or imperfect CSI,\n",
"UT speed, cyclic prefix length, and the number of OFDM symbols for pilot transmissions."
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "44f964b2-4a42-4b66-a97c-849194f956ef",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:18.733980Z",
"iopub.status.busy": "2026-02-13T14:59:18.733853Z",
"iopub.status.idle": "2026-02-13T14:59:18.759974Z",
"shell.execute_reply": "2026-02-13T14:59:18.759149Z"
}
},
"outputs": [],
"source": [
"if torch.cuda.is_available():\n",
" torch.cuda.empty_cache()\n",
" torch.cuda.synchronize()\n",
"\n",
"class Model(Block):\n",
" \"\"\"This block simulates OFDM MIMO transmissions over the CDL model.\n",
"\n",
" Simulates point-to-point transmissions between a UT and a BS.\n",
" Uplink and downlink transmissions can be realized with either perfect CSI\n",
" or channel estimation. ZF Precoding for downlink transmissions is assumed.\n",
" The receiver (in both uplink and downlink) applies LS channel estimation\n",
" and LMMSE MIMO equalization. A 5G LDPC code as well as QAM modulation are\n",
" used.\n",
"\n",
" Parameters\n",
" ----------\n",
" domain : One of [\"time\", \"freq\"], str\n",
" Determines if the channel is modeled in the time or frequency domain.\n",
" Time-domain simulations are generally slower and consume more memory.\n",
" They allow modeling of inter-symbol interference and channel changes\n",
" during the duration of an OFDM symbol.\n",
"\n",
" direction : One of [\"uplink\", \"downlink\"], str\n",
" For \"uplink\", the UT transmits. For \"downlink\" the BS transmits.\n",
"\n",
" cdl_model : One of [\"A\", \"B\", \"C\", \"D\", \"E\"], str\n",
" The CDL model to use. Note that \"D\" and \"E\" are LOS models that are\n",
" not well suited for the transmissions of multiple streams.\n",
"\n",
" delay_spread : float\n",
" The nominal delay spread [s].\n",
"\n",
" perfect_csi : bool\n",
" Indicates if perfect CSI at the receiver should be assumed. For downlink\n",
" transmissions, the transmitter is always assumed to have perfect CSI.\n",
"\n",
" speed : float\n",
" The UT speed [m/s].\n",
"\n",
" cyclic_prefix_length : int\n",
" The length of the cyclic prefix in number of samples.\n",
"\n",
" pilot_ofdm_symbol_indices : list, int\n",
" List of integers defining the OFDM symbol indices that are reserved\n",
" for pilots.\n",
"\n",
" subcarrier_spacing : float\n",
" The subcarrier spacing [Hz]. Defaults to 15e3.\n",
"\n",
" Input\n",
" -----\n",
" batch_size : int\n",
" The batch size, i.e., the number of independent Mote Carlo simulations\n",
" to be performed at once. The larger this number, the larger the memory\n",
" requiremens.\n",
"\n",
" ebno_db : float\n",
" The Eb/No [dB]. This value is converted to an equivalent noise power\n",
" by taking the modulation order, coderate, pilot and OFDM-related\n",
" overheads into account.\n",
"\n",
" Output\n",
" ------\n",
" b : [batch_size, 1, num_streams, k], torch.float\n",
" The tensor of transmitted information bits for each stream.\n",
"\n",
" b_hat : [batch_size, 1, num_streams, k], torch.float\n",
" The tensor of received information bits for each stream.\n",
" \"\"\"\n",
"\n",
" def __init__(self,\n",
" domain,\n",
" direction,\n",
" cdl_model,\n",
" delay_spread,\n",
" perfect_csi,\n",
" speed,\n",
" cyclic_prefix_length,\n",
" pilot_ofdm_symbol_indices,\n",
" subcarrier_spacing = 15e3\n",
" ):\n",
" super().__init__()\n",
"\n",
" # Provided parameters\n",
" self._domain = domain\n",
" self._direction = direction\n",
" self._cdl_model = cdl_model\n",
" self._delay_spread = delay_spread\n",
" self._perfect_csi = perfect_csi\n",
" self._speed = speed\n",
" self._cyclic_prefix_length = cyclic_prefix_length\n",
" self._pilot_ofdm_symbol_indices = pilot_ofdm_symbol_indices\n",
"\n",
" # System parameters\n",
" self._carrier_frequency = 2.6e9\n",
" self._subcarrier_spacing = subcarrier_spacing\n",
" self._fft_size = 72\n",
" self._num_ofdm_symbols = 14\n",
" self._num_ut_ant = 4 # Must be a multiple of two as dual-polarized antennas are used\n",
" self._num_bs_ant = 8 # Must be a multiple of two as dual-polarized antennas are used\n",
" self._num_streams_per_tx = self._num_ut_ant\n",
" self._dc_null = True\n",
" self._num_guard_carriers = [5, 6]\n",
" self._pilot_pattern = \"kronecker\"\n",
" self._pilot_ofdm_symbol_indices = pilot_ofdm_symbol_indices\n",
" self._num_bits_per_symbol = 2\n",
" self._coderate = 0.5\n",
"\n",
" # Required system components\n",
" self._sm = StreamManagement(np.array([[1]]), self._num_streams_per_tx)\n",
"\n",
" self._rg = ResourceGrid(num_ofdm_symbols=self._num_ofdm_symbols,\n",
" fft_size=self._fft_size,\n",
" subcarrier_spacing = self._subcarrier_spacing,\n",
" num_tx=1,\n",
" num_streams_per_tx=self._num_streams_per_tx,\n",
" cyclic_prefix_length=self._cyclic_prefix_length,\n",
" num_guard_carriers=self._num_guard_carriers,\n",
" dc_null=self._dc_null,\n",
" pilot_pattern=self._pilot_pattern,\n",
" pilot_ofdm_symbol_indices=self._pilot_ofdm_symbol_indices)\n",
"\n",
" self._n = int(self._rg.num_data_symbols * self._num_bits_per_symbol)\n",
" self._k = int(self._n * self._coderate)\n",
"\n",
" self._ut_array = AntennaArray(num_rows=1,\n",
" num_cols=int(self._num_ut_ant/2),\n",
" polarization=\"dual\",\n",
" polarization_type=\"cross\",\n",
" antenna_pattern=\"38.901\",\n",
" carrier_frequency=self._carrier_frequency)\n",
"\n",
" self._bs_array = AntennaArray(num_rows=1,\n",
" num_cols=int(self._num_bs_ant/2),\n",
" polarization=\"dual\",\n",
" polarization_type=\"cross\",\n",
" antenna_pattern=\"38.901\",\n",
" carrier_frequency=self._carrier_frequency)\n",
"\n",
" self._cdl = CDL(model=self._cdl_model,\n",
" delay_spread=self._delay_spread,\n",
" carrier_frequency=self._carrier_frequency,\n",
" ut_array=self._ut_array,\n",
" bs_array=self._bs_array,\n",
" direction=self._direction,\n",
" min_speed=self._speed)\n",
"\n",
" self._frequencies = subcarrier_frequencies(self._rg.fft_size, self._rg.subcarrier_spacing)\n",
"\n",
" if self._domain == \"freq\":\n",
" self._channel_freq = ApplyOFDMChannel(add_awgn=True)\n",
"\n",
" elif self._domain == \"time\":\n",
" self._l_min, self._l_max = time_lag_discrete_time_channel(self._rg.bandwidth)\n",
" self._l_tot = self._l_max - self._l_min + 1\n",
" self._channel_time = ApplyTimeChannel(self._rg.num_time_samples,\n",
" l_tot=self._l_tot,\n",
" add_awgn=True)\n",
" self._modulator = OFDMModulator(self._cyclic_prefix_length)\n",
" self._demodulator = OFDMDemodulator(self._fft_size, self._l_min, self._cyclic_prefix_length)\n",
"\n",
" self._binary_source = BinarySource()\n",
" self._encoder = LDPC5GEncoder(self._k, self._n)\n",
" self._mapper = Mapper(\"qam\", self._num_bits_per_symbol)\n",
" self._rg_mapper = ResourceGridMapper(self._rg)\n",
"\n",
" if self._direction == \"downlink\":\n",
" self._zf_precoder = RZFPrecoder(self._rg, self._sm, return_effective_channel=True)\n",
"\n",
" self._ls_est = LSChannelEstimator(self._rg, interpolation_type=\"nn\")\n",
" self._lmmse_equ = LMMSEEqualizer(self._rg, self._sm)\n",
" self._demapper = Demapper(\"app\", \"qam\", self._num_bits_per_symbol)\n",
" self._decoder = LDPC5GDecoder(self._encoder, hard_out=True)\n",
" self._remove_nulled_scs = RemoveNulledSubcarriers(self._rg)\n",
"\n",
" def call(self, batch_size, ebno_db):\n",
"\n",
" no = ebnodb2no(ebno_db, self._num_bits_per_symbol, self._coderate, self._rg)\n",
" b = self._binary_source([batch_size, 1, self._num_streams_per_tx, self._k])\n",
" c = self._encoder(b)\n",
" x = self._mapper(c)\n",
" x_rg = self._rg_mapper(x)\n",
"\n",
" if self._domain == \"time\":\n",
" # Time-domain simulations\n",
"\n",
" a, tau = self._cdl(batch_size, self._rg.num_time_samples+self._l_tot-1, self._rg.bandwidth)\n",
" h_time = cir_to_time_channel(self._rg.bandwidth, a, tau,\n",
" l_min=self._l_min, l_max=self._l_max, normalize=True)\n",
"\n",
" # As precoding is done in the frequency domain, we need to downsample\n",
" # the path gains `a` to the OFDM symbol rate prior to converting the CIR\n",
" # to the channel frequency response.\n",
" a_freq = a[...,self._rg.cyclic_prefix_length:-1:(self._rg.fft_size+self._rg.cyclic_prefix_length)]\n",
" a_freq = a_freq[...,:self._rg.num_ofdm_symbols]\n",
" h_freq = cir_to_ofdm_channel(self._frequencies, a_freq, tau, normalize=True)\n",
"\n",
" if self._direction == \"downlink\":\n",
" x_rg, g = self._zf_precoder(x_rg, h_freq)\n",
"\n",
" x_time = self._modulator(x_rg)\n",
" y_time = self._channel_time(x_time, h_time, no)\n",
"\n",
" y = self._demodulator(y_time)\n",
"\n",
" elif self._domain == \"freq\":\n",
" # Frequency-domain simulations\n",
"\n",
" cir = self._cdl(batch_size, self._rg.num_ofdm_symbols, 1/self._rg.ofdm_symbol_duration)\n",
" h_freq = cir_to_ofdm_channel(self._frequencies, *cir, normalize=True)\n",
"\n",
" if self._direction == \"downlink\":\n",
" x_rg, g = self._zf_precoder(x_rg, h_freq)\n",
"\n",
" y = self._channel_freq(x_rg, h_freq, no)\n",
"\n",
" if self._perfect_csi:\n",
" if self._direction == \"uplink\":\n",
" h_hat = self._remove_nulled_scs(h_freq)\n",
" elif self._direction ==\"downlink\":\n",
" h_hat = g\n",
" err_var = 0.0\n",
" else:\n",
" h_hat, err_var = self._ls_est (y, no)\n",
"\n",
" x_hat, no_eff = self._lmmse_equ(y, h_hat, err_var, no)\n",
" llr = self._demapper(x_hat, no_eff)\n",
" b_hat = self._decoder(llr)\n",
"\n",
" return b, b_hat"
]
},
{
"cell_type": "markdown",
"id": "4ec9440d-e137-4ec3-9bd4-66c08eb8ca71",
"metadata": {
"tags": []
},
"source": [
"### Compare Uplink Performance Over the Different CDL Models \n",
"\n",
"We will now compare the uplink performance over the various CDL models assuming perfect CSI at the receiver. \n",
"Note that these simulations might take some time depending or you available hardware.\n",
"You can reduce the `batch_size` if the model does not fit into the memory of your GPU. \n",
"The code will also run on CPU if not GPU is available.\n",
"\n",
"If you do not want to run the simulation your self, you skip the next cell and simply look at the result in the next cell."
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "34fe3733-8d03-4187-a3fb-98926ca58500",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T14:59:18.761914Z",
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"shell.execute_reply": "2026-02-13T15:00:12.042980Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 1.2158e-01 | 5.8936e-01 | 179279 | 1474560 | 1207 | 2048 | 4.6 |reached target block errors\n",
" -1.0 | 5.4208e-02 | 3.0225e-01 | 159866 | 2949120 | 1238 | 4096 | 0.1 |reached target block errors\n",
" 3.0 | 1.9998e-02 | 1.2476e-01 | 117951 | 5898240 | 1022 | 8192 | 0.3 |reached target block errors\n",
" 7.0 | 4.9651e-03 | 3.3040e-02 | 109819 | 22118400 | 1015 | 30720 | 1.0 |reached target block errors\n",
" 11.0 | 8.9577e-04 | 6.6602e-03 | 66043 | 73728000 | 682 | 102400 | 3.4 |reached max iterations\n",
" 15.0 | 1.4475e-04 | 1.1914e-03 | 10672 | 73728000 | 122 | 102400 | 3.4 |reached max iterations\n",
" 19.0 | 2.2705e-05 | 1.7578e-04 | 1674 | 73728000 | 18 | 102400 | 3.4 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 19.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 5.4084e-03 | 4.0771e-02 | 95701 | 17694720 | 1002 | 24576 | 0.8 |reached target block errors\n",
" -1.0 | 2.4760e-04 | 2.0703e-03 | 18255 | 73728000 | 212 | 102400 | 3.4 |reached max iterations\n",
" 3.0 | 5.9543e-06 | 5.8594e-05 | 439 | 73728000 | 6 | 102400 | 3.4 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 3.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 4.1051e-02 | 2.3438e-01 | 151330 | 3686400 | 1200 | 5120 | 3.2 |reached target block errors\n",
" -1.0 | 7.5218e-03 | 4.9072e-02 | 110913 | 14745600 | 1005 | 20480 | 0.7 |reached target block errors\n",
" 3.0 | 7.8403e-04 | 5.7227e-03 | 57805 | 73728000 | 586 | 102400 | 3.4 |reached max iterations\n",
" 7.0 | 6.7898e-05 | 5.2734e-04 | 5006 | 73728000 | 54 | 102400 | 3.4 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 7.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 2.1158e-01 | 9.4873e-01 | 311992 | 1474560 | 1943 | 2048 | 2.7 |reached target block errors\n",
" -1.0 | 1.1571e-01 | 6.7578e-01 | 170620 | 1474560 | 1384 | 2048 | 0.1 |reached target block errors\n",
" 3.0 | 2.4518e-02 | 1.9482e-01 | 108461 | 4423680 | 1197 | 6144 | 0.2 |reached target block errors\n",
" 7.0 | 1.6342e-03 | 1.6767e-02 | 71088 | 43499520 | 1013 | 60416 | 1.8 |reached target block errors\n",
" 11.0 | 2.1769e-05 | 3.1250e-04 | 1605 | 73728000 | 32 | 102400 | 3.0 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 11.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 2.1126e-01 | 9.3994e-01 | 311520 | 1474560 | 1925 | 2048 | 3.1 |reached target block errors\n",
" -1.0 | 1.1541e-01 | 6.7676e-01 | 170185 | 1474560 | 1386 | 2048 | 0.1 |reached target block errors\n",
" 3.0 | 3.6113e-02 | 2.6099e-01 | 106503 | 2949120 | 1069 | 4096 | 0.1 |reached target block errors\n",
" 7.0 | 5.0869e-03 | 4.3224e-02 | 86261 | 16957440 | 1018 | 23552 | 0.7 |reached target block errors\n",
" 11.0 | 4.0535e-04 | 4.0332e-03 | 29886 | 73728000 | 413 | 102400 | 3.1 |reached max iterations\n",
" 15.0 | 1.6981e-05 | 1.6602e-04 | 1252 | 73728000 | 17 | 102400 | 3.1 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 15.0 dB.\n",
"\n"
]
}
],
"source": [
"torch._dynamo.reset()\n",
"\n",
"UL_SIMS = {\n",
" \"ebno_db\" : list(np.arange(-5, 20, 4.0)),\n",
" \"cdl_model\" : [\"A\", \"B\", \"C\", \"D\", \"E\"],\n",
" \"delay_spread\" : 100e-9,\n",
" \"domain\" : \"freq\",\n",
" \"direction\" : \"uplink\",\n",
" \"perfect_csi\" : True,\n",
" \"speed\" : 0.0,\n",
" \"cyclic_prefix_length\" : 6,\n",
" \"pilot_ofdm_symbol_indices\" : [2, 11],\n",
" \"ber\" : [],\n",
" \"bler\" : [],\n",
" \"duration\" : None\n",
"}\n",
"\n",
"start = time.time()\n",
"\n",
"for cdl_model in UL_SIMS[\"cdl_model\"]:\n",
"\n",
" model = Model(domain=UL_SIMS[\"domain\"],\n",
" direction=UL_SIMS[\"direction\"],\n",
" cdl_model=cdl_model,\n",
" delay_spread=UL_SIMS[\"delay_spread\"],\n",
" perfect_csi=UL_SIMS[\"perfect_csi\"],\n",
" speed=UL_SIMS[\"speed\"],\n",
" cyclic_prefix_length=UL_SIMS[\"cyclic_prefix_length\"],\n",
" pilot_ofdm_symbol_indices=UL_SIMS[\"pilot_ofdm_symbol_indices\"])\n",
"\n",
" ber, bler = sim_ber(model,\n",
" UL_SIMS[\"ebno_db\"],\n",
" batch_size=256,\n",
" max_mc_iter=100,\n",
" num_target_block_errors=1000,\n",
" target_bler=1e-3,\n",
" compile_mode=\"reduce-overhead\")\n",
"\n",
" UL_SIMS[\"ber\"].append(list(ber.cpu().numpy()))\n",
" UL_SIMS[\"bler\"].append(list(bler.cpu().numpy()))\n",
"\n",
"UL_SIMS[\"duration\"] = time.time() - start"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "fece3145-1771-4c12-b53d-5325b635e274",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:00:12.046593Z",
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}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.01 [h]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"Simulation duration: {:1.2f} [h]\".format(UL_SIMS[\"duration\"]/3600))\n",
"\n",
"plt.figure()\n",
"plt.xlabel(r\"$E_b/N_0$ (dB)\")\n",
"plt.ylabel(\"BLER\")\n",
"plt.grid(which=\"both\")\n",
"plt.title(\"8x4 MIMO Uplink - Frequency Domain Modeling\");\n",
"plt.ylim([1e-3, 1.1])\n",
"legend = []\n",
"for i, bler in enumerate(UL_SIMS[\"bler\"]):\n",
" plt.semilogy(UL_SIMS[\"ebno_db\"], bler)\n",
" legend.append(\"CDL-{}\".format(UL_SIMS[\"cdl_model\"][i]))\n",
"plt.legend(legend);"
]
},
{
"cell_type": "markdown",
"id": "66c12023-45df-4b78-a609-517bde61105d",
"metadata": {
"tags": []
},
"source": [
"### Compare Downlink Performance Over the Different CDL Models \n",
"\n",
"We will now compare the downlink performance over the various CDL models assuming perfect CSI at the receiver. \n",
"\n",
"If you do not want to run the simulation your self, you skip the next cell and simply look at the result in the next cell."
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "fbfa11c7-5edd-4908-a926-a64e68079aff",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:00:12.254578Z",
"iopub.status.busy": "2026-02-13T15:00:12.254441Z",
"iopub.status.idle": "2026-02-13T15:00:39.762701Z",
"shell.execute_reply": "2026-02-13T15:00:39.761705Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 3.5178e-01 | 9.6484e-01 | 259363 | 737280 | 988 | 1024 | 3.6 |reached target block errors\n",
" -1.0 | 2.8070e-01 | 8.4277e-01 | 206955 | 737280 | 863 | 1024 | 0.1 |reached target block errors\n",
" 3.0 | 1.6709e-01 | 5.8203e-01 | 123189 | 737280 | 596 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 6.7946e-02 | 2.8711e-01 | 50095 | 737280 | 294 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 2.5273e-02 | 1.1230e-01 | 18633 | 737280 | 115 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 6.4480e-03 | 3.2552e-02 | 14262 | 2211840 | 100 | 3072 | 0.1 |reached target block errors\n",
" 19.0 | 1.3585e-03 | 7.5120e-03 | 13021 | 9584640 | 100 | 13312 | 0.5 |reached target block errors\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 4.1429e-02 | 2.3633e-01 | 30545 | 737280 | 242 | 1024 | 0.1 |reached target block errors\n",
" -1.0 | 3.7520e-03 | 2.5879e-02 | 11065 | 2949120 | 106 | 4096 | 0.2 |reached target block errors\n",
" 3.0 | 1.1882e-04 | 8.6914e-04 | 8760 | 73728000 | 89 | 102400 | 4.0 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 3.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 1.6514e-01 | 6.4160e-01 | 121754 | 737280 | 657 | 1024 | 2.7 |reached target block errors\n",
" -1.0 | 5.6143e-02 | 2.6758e-01 | 41393 | 737280 | 274 | 1024 | 0.1 |reached target block errors\n",
" 3.0 | 8.6950e-03 | 5.1432e-02 | 19232 | 2211840 | 158 | 3072 | 0.1 |reached target block errors\n",
" 7.0 | 8.2750e-04 | 5.1270e-03 | 12202 | 14745600 | 105 | 20480 | 0.8 |reached target block errors\n",
" 11.0 | 5.3860e-05 | 3.8086e-04 | 3971 | 73728000 | 39 | 102400 | 4.0 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 11.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 4.1753e-01 | 1.0000e+00 | 307833 | 737280 | 1024 | 1024 | 3.0 |reached target block errors\n",
" -1.0 | 3.7066e-01 | 9.9805e-01 | 273278 | 737280 | 1022 | 1024 | 0.1 |reached target block errors\n",
" 3.0 | 2.8531e-01 | 9.8242e-01 | 210350 | 737280 | 1006 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 1.4098e-01 | 6.3574e-01 | 103943 | 737280 | 651 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 3.2000e-02 | 1.9043e-01 | 23593 | 737280 | 195 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 1.4212e-03 | 1.0156e-02 | 10478 | 7372800 | 104 | 10240 | 0.4 |reached target block errors\n",
" 19.0 | 2.4631e-05 | 1.7578e-04 | 1816 | 73728000 | 18 | 102400 | 3.6 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 19.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" -5.0 | 4.2344e-01 | 1.0000e+00 | 312193 | 737280 | 1024 | 1024 | 2.6 |reached target block errors\n",
" -1.0 | 3.8390e-01 | 1.0000e+00 | 283044 | 737280 | 1024 | 1024 | 0.1 |reached target block errors\n",
" 3.0 | 3.2563e-01 | 9.7266e-01 | 240082 | 737280 | 996 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 1.8983e-01 | 7.4512e-01 | 139956 | 737280 | 763 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 7.3744e-02 | 3.4570e-01 | 54370 | 737280 | 354 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 1.5349e-02 | 8.3008e-02 | 22633 | 1474560 | 170 | 2048 | 0.1 |reached target block errors\n",
" 19.0 | 7.3158e-04 | 4.8828e-03 | 11327 | 15482880 | 105 | 21504 | 0.8 |reached target block errors\n"
]
}
],
"source": [
"torch._dynamo.reset()\n",
"\n",
"DL_SIMS = {\n",
" \"ebno_db\" : list(np.arange(-5, 20, 4.0)),\n",
" \"cdl_model\" : [\"A\", \"B\", \"C\", \"D\", \"E\"],\n",
" \"delay_spread\" : 100e-9,\n",
" \"domain\" : \"freq\",\n",
" \"direction\" : \"downlink\",\n",
" \"perfect_csi\" : True,\n",
" \"speed\" : 0.0,\n",
" \"cyclic_prefix_length\" : 6,\n",
" \"pilot_ofdm_symbol_indices\" : [2, 11],\n",
" \"ber\" : [],\n",
" \"bler\" : [],\n",
" \"duration\" : None\n",
"}\n",
"\n",
"start = time.time()\n",
"\n",
"for cdl_model in DL_SIMS[\"cdl_model\"]:\n",
"\n",
" model = Model(domain=DL_SIMS[\"domain\"],\n",
" direction=DL_SIMS[\"direction\"],\n",
" cdl_model=cdl_model,\n",
" delay_spread=DL_SIMS[\"delay_spread\"],\n",
" perfect_csi=DL_SIMS[\"perfect_csi\"],\n",
" speed=DL_SIMS[\"speed\"],\n",
" cyclic_prefix_length=DL_SIMS[\"cyclic_prefix_length\"],\n",
" pilot_ofdm_symbol_indices=DL_SIMS[\"pilot_ofdm_symbol_indices\"])\n",
"\n",
" ber, bler = sim_ber(model,\n",
" DL_SIMS[\"ebno_db\"],\n",
" batch_size=256,\n",
" max_mc_iter=100,\n",
" num_target_block_errors=100,\n",
" target_bler=1e-3,\n",
" compile_mode=\"reduce-overhead\")\n",
"\n",
" DL_SIMS[\"ber\"].append(list(ber.cpu().numpy()))\n",
" DL_SIMS[\"bler\"].append(list(bler.cpu().numpy()))\n",
"\n",
"DL_SIMS[\"duration\"] = time.time() - start"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "c7580be3-479e-4aae-bf9b-37fbef482510",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:00:39.765400Z",
"iopub.status.busy": "2026-02-13T15:00:39.765264Z",
"iopub.status.idle": "2026-02-13T15:00:39.971683Z",
"shell.execute_reply": "2026-02-13T15:00:39.970791Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.01 [h]\n"
]
},
{
"data": {
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fH4WiYPmzWq3m9ddfZ8OGDfj4+BAUFJSvS2qZ+vfvz6BBg7h//z5//vknX3/9dY77ZSZFLxuGHBcXh729fb7jyRQfH68rJzAwECDHUXA1atRg7969JCQk6PpPpKenc/z4cVxdXQkLC8PX15crV65kSY5q1qyZ5YMIyPKhnqlChQo8fvw4X6/h2fIy3wCfLS85OZmuXbvSsGFDfv3111yNEEpKSiImJibLNkdHx5c+z8fHh0aNGj338WdHst26dQvISJqeJyYmhpSUFJKSkqhSpUq2x6tVq5bjB/zLhIeHEx0dzcqVK1m5cmWO+4SFhWW5/7I6v3PnDvDyEXodOnTAycmJ9evX065dO7RaLb/88gs9e/Z86ReE3Mjv+Z3p2ddpaWmJkZERtra22bY/O8XG2rVrmTdvHtevX89yiffZv/3zvKiOn3fJ/VldunTB3NycTZs2ceHCBRo3boyXl1eOlxADAwOz9A/MVKNGDd3jtWvXJjAwEC8vryxJLmSv19ye03lNWF527mX+nb28vLLsp1Kp8j1PWmkikqMyYOnSpdSvX1+XGGXq0aMHa9as4fz587Rv3163PTIyUjdf0dWrV9FqtVmSoA8++ABfX1/c3d11//yZfT2Cg4O5f/9+jh/Mz9O/f3+WL1/OjBkz8Pb2pmbNmvl9qfTo0QNDQ0OGDBlCSkpKtuG1mTLfiP7999/nlhUYGEhsbGyB4oGMTpUxMTHZ3kRyo1GjRhgZGXHo0CEqVaqEvb09VatWxdfXl6VLl5KSksLhw4fp3bt3tuc+r0O7LMt5jiMv5RkaGtKlSxe2bt3Knj17ss1LlZNNmzYxbNiwQonzaU+3GgG6b9Bz586lXr16OT7HzMwsT9NSPPvhlUmj0eR47IEDBz73g+zZ4fCF9TdUKpX079+fVatWsXTpUo4ePcqjR4+yTaORHwU5v5+OLzfbIOtrX7duHUOHDqVXr168//772Nvbo1Qq+eKLL3SJY36O/exxXsbQ0JA+ffqwdu1a7t69W6yTTeb2nM6rwn7/KGtEclQGhIaG5vitIfNbVnp6epbtY8aM0XVQ/Oijj5g/fz6TJk3SPX7//n0CAwNz/GbWo0cPLC0ts4zceJmWLVtSqVIlDh48yFdffZXr5+XE2NiYXr16sW7dOjp37pztm2emqlWrUrVqVf78808WLFiQ47fnzJFduflwf5Gff/4ZQHc5JvMy340bN7Lte/36dWxtbXXfqg0MDHQjQCpVqqRr2vb19SUlJYX169cTGhqarTO2PkmSxPr16+nZsyevv/46u3fvfunIlU6dOmW7JFYUMkdVWlhYZPlC8Cw7OzuMjY1138qf9uzfLfN/69lzPvOb9dNlmpubo9FoXnjsvMh8PZcvX35pmYMHD2bevHls376d3bt3Y2dnl+9LhE8ryPldUL///jseHh5s2bIlS5I6ffr0Qik/L/r3788PP/yAQqGgX79+z92vcuXKz62bzMczf16+fBlZlrO8tmefm9tzurBlxnn79m38/Px029PT0wkICCjx814VlOhzVAZUrVqV8+fPc/PmzSzbf/nlFxQKRZaT+Pfff2fTpk18+eWXfPjhh/Tr149PPvkky3NXrlzJH3/8keU2btw4AL755pscR8W8iCRJLFy4kOnTp+tGvhTElClTmD59Op9++ukL95s2bRqPHz/m3XffzfYt/+zZs3z11VfUrl27QH0y9u/fz+zZs3F3d9eN9HBycqJevXqsXbs2ywfq5cuX+euvv7KNCvT19eXkyZMcOHBAlxzZ2tpSo0YNXTL5dN+iksDAwIAtW7bQuHFjunfv/tIRM05OTrRv3z7LrSg0bNgQT09PvvnmmxynFQgPDwcyvjV36tSJP//8k/v37+sev3btGnv37s3yHAsLC2xtbbOMooKMFtunKZVKXn31VTZv3szly5efe+y8aNCgAe7u7syfPz9bcvbsN/y6detSt25dVq9ezebNm+nXr1+BJ0UsjPO7IDJbN55+rSdPnuT48eOFdozc8vPzY/bs2SxevPiFl4S7dOnCqVOnssSYkJDAypUrcXNz07VUd+nShUePHmWZSiQxMTHbJdncntOFrVGjRtjY2LBq1aosX7DXr1+f70v3pYloOSoD3n//fXbv3o2vry9jx47FxsaGHTt2sHv3bt555x0qVqwIZPR3GDVqFH5+fowdOxaAxYsXc+DAAYYOHcqRI0dQKBR07Ngx2zEy3wRbt279wj4gz9OzZ0969uyZ/xf5FG9vb7y9vV+634ABAzh9+jQLFizg6tWruo6E586d44cffsDGxobff/8dtVqdq+Pu3r2b69evk56eTmhoKPv372ffvn1UrlyZbdu2ZZnxe+7cuXTu3JlmzZrx9ttvk5SUxKJFi7C0tMzWJO/r68ucOXMICgrKkgS1atWKFStW4Obmlu2SaUlgbGzMjh07aNu2LZ07d+aff/7R++zVCoWC1atX07lzZ2rVqsWwYcNwdnbm4cOHHDhwAAsLC7Zv3w5kzIO1Z88efH19GT16NOnp6SxatIhatWpluxz7zjvv8OWXX/LOO+/QqFEjDh06lO3LCGQMjz5w4ABNmjRh+PDh1KxZk6ioKM6dO8fff/9NVFRUnl/PsmXL6N69O/Xq1WPYsGE4OTlx/fp1rly5ki2RGzx4MFOmTAHI8yW1ojq/C6Jbt25s2bKF3r1707VrV+7du8fy5cupWbNmsc2plUmhUORqWpMPP/yQX375hc6dO/Pee+9hbW3N2rVruXfvHps3b9Z1YRg+fDiLFy9m8ODBnD17FicnJ37++WdMTEyyHTe353RhMjAwYMaMGYwbN462bdvSt29fAgICWLNmDZ6ens+93FxWiOSoDGjVqhXHjh1jxowZLF26lMjISNzd3ZkzZ06WOTNGjRpFSkqKbtI4ABsbG1auXEnPnj355ptvcpxjozSbP38+fn5+LFmyhM8//5zExERcXV0ZM2YMH3744XMvy+Vk2rRpQMabhrW1NXXq1GH+/PkMGzYs22W79u3bs2fPHqZPn860adNQq9W0bt2ar776KtvlyubNm6NUKjExMcmS9Pn6+rJixYoS12r0NAsLC/bu3UurVq3o0KEDhw8fLlDflMLQpk0bjh8/rvuWHx8fj6OjI02aNGHkyJG6/erWrcvevXuZNGkS06ZNw8XFhZkzZxIcHJwtOZo2bRrh4eH8/vvv/Prrr3Tu3Jndu3dn68zv4ODAqVOnmDVrFlu2bGHp0qXY2NhQq1atfF9S7tSpEwcOHGDmzJnMmzcPrVaLp6cnw4cPz7bvgAEDmDp1Kp6envj4+OTpOEV1fhfE0KFDCQkJYcWKFezdu5eaNWuybt06fvvtt3wtzFocHBwcOHbsGFOnTmXRokUkJydTt25dtm/fTteuXXX7mZiY4O/vz7hx41i0aBEmJiYMGDCAzp0788orr2QpM7fndGEbO3Yssiwzb948pkyZgre3N9u2beO9997L0/JPpZEki95XgiAIOjNmzGDmzJmlsmNqREQETk5OTJs27aWXnQUhP7RaLXZ2dvTp04dVq1bpO5wiI/ocCYIglBFr1qxBo9EUSt8+QUhOTs72JeGnn34iKiqqzC8fIi6rCYIglHL79+/n6tWrzJkzh169epWLeWiEonfixAkmTpzI66+/jo2NDefOneP777+ndu3avP766/oOr0iJ5EgQBKGUmzVrlm5ts0WLFuk7HKGMcHNzw9XVlYULFxIVFYW1tTWDBw/myy+/zDK7dlkk+hwJgiAIgiA8RfQ5EgRBEARBeIpIjgRBEARBEJ5SLvoc7dixg8mTJ+sWYs3LSvNarZZHjx5hbm5e5ie9EgRBEISyQpZl4uLiqFixYp4XUS/zfY7S09OpWbMmBw4cwNLSkoYNG3Ls2LEsq9S/yIMHD3B1dS3iKAVBEARBKApBQUF5XmWgzLccnTp1ilq1auHs7AxA586d+euvv3jzzTdz9fzMmWGDgoKwsLAotLjS0tL466+/6NixY66XrxAKTtS7foh61w9R7/oh6l0/nq332NhYXF1dc1x4/GVKfHJ06NAh5s6dy9mzZwkODuaPP/6gV69eWfZZsmQJc+fOJSQkBG9vbxYtWqSbOv/Ro0e6xAjQrUmTW5mX0iwsLAo9OTIxMcHCwkL88xQjUe/6IepdP0S964eod/14Xr3np0tMiU+OEhIS8Pb25q233qJPnz7ZHt+0aROTJk1i+fLlNGnShPnz59OpUydu3LiRbd2jkuTOH8eQrwRzM+4wSuVT10Kz/BGlHH/NuvnpO8/5PYvnlfmc7TmWn/O+WZ+W11ieU2bmdgkUSiUKlYRCpUSpUqBQK1GqlCjUShRKJUq1AoWBKmPbUz8VSglJpYI8XnMWBEEQyqcSnxx17tyZzp07P/fxb7/9luHDhzNs2DAAli9fzs6dO/nhhx/48MMPqVixYpaWoocPH75wQcaUlBRSUlJ092NjY4GMjDQtLa2gL0fn8N4YUtVVeRgKoC20coWcSdp0JFmDQtYgyRJrtu548rsWSdaiQJvxODIS/21ToEVCRiFl/JTQokBGIclI0pOfyCgUcsZzJVBIZNyXQFJk3geFJKNQgKSQMu4rJCQFKBUSkjJj9W2FEhTKJz8VEgqllHFfJaFUKJBUCiSFAkmpAIUy208UEgojI4waNERlm7t+dcUh83+nMP+HhJcT9a4fot7149l6L0j9l6oO2ZIkZbmslpqaiomJCb///nuWS21DhgwhOjqarVu3kp6eTo0aNTh48GCuOmRnLjr5rA0bNmBiYlJor+Xx5ii0kgES8pPXlssnPvXXyvkphfDnzFMR+TxePp4mSwpkSYksKdCifOq+ElmhRPvkPlLZbiGSZA2SVpPxU9agkLW6+wpZg0KTikliKEaqOBROxsjVHNE4W+fhJBMEQSj9EhMT6d+/PzExMXnuFlPiW45eJCIiAo1Gg4ODQ5btDg4OXL9+HQCVSsW8efPw8/NDq9XywQcfvHCk2kcffcSkSZN09zM7dHXs2LFQ+xw1/fcgkQmpWbYpFRI2pgbYmhlgZ2aInbkhdmYG2D75mXHfEDtzA0wMSvWfrkjIsgxaLdp0DZo0Ddq0dLRpGt1Nk6YhNTmF0ydPU9+7PpIsoU3XoE3XotVoM56j0Wbcz7xp5SePyxn7aGRkjfzkvoxWq0WryZjyQdaCRisja8h4njbzp4QsZ/zUamW0soSsBa0MWllCK4MsSxnbn/zUyvCkLSr765SUyErlC+si3vzJCMtU4BIYno/DykyDXRVb7Ou7Y1vZAktbYyRF8SRMaWlp7Nu3jw4dOog+GMVI1Hvxk2WZ5ORkDh8+TPPmzVGpxHt1UZAkCaVSiVKp1HW/ePZ8z7zykx/l4q/Wo0cPevTokat9DQ0NMTQ0zLZdrVYX2puLLMv4VbPj8p0gMLIgIiGVyIRUNFqZsLgUwuJSgLgXlmFqoMTO3BB7c6OMpOmZm/2TnzamhiiL6QOwNEhLS0MRdBXnxl6l4sNC1soZCdWT5CwzKdM89fuzj6UmpRN2I4TQf+8TGZZKAmakqMwJTYbQS+lw6RYAKqWMjYs5dpUtsXExw9bVDBtnM9QGL068CqIw/4+E3BP1XjxSU1MJDg4mISEBR0dHgoODxfx4RczExAQnJ6csa71lnu8FOedLdXJka2uLUqkkNDQ0y/bQ0FAcHR31FNXLSZLEF71rsWtXIF26NEetVpOu0RKZkEp4XArhcSmExSXrfg+PTyEs9r+fSWkaElI1JEQmEhCZ+MJjKSSwMTP8ryXqqcTp2eTKzLBUnw5lkqSQUCoklCqA3CctbnVt4fXaACRHxvLwrxOEnLxJ+IM44gzsiTd1Jh0DQgPjCQ2M/+94Elg5mGDrYoatq7nup4lF2V5kUhAKSqvVcu/ePZRKJRUrViQ1NRUzM7M8Tz4o5I4sy6SmphIeHs69e/eoUqVKoZZfqj8NDQwMaNiwIf7+/ro+R1qtFn9/f8aOHVuoxyrsDtk5dRizNlZibWxCNfsX922KT0knIj6F8LhUXfIUEZ9KWFzKf9vjU4hMSEUro0uyCH5xTCYGyuyX9HRJ1X/brU3UqJSl8x++PHaUVFoYU+k1Pyq95oecnk7yhQvEHzhI2NF/iY5TEmfmQvyTW6qBBY9DEnkcksitM2G6Mowt1Ng6m2HjYorNk58WdsYoctkqWR7rvSQQ9V58UlJS0Gg0ODs7Y2xsTFxcHIaGhqLlqAgZGhqiVCq5f/8+iYmJukS0XHTIjo+P5/bt2wDUr1+fb7/9Fj8/P6ytralUqRKbNm1iyJAhrFixAh8fH+bPn8+vv/7K9evXs/VFyoslS5awZMkSNBoNN2/eLPQO2cVBI0NCGsSmQWyq9OQnxKVJWbbFpUKKNvf/wBIypmqwVIO5WsbCACzUYG4gY6EGi8yfajBUin7AJZYsow4Px+zqVcyuXsPo/n1S1ebEmzoTb+ZCrLU7sVZupEgW5NT9X1LKqM20qC00qC20qM01qM21KEr1Vy5ByB+VSoWjoyOurq5ZLvEIRSs1NZWgoCBCQkJIT0/P8lhBOmSX+OTo4MGD+Pn5Zds+ZMgQ1qxZA8DixYt1k0DWq1ePhQsX0qRJk0I5fmxsLJaWlkRERBT6JJAlqaNkQko6EfEZLU4ZrVGpRDz5+XTrVER8Cto8nDHGaoWu9cnWzAB7c8OM+091MLc1N8DW1KBYWqNKWr2XJOmRkSQeOkzCgQMkHj+OnJwMgEZhQKKdJyl1fEl0qkEMVjwOTSY9NYcpKCSwtDPGxsX0v5YmFzPUxpKodz0Q53vxSU5OJigoCDc3NwwNDYmLixNrchaD5ORkAgICcHV1RalUZuuQbWtrWzZHq7Vp04aX5W9jx44t9MtozyqqDo0lpaOklVqNlZkxXi/ZT6OViXrSN0rXL+qpPlG6flJxKcSnpJOUpiXocRJBj5NeWK4kgbWJQQ4dyzP6RDlbGVPH2RIDVeEkUCWl3ksStaMjxn1fx6bv62iTk0k4fpz4/QeIO3AAZeg1zEOvZeyoVGLcqDE070CSWz2ikwyJCIon4kEciTGpxIQlEROWxN1zEbqyjc3VaA2NOZf2APvKFti6mGPlYJLry3JCwYjzvehpNBokSUKhUOgSosz7QtHJrG+1Wo3yySject8hWyh+SoWkS1xq8uJMPDE1PUuyFJbl92RdMhURnzFSL/LJqL3rITmP1DNWK2nkVoEWXrY097ShVkVLMRKviCiMjDD388Pczw9HrZbkS5eI23+A+P37Sbl1i6STJ+DkCQAcqlTBs21bzAe0RVupKpGPEp4kS/FEBMURHZpIUlwaxKm4+PcD3TFUagXWzhmj5OyedPy2rmiKgZF4WxIEQb/Eu5BQZEwMVFS2UVHZxvSF+2m1MlGJqc9PouJSuBMeT0R8KodvRXD4VkaLhKWxmqYe1jT3tKWFlw2edmaiCbsISAoFxt7eGHt7Yz9xAqn37xN/4ABx+w+QeOYMKbdukXLrFpErVqC0s8W8jR9V2vpRb0AzFEZGpKVqCAuM4eCeE1S0difqYSIRD+NJT9EQFhBLWMBTc5FIYGVvgs2TpMnWxQw7V3NMLA3E31YQilBISAhz5sxh586dPHz4EHt7e+rVq8eECRNo164dbm5uBAYGAmBkZISDgwM+Pj68++67tG3bVldOQEAA7u7unD9/nnr16uUphpEjR7J69Wo2btzI66+/XpgvL89EciTonUIhYWuW0RephlPO+8iyzM3QeI7dieDo7UhO3o0kJimNvVdC2XslYyoHe3NDmnva0NzTluZeNrhUKF0d6EsLg0qVsB4yBOshQ9DExBB/6BBx+/eTcOgwmvAIon/7jejffkMyNsa0RXPM/dpi3aI5ZpXSaNklY34pWSsTE56ka13K/JkQk0p0aCLRoYncOffUaDlzdca0Ai7mT5Imc6wcjFGU0lGTglCSBAQE0KJFC6ysrJg7dy516tQhLS2NvXv3MmbMGN2kyrNmzWL48OGkpqYSEBDAunXraN++PbNnz+bjjz8uUAyJiYls3LiRDz74gB9++EEkR6VFcQzlF17Mw8YIDxsXBvq4kK7RciU4juN3Ijl+L4qzgdGExaXw54VH/HnhEQCuFYxp7mlNU3drmnlYY2NmKOq9sJmYYPLKK5i88gpyWhpJp0+TcOAgCQcPkh4SQvzf/sT/7Q+ShGvlSkQ8fIRFu3ao3d0wtVZjal2BynUr6IpLiksl8mECkQ8SiHwYT+SDBN1luaBrjwm69li3r1KtwNrJBBsXM2ycTbFxMRWX5Z4hzvfik5aW9mQmfK2un6xWqyUxNf0lzyx8xmplnlpaR40ahSRJnDhxAlPT/1r6a9SowdChQ9FqMwZfmJmZ6RZ0d3FxoWXLljg6OjJt2jT69OlDtWrVdPtqtVrd77mxadMmatasyQcffICLiwuBgYG4urq+9HmZ9Z2WlqY7XrkYyq8vZWEof3mSpoWAOImbMRm3+/GgfWb4uZOxTFXLjJunhYyx+AwtOrKMYXAwpleuYnbtGkZPLf4MkGprS3yNGiTUqklSpUrwguVQZA2kxStIi1WSGqsgLS7jd1mT85u/yuTJ9ALmGT8NLLQoDGUxpYRQpHIayp+UqqHZtyeKPZbjk5pinMuZ7h8/foynpyeffPJJlqWznlW3bl1GjRrFqFGjcnz+9OnTGT9+PPfv38fb25tDhw5Rp06dXMfcpUsXevfuzfDhwxkyZAi1a9fm/ffff+nzimoov/h4eI4xY8YwZswY3VD+wl5bTQyxLVrxKemcDnjMibtRHLsbxfWQOIKTJIKTJP4JyZg5vI6zJc08MlqVGlSywkhddMtmlHdJQUGcW7mKyqGhJJ8+jUFEBNaHD2N9+DAKKytMW/li6ueHSfPmKHLxJUTWysRGJhP5ID5LS1NCdCrpiQrSExUkhfy3v5GZSjd5pY1zRkuTlYMJCmXZzpjE+0zxyRzKb2ZmphvKb2ZuppdYzC3Mc73+5vXr15FlGW9v7xd+xikUCoyMjLLtY2Fhgb29PSEhIVhYWGBmlvGaTU1Nc/2ZeevWLc6cOcOff/6JhYUFQ4YMYcqUKcyaNeulLWDJyckYGxvTqlWrHIfy55dIjnKprA/lL2sqqNV0rG1Mx9oVAYhKSOX4nUiO3Arj70tBhCdLXHwQw8UHMSw/dA8DlYKGlSrQwsuGZp62eLtYltpZwEskV1dimjXFpUsXFCkpJBw5SvyB/cQf/AdNdDRx27YTt207klqNSbOmmLdti5mfH+oXTORqW9EA24pZ33yT4lOf9F/KmFogIiiexyGJJMen8/BGNA9vROv2VaoU2DibUr2ZEzV9K6Isw39v8T5T9HIaym9ioOLqrE7FHkteLqtl7qdQKF467cDzpiaQZVn3/MzHcypv/fr1jBw5Und/9+7d+Pr6smbNGjp16qS7ZNetWzeGDx/OwYMHadeu3QtjEkP5BaEArE0N6FrXiY41bGmqCqB+i7acCozh2O0Ijt6JIDQ2heN3Izl+NxK4iZmhCh93a10H7+qO5mJOnkKiNDPD4pVOWLzSCTk9ncRz5zLmU9q/n7T790k4dJiEQ4dhxkyMatfGrK0f5m3bYlit2kvf8I3NDHCtbo1rdWvdtvQ0DVGPErImTQ/iSUvWEBYYR1hgHBf9g2jayxPPBnZiVJxQaCRJwqQIF3IuDFWqVEGSJF2n67yKjIwkPDwcd3f3l+7bo0ePLBM0Ozs7o9FoWLt2LSEhIahU/6UkGo2GH3744aXJUVERyZFQLjlZGvFaQ3Nea+iCLMvcjUjg2J1Ijt2O4PjdSKIT09h/PYz91zNGTFmbGtDMw4bmXhnJkpuNifgQLQSSSoWpjw+mPj7YT/2A1Dt3dPMpJV28SPLlyyRfvkzEwkWoK1bErG1bzNv6YdKoEVIul2hQqZXYV7bAvvJ/rUwZl+WSCLwcyZldAcSEJ7F31WXsK5vTrI8XLtUqvKBEQSg7rK2t6dSpE0uWLOG9997L0iEbIDo6Gisrq+c+f8GCBSgUCt36pi9ibm6Oubl5lm3bt28nLi6O8+fP61p+AC5fvsywYcNeevyiIpIjodyTJAlPOzM87cwY1LQyWq3M1eBYjt+J5OidCE7diyIqIZWdl4LZeSlj9d6KlkY0ezK/UnNPWxwtjfT8Kko/SZIw9PLC0MsL2xHDSY+IIP7gQeL2HyDh2DHSHj3i8bp1PF63DoW5OWa+vpi1bYtZK1+UeV03SSFhaWdCXT8Tqjdz4sLfQVzYd5+wwDi2fneeSrWsadbbE1sX85cXJgil3JIlS2jRogU+Pj7MmjWLunXrkp6ezr59+1i2bBnXrmXMjh8XF0dISAhpaWncu3ePdevWsXr1ar744gu8vLKur3Djxo1sx6lVq1a2S13ff/89Xbt2xdvbO8v2mjVrMnHiRNavX8+YMWMK+RW/nEiOckkM5S8bclvv1exNqGZvwtBmrqRptPz7IIZjd6M4cTeK80HRPIpJZvO5B2w+lzHjs4etCc08bGjqkTF1gJWJ6N/xtHyd75aWmPbsiWnPnmiTkkg6eZKEAwdIOPgPmqgoYnftInbXLlCpMG7YEFO/Npi2bo3axSVPsUlKqN/JhWrN7Dm/9z5Xj4Rw/0oU969G4dXInsZdK2NuUzqTX/E+U3xyGsqfeb+kc3Nz48yZM3z++edMnjyZ4OBg7OzsaNCgAUuWLNG9hmnTpjFt2jQMDAxwdHSkSZMm7Nu3Dz8/vyxD+AH69euX7TiBgYG4PPX/GRoays6dO1m3bl2O9dSrVy++//77bCPkniaG8hczMZRfeJ5UDdx9Mm3ArRiJoASQn5o2QELG2RSqWmRMG+BhIWNYsrsdlC5aLUZBDzC7ehXTq1cxDAvL8nCKoyPxNWsQX7MmKc7OkMe1rdITJGJuGZIU/CTBlWTMKqdh7pmK0kC8XQo5y2kov1D0imoov0iOXiJzKH9ERIQYyl8GFEW9xySlcereY47fi+L4nUhuhydkeVylkKjnapkxGaWnNd4uVhgW0gK6pUVRnu+p9++TePAfEg4eJOncOdBodI8p7ewwbd0aU782GDdpgsLQMNflht+P49TWAB7ejAZAbaTEu70Lddo4oy4l2a54nyk+mUP53dzcdEP5zc3NRd/EIpacnExAQACurq45DuW3tbUV8xwVpcIeChuXGodG1oghtnpSmPVuq1bTxduELt7OAITFJXP8TiTHbmf0WXrwOIkzgdGcCYxm8cG7GKkVNHb7b0248rSAblGc72pPT0w9PbF7+y3SHz8m4fDhjH5Khw6hCQ8n9vffif39dyRjY8xatsDMry1mbVqjsrZ+YbkVPa3pNcmaoKtRHPvjNhFB8ZzZEcjVQ8E07uZOzRZOpWb5EvE+U/RyGsr/vKHvQuERQ/nLmBknZnA9/jqVIyrT0KmhvsMRCpG9uRE96znTs15GshQUlcjR2xEZo+HuRBIRn5JlAV0LIxVNPWxo7mlDCy9bvOzFArr5papQAcsePbDs0QNtaiqJJ08Rf2A/cfsPkB4SQty+v4nb9zcoFBjXr495Wz+sXnsNpaXlc8t0rWlN3+qNuXU2lJNb7xIbkcw/G248Gf7vgUc9MfxfEMoakRzpQWhCKGfDzhKriWXYX8N4teqrTGgwAUvD579BC6WXq7UJ/Xwq0c+nUo4L6MYmp/PX1VD+upqxgK7dkwV0W3ja0szTBldr0dctPxQGBpj5tsTMtyUOn35K8tWrGfMpHdhPytVrJJ09S9LZszze9Cuuy5dj6PH8eVokhUTVxo541rfnyuGHnN4ZQHRoIntWXMbB3YJmvT1xriqG/wtCWSGSIz1wMHXgj25/MGX7FM6nnef3m7+z//5+JjeaTHeP7uJbaBkmSRLVHM2p5mjOsBbupGu0XH4Uy7E7ERy7HcnpgCjC41LYeuERW58soFvJ2iRjMkovW5p52GBnnvt+M0IGSZIwrlUL41q1sBs3lrRHj4g7eJCo738g7f59Avr1w2XBfEybNXthOUqVgrp+rlRv6sT5v+9z4e8gQu/F8ue356lcx4ZmvTyxcdbPkhGCIBQekRzpSQWjCrxq+iqjG43my9NfcifmDh8f+Zg/b//JJ00+wcPKQ98hCsVApVRQz9WKeq5WjG7jRUq6hnOB0Ry/E8HRO5FcCIrmflQi96MS2Xg6CIBqDua6ySibeFhjYST6kuSVumJFrPv3x6JTJx6MHUfS+fPcHz4Cx2mfUqFv35c+38BYRZPuHtRu5cyZnQFcOfKIwEuRBF6OpHoTR3x6eGBuXTqH/wuCIJKjXCuqeY7qVqjLhlc2sP7GelZeWsnpkNO8uv1VBlUfxDu138FYZVxoxxRK/rwvCqBRJQsaVbJgnJ8H8SnpnAl8zPE7URy/G8W1kDhuhGbcfjwagEKC2s4WNH8yx1LDErqAbomtdwsLnFatJGzadOJ37SJk2nSS79zBZuJEJOXL69HAREHz1z2o2dqRMzsCuXs+gusnQrh1JpRarSpSr6MrRqb6S15LbL2XQaV5nqPSTMxzVMz0Mc/RY+1jdibu5Hp6xho3Vgoruhl3o7q6epEeVyg94tPgdmzGHEs3YyTCk7NeglVKMh7mMr6OMnWsZcrJILiCk2Ws/f2x3fc3APE1axDcrx9yHob+A6RGK4i5YUhKVMb3TkklY+6RiplbKoqSl7MKhUjMc6QfYp4jPdHHPEcHHxzk6zNfE5IYAoCfix9TGk7BydSp0I5fXpW1eV+CY5I5fjeSE3ejOHY3itDYFN1j1RzMGNPGg041HfS+aG5pqfe43bsJ++RT5NRUDKpXp+KihagcHfNUhizLPLj2mJNbA4h6lDHnlYmlAY26VKZqEwcUyuL7W5SWei8LxDxH+iHmOdKzoponJKdyO7h3oIVLC5b/u5yfr/zMgQcHOBFygtHeoxlQcwBqhXiTK6iyMu9LJVs1lWzNecPHDVmWuReRwB/nH/Lj0QBuhMbz3qZ/qeZgzrh2XnSp7aT3JKmk17t1jx4YV6pE0JixpF6/zoP+A3BZuhTjOrXzVI6HtwPudey5eTpj+H9cVDKHfrnFpQMPadrLE3dv22L90Czp9V4WiHmO9KOo5jkSf7USykRtwqSGk/i1+680sG9AUnoS887Oo+/2vpwPO6/v8IQSSJIkPOzMmNyxGkentuW9dlUwN1RxIzSOsRvO02n+IbZdfIRGKxqLX8S4Xj3cNm3CsEoV0sPDCRw0iNi//spzOZJColoTRwbMbErL16tgZKrmcUgiu5dfYsvcczy6HV34wQtCPoWEhDBu3Dg8PDwwNDTE1dWV7t274+/vD2SsvyZJUsbIT2Nj3Nzc6Nu3L/v3789STkBAAJIkceHChVwd9+DBg7pyM8uuVasWK1euLOyXmCciOSrhqlSowo+v/Mis5rOwMrTidvRtBu8ezPRj04lOjtZ3eEIJZWmiZlKHqhyZ2pbx7apgbqTiVlg87/2SkSRtvfBQJEkvYODiTOVfNmDq64ucnMzD98YTsXIV+emFoFQr8G7nysDPmtGwc2VUagUhd2P445tz7Fz6L5GP4ovgFQhC7gUEBNCwYUP279/P3LlzuXTpEnv27MHPz48xY8bo9ps1axbBwcHcuHGDn376CSsrK9q3b8+cOXMKHMONGzcIDg7m6tWrjBw5klGjRukSM30Ql9VKAYWkoHeV3vi5+jH/3Hw239rMlltb2H9/P5MaTqKnV08UkshzhewsTdRM7FCVt1q6s+ZoAN8fucvtsHjGb7zAAv9bjGvrRfe6FVGVkmUwipPSzAzXZUsJ/fIrHq9bR/i335IaEIDTjOlI+ehwa2isomlPT+q0duHUzntcOxpMwL8RBF6KoHozJ3y6u2NWQQz/L1NkGVITXr5fYVObQB4u244ePRpJkjh16hSmpqa67bVq1eKtt97S3Tc3N8fxSR+8SpUq0apVK5ycnJg2bRqvvfYa1apVy3fI9vb2WFlZAfDee++xcOFCzp07R7t27fJdZkGI5KgUsTKyYkbzGfT06snsE7O59fgW045N44/bf/BJ00+oWqGqvkMUSihLYzXj21dhWEs31h4NYPWRe9wNT2Diposs9L/NWD8vetYTSdKzJJUKx08+xsDdjdA5nxOzZQtp9+/jvGghqgr5mxHb1MoQvwHVqdfOlRNb73L3fDjXjgVz83Qodf1caNCpsl6H/wuFKC0RvnQp/uP+7xEYmL58PyAqKoo9e/YwZ86cLIlRpsyE5XnGjx/P7Nmz2bp1Kx988EF+os1ClmX27t3L/fv3adKkSYHLyy/xTlgK1bevz6Zum5jSaArGKmPOh52n7/a+fHvmWxLTEvUdnlCCWRipGdeuCkem+vF+p2pYmai5F5HA5N8u0v7bf/jtTBDpGjEvy7OsBwzAdcVyFKamJJ45Q0C/fqTcu1egMis4mtJ5ZB1e/aAhTl6WaNK0nP/rPus+Pc65vwJJT9UUUvSC8Hy3b99GlmWqV8/flDHW1tbY29sTEBBQoDhcXFwwMzPDwMCArl27Mn36dFq1alWgMgtCtBzlUlFNAlmQMvtX7U9b57bMPTuXAw8O8OOVH9l9bzfvN3yfNi5txBDSHIhJ8TIYKWFEy8r0b+zM+pNBfH80gIDIRN7//V8W+t9iVGsPetVzQl1ILUllod4NmzbF+eefCB43jrTA+wS80Q/H777FxMenQOXauJrQ7b06BF15zMlt93gcnMjxLXf4d38QjbpWpopP/qdiKAv1XlrkOAmkyhjthw+KPxilEeRy8kmNJiMJ12q1L52w8nmTWma+3qfLyKm89evXM2rUKN39nTt36vb5559/MDc3JyUlhVOnTvHee+9hZWWVZf+ciEkgi5k+JoEsiBtpN9ietJ1obTQA1VTV6GbcjQpKsRim8HIpGjgSIuH/SEFCesYHsY2hTAdnLT52MuJq23+U8fFUXPsTxvfvIysUhPbuTaxP40IpW5Yh8aGK2FuGaJIzKl1lpsGyagpG9pq8dCMRillpnQTy8ePHeHp68sknnzBp0qTn7le3bl1GjRqVLVmJiorCy8uLmTNnMm7cOO7fv4+3tzeHDh2iTp06WfaNi4sjPDxcd9/JyYmzZ8/SvXt3AgICsLT8b/H1iRMn8tdff3HlypUXxl9Uk0CKlqPnGDNmDGPGjNFNAtmxY8dimwQyP7rQhXfT3+X7K9/z07WfuJF+g8DEQIbXHs7A6gNRK0UfBhCT4r1IbyAxNZ0Npx6w+kgAkQmpbLyr5EiUEe+29qB3vYoYqPKXJZW1etf27EnYp9OI370bx82bqW5hjs348blaciQ30tO0XD30iPN/BZESD5HnTHD0sMCnpzuOHrl/Hypr9V6SZU4CaWZmVqomgbSwsKBjx4788MMPvP/++9n6HUVHR2NlZYVCocDIyCjb5+C8efNQKBS88cYbWFhYYGaWsfCyqalptn0tLCxwdnbOsi2z0cHc3DzL/sbGxiQnJ7/0czc5ORljY2NatWqV4ySQ+SWSo1wqzkkgC1LWxEYT6enVk89OfsbpkNMsuriIXQG7+LjpxzR2LJxvt2WBmBQvZ5ZqNaP8qjC0hQfrTway/J+7PIhO5pOtV1n2zz1G+3nyekPXfCdJZabe1Wpcvp1HhKcnEYsXE/3jGtLvB+E892sUhdDCrFZDw1fcqd3KhXN773NxfxAhd2PZ9t1F3L1tadbbkwqOuetwm1FeGan3Eqw0TwK5dOlSWrRoQdOmTZk1axZ169YlPT2dffv2sWzZMq5duwZAfHw8YWFhpKWlce/ePdatW8fq1av54osvqFo1Y0BQ5uu9detWttdeq1atbOdh5j4RERGkpqbqLqutW7eO11577aX1V1STQIrkqAzysPLg+47fs+PuDr458w13Yu7w1t636OHZg0kNJ2FjbKPvEIUSzthAyTu+HgxoUpkNp+6z/J87PIxO4uM/LrNk/21G+XnRt5ELhqryu2CYJEnYjR2DgZsbwf/7H/H+/gQMHIjrsmWoHRwK5RiGJmqa9fakThtnTu24x/Vjwdy7GEHAvxHUaFGRxl3dMauQt/XfBOFZHh4enDt3jjlz5jB58mSCg4Oxs7OjYcOGLFu2TLfftGnTmDZtGgYGBjg6OtK0aVP8/f3x8/PLVma/fv2ybQsKCsLFJefRe5nTAKhUKlxdXRk5ciQzZswonBeYD6LP0UtkXlbLzzXLF0lLS2PXrl106dKlSL/RxaTEsPDcQn67+RsyMhYGFkxoOIFXq7xaLudGKq56L2uS0zT8cuo+yw7eISwuY/02J0sjRrXxpG8jV4zUL06Synq9J547z4OxY9FERaGyt89YcqR2rUI/TtSjBE5svcO9ixEAqNQK6rZzpUHHShiaZK/Xsl7vJUlycjL37t3D3d0dAwMDYmNjsbCwKBUtR6XZ0/WuVCqznO8F+fwWf7UyztLQkk+bfcq6Luuobl2d2NRYZh2fxaDdg7gedV3f4QmlhJFaybAW7hz6wI+ZPWrhaGFEcEwy07ZeofXcA6w5eo/ktPI79NykQX3cfv0VwypepIeFZSw5sm9foR/HuqIpXUbVpc+UBjh5WpKepuXcnkB+/vQ4F/6+T3o5/hsIQmESyVE5UdeuLr90/YWpjadiqjbl3/B/eWPHG3x16isS0vQwg6tQKhmplQxp7sbB99swu2ctnCyNCI1NYcb2q7T6+gA/HCm/SZKBizOVNzxZciQpiYfvjSdy9ep8LTnyMk5eVvSe0oAuo+pQwdGElIR0jv5+m/XTT3D9RDBasTSMIBSISI7KEZVCxcCaA9nacyud3DqhlbWsu7aOHn/24K+Av4rkTVwom4zUSgY1y0iSPutVm4qWRoTFpTBrx1V8vz7A6sN3SSqHkxgqzc1xXbaUCgMGgCwT9s08gj/5BDk1tdCPJUkS7t529PvUB79B1TG1MiQ+KgX/Ndf4dc4pAi5FiP9pQcgnkRyVQw6mDnzT+huWt1+Oq7krYYlhTP5nMqP8RxEUG6Tv8IRSxFClZGDTyhx4vw1zetfG2cqY8LgUPtt5Dd+vD7Dq0F0SU9NfXlAZIqlUOH76CQ4ffwwKBTGbt3D/neFooqOL5HgKpYKaLSoycFZTmvX2xNBEReTDBHYu+Zcdiy6RGi3e5gUhr8R/TTnWwrkFW3ps4V3vd1Er1Bx9eJTe23qz4uIKUjWF/01XKLsMVUoGNKnMgSlt+KJPHVwqGBMRn8KcXddo9fUBVh25R0o5a0iyHjQQ1+XLMpYcOXWKgDcKvuTIi6gMlDToVJmBs5tRv0MllCoFwbdiCDtuyr7vrxEdKpYWEoTcEslROWekMmJMvTFs6bGFJk5NSNGksPjCYl7d9iong0/qOzyhlDFQKXjTpxIHprThq1fr4GptTER8Kl/vvcXMc0pWHLpHQkr5aUkya9WKyr9sQF2xIqmBgQT0e5OEk6eK9JhGpmqav+rFgFlNqdrEAZC5dyGCDTNPcnDDDRJiUor0+IJQFoh5jnKpJK6tVpicTZxZ2mYpewP38u25bwmIDeCdv96hc+XOTGwwEVtjW32HWChKWr2XZX3qOdG9jgNbLwaz9OBdgh4n8c2+W3x/NIC3mldmYNNKmBmW/bcgpbs7zuvXEzx+PCn//sv9t9/GftqnWPTuXaTHNTJX0uINd2LUdzF47ELQlcdcOfSQGyeCqePnjHc7FwyMy379F5cc11Z7zlpkQuERa6sVs9K2tlphSpaT+Tvpb06mnkRGxggj2hu3x8fAp1zOjSQUnEaGs+ESex8qiEjOmD3YRCXj56SllaOMUTn4jJbS0nD47XcsLl4EIKp1ayJe6QTFNA9OSpSSmBuGpEZnzEmlUGsx90rFzDUNqfzO5VloSuvaaqVdUa2tJpKjl8icRCoiIqJEr61WFK5GXmXO6Tlci8qYOr6mdU3+5/M/alrX1HNk+Vca6r0syqx3v3bt2HstkqUH73IvMqMPjKWximHN3Rjc1BVzo7L9N5FlmailS3m8fAUApu3a4fD5nEJZciQnz57vsiwT8G8kp7YFEBOWBIC5tSGNurnh1dAOSVGy1wEryTLXVnNzcytVa6uVdsnJyQQEBODq6prj2mq2trZi4dmiVBrWVits3o7e/NL1F369+SsLzy3katRVBu8dTL9q/RhbfyzmBub6DjHfSnK9l2XGhoa83rgyfRpWYvvFRyzcf4u74QnM97/ND0cDeLulB0NbuGFpXHb/No4TJmDs6Unw/z4mwd+fR8OCcVm2tNCWHMnJ0+d71UZOeNV34NqxYE7tuEdcVAoHfrrBpQMPadbLE9ea1uIDPR9K89pqpVlRra0m/mrCCykVSt6s/ibbe2+ni3sXtLKWDdc30OPPHuy+t1vMoyLki1Ih0au+M/smtmZBv3p42ZsRm5zOd3/fpOVX+/lu301ikspuvzDL7t2ptHYtSmtrkq9eJeD1viRduVJsx1coFdTydWbg7GY07eWBgZGSiKB4ti+6yNb5FwgLzP9q5kLpFBISwrhx4/Dw8MDQ0BBXV1e6d++Ov78/AG5ubkiShCRJGBsb4+bmRt++fdm/f3+WcgICApAkiQsXLuTp+Ldv32bYsGG4uLhgaGiIu7s7b775JmfOnCmsl5gnIjkScsXW2JavWn3Fyg4rcbNwIyIpgg8OfcCIfSMIjA3Ud3hCKaVUSPSs58zeCa1Y9GZ9qtibEZeczgL/W7T8cj/f/nWD6MSyOa1ExpIjmzDw8sxYcmTgIOKefBAVF7WBkoavuDHos+Z4t3dFoZJ4eOMxv31xhr2rLhMdJob/lwcBAQE0bNiQ/fv3M3fuXC5dusSePXvw8/NjzJgxuv1mzZpFcHAwN27c4KeffsLKyor27dszZ86cAh3/zJkzNGzYkJs3b7JixQquXr3KH3/8QfXq1Zk8eXJBX16+iMtqQp40q9iMzT0288PlH1j17ypOBJ+g99bevF3nbd6p8w6GSrFCuJB3SoVEd++KdK3jxO7LISz0v8WN0DgW7s+43Da0uRtvt3SngmnZ6uhq4OKC2y+/8HDCRBKOHuXB2HHYT5mC9VvDivXSlpGZmpavVaGunwuntt/jxskQbp8N4+75cGr5VqRRV3dMLMpW3RcHWZZJTCv+BNNYZZyn82f06NFIksSpU6cwNTXVba9VqxZvvfWW7r65uTmOjo4AVKpUiVatWuHk5MS0adN47bXXqFatWp5jlWWZoUOHUqVKFQ4fPpzlMmS9evUYP358nsssDCI5EvLMQGnAu97v0tW9K3NOzeHow6Msv7icXXd38XGTj2nu3FzfIQqllEIh0bWuE51rO7L3SggL/G9xPSSOxQdu8+PRewxp7sY7vh5Yl6EkSWlujuuK5YR+/jmPN/xC2Ny5pNy7i9O0aUjFPOrJwsaY9kNrUq99JY7/cYf7VyK59M9Drp0IoX57V+p1qIRBeRhaWEiS0pNotrFZsR/3ZP+TmKhz18k/KiqKPXv2MGfOnCyJUSYrK6sXPn/8+PHMnj2brVu38sEHH+Q51gsXLnDlyhU2bNiQY/+slx2/qIjLakK+uVq4sqzdMr5p/Q32xvbcj7vPyL9HMuWfKYQlhuk7PKEUUygkOtdxYtd7viwf2JCaThYkpGpYevAOvl/t56s914lKKDuX2ySVCodPP/1vyZHfN3N/+Ag0MTF6icfWxYzu47zpObE+9pXNSU/RcHpnAFvmniUpruzUu5DR10eWZapXr56v51tbW2Nvb09AQEC+nn/r1i2AfB+/qIivAEKBSJJEJ7dOtKjYgiUXlrDh+gb2BuzlyMMjjKs/jjeqvYFKIU4zIX8UColXajvSqZYD+66GssD/FlcexbLs4B3WHgtgULPKjPD1wMas9F/OlSQJ60EDMajkysOJk0g8eZKAN/rhunwZBm5ueonJpVoFXvuwEXfOhXN4000iHyawdf55ek6oj7F52Wm9KyrGKmNO9i/+lQaMVca53rcwBtXIspyry3jr169n5MiRuvu7d5fcQT2i5UgoFGYGZkz1mcrGrhupa1uXhLQEvjz1Jf139udS+CV9hyeUcpIk0bGWIzvGtWT14EbUcbYkMVXDin/u0vKrA3y+6xrhcWVjWQyz1q2p/MsvqCo6kRoQQMAb/Ug4VbRLjryIJEl4NbSn16T6mFgY6BIk0YL0cpIkYaI2KfZbXvobValSBUmSuH79er5eY2RkJOHh4bi7u7903x49enDhwgXdrVGjRlStWhUg38cvKiI5EgpVDZsa/NzlZz5t+inmBuZci7rGgF0DmH18NjEp+rlEIJQdkiTRvqYD28a24IehjajrYklSmoaVh+7i+/V+PttxlbC4ZH2HWWBG1arivmkTRt510cTEcP/td4jevEWvMVVwNM2eIMWLBKm0s7a2plOnTixZsoSEhIRsj0dHR7/w+QsWLEChUNCrV6+XHsvc3BwvLy/dzdjYmHr16lGzZk3mzZuX41IrLzt+URHJkVDoFJKCvtX6sr3Xdnp49kBG5tebv9Ljzx5sv7O9xDajCqWHJEm0re7A1jEt+HFoY7xdrUhO07L6yD18vzrArO1XCYst3UmSys6OymvXYt75FUhLI/jjjwmbNw9Zj2t1ZUuQvhMJUlmQuVSWj48Pmzdv5tatW1y7do2FCxfSrNl/Hcrj4uIICQkhKCiIQ4cOMWLECD777DPmzJmDl5dXljJv3LiRpZXowoULOa51JkkSP/74Izdv3sTX15ddu3Zx9+5d/v33X+bMmUPPnj2L/PXnRCRHQpGxMbZhTss5/NDpBzwsPYhKjuJ/R/7HO3+9w92Yu/oOTygDJEnCr7o9f45uzpphjalfyYqUdC0/HL2H79cHmLHtCqGlOElSGBnhPG8etqNHARC5ajUPx09Am5Skt5iyJ0gXRIJUynl4eHDu3Dn8/PyYPHkytWvXpkOHDvj7+7Ns2TLdftOmTcPJyQkvLy8GDRpETEwM/v7+TJ06NVuZ/fr1o379+lluoaGhOR7fx8eHM2fO4OXlxfDhw6lRowY9evTgypUrzJ8/v6he9guJtdVeInNttfyszfIiaWlp7Nq1iy5dupSLZSzSNGmsvbqWFRdXkKxJRqVQMazWMEbUHYGRyqj44ihn9V5SFFe9y7LM4VsRLPC/xdnAxwAYqBS82diVUW28cLQsvnOtsMVs20bwx58gp6VhVKsWLkuXonawf+FzirLeH4ck8Me350mKTcXG2YyeE+thbFZ+O2knJydz79493N3dMTAwIDY2FgsLC7F8SBF7ut6VSmWW870gn99iGFEupaWl5dgkWJDynv5ZHgypPoT2Lu356sxXHHl0hFWXVrHr7i6mNppKS+eWxRJDeaz3kqA4672ZuxVN327EsbtRLD5whzOB0aw9HsiGU/fp29CFka3ccSqFSZJJ585UdHQkePwEkq9c4d7rr1Nx8SIMa9R47nOKst7NbAzoPq4O2xf+S+TDeLZ+d56uY+tgZFY+v3SkpaUhyzJarVbXdSDzvlB0Mus7LS1NV9eFcd6LlqPnWLJkie467M2bN9mwYQMmRbRydnkjyzLX0q6xI2kHsXLGGk411TXpatwVS4WlnqMTyhJZhluxEnuCFNyJyxjBo5RkmtrLtHfWYl0KZwBQR0ZScc1aDMPC0BoYEPxmPxJq1tRbPGnxCsJPGqNNVaA212Drk4iyHDYgqVQqHB0dcXV1xaCYJ+8sz1JTUwkKCiIkJIT09PQsjyUmJtK/f/98tRyJ5OglMpvlIiIiCv2y2r59++jQoUO5vbyTmJbIissr2HB9AxpZg7HKmFF1RtGvWr8imxtJ1Lt+lIR6P3kvikUH7nDyXsblNrVSok99Z8b5eeBgUbpakjSxsYRMeZ+k48dBkrCZPAmrwYOzDeEurnp/HJLIjoX/khSXho2zKV3H1cHItHz9fyUnJxMUFISbmxuGhobExcVhbm5erMvAlEfJyckEBATg6uqKUqnMcr7HxsZia2srLqsVJbVaXSRvLkVVbmlgqbbkA58P6OnVk89OfMaF8At8e/5bdgTs4NOmn1LPvl6RHbs817s+6bPeW1Z1oGVVB07ejWSB/y2O3Ylk05kH7LocwqfdavJ6Q5dS80GmtrGh8soVhMyZQ/TGTUR+Mw9N4H0cp32KlEP9FnW927ta0mtiA/6cf57IhwnsXHyZXhPql6tLbBqNBkmSUCgUuvMo875QdDLrW61Wo1Qqgf/O94Kc8+KvJuhdNetqrO28lpnNZ2JpaMnNxzcZtHsQM47NIDo5Wt/hCWVMEw8bNgxvym/vNsPbxZK45HQ++P1fhv54mkfR+hsFlleSWo3j9Ok4/O8jUCiI/u03vS45Yl3RlF4T6mNsYUDkg3i2LjhPcrzo2yeUTiI5EkoEhaSgT5U+bO+1nd5evQHYfGszPf7swR+3/hBzIwmFrrGbNZtHNefDztUxUCn452Y4Hb87xIaT90vN+SZJEtaDB+OydAkKExMST5wgoN+bpAYG6iUeXYJkriYiSCRIQuklkiOhRKlgVIFZLWax9pW1eFl58TjlMdOOTWPY3mFEJUfpOzyhjFEpFbzb2pNd7/nSoJIV8Snp/O+PSwxYfZKgqER9h5dr5m3aUPmXDaicnEi9d4+Avm+QePq0XmKxrmhKr4kNsiZICSJBEkoXkRwJJVIDhwb82v1XJjWchLHKmLOhZ3lv/3skp5feCf2EksvL3ozf3m3Op91qYqRWcOxOJJ3mH2LtsQC02tLRimRUrRruv27CqG7GkiOBb71N7NateoklW4I0XyRIQukikiOhxFIr1AyrPYyNXTdiYWDBxfCLfHzkY7SymDdEKHxKhcTbLd3ZM74VPu7WJKZqmL7tCv1WnSAgIvuaUyWRys6Oyj+txfyVjCVHwj75FJs9e/Sy5Ih1RVN6TqwvEiShVBLJkVDieVh5MN9vPiqFir8C/2LBuQX6Dkkow9xsTdk4vCmzetbCxEDJqXtRvLLgEKsP30VTClqRFEZGOH87D5tR7wJgc+AgIVOm6GXJEZuKZiJBEkolkRwJpUJjx8bMaj4LgB8u/8DvN3/Xc0RCWaZQSAxu5sbeCa1o6WVLcpqWz3Ze4/Xlx7gdFq/v8F5KUiiwHz8e+8/noFUqSdj3N4GDBpMWFlbssTybIG1bcEEkSCVQSEgI48aNw8PDA0NDQ1xdXenevTv+/v4AuLm5IUkSkiRhbGyMm5sbffv2Zf/+/VnKCQgIQJIkLly4kOtjt2nTRle2oaEhzs7OdO/enS1bthTmS8wTkRwJpUZ3z+6M9h4NwGcnPuPow6N6jkgo61ytTfj5bR++6FMHM0MV5+5H02XhYZYevE26puRf3rXo3p0Hw4ejsLIi+fJlAvq+QfL168Uex9MJUvj9OJEglTABAQE0bNiQ/fv3M3fuXC5dusSePXvw8/NjzJgxuv1mzZpFcHAwN27c4KeffsLKyor27dszZ86cAscwfPhwgoODuXPnDps3b6ZmzZr069ePESNGFLjs/BCTQOpLciz2MReBLvqOpFR51/tdHsQ/YNudbUz+ZzJrX1lLNetq+g5LKMMkSeJNn0q0rmrHR1su8c/NcL7ec4M9l0OY+5o31RzN9R3iCyW7u+G6YT3BY8eRevcuAf0H4PzNN5i39SvWOGwqmtFzQn22zj+vS5B6jK9XpmfSlmUZbWLxj3qUjI3zNKHp6NGjkSSJU6dOYWpqqtteq1Yt3nrrLd19c3NzHB0dAahUqRKtWrXCycmJadOm8dprr1GtWv7fi01MTHRlu7i40LRpU6pXr85bb71F3759ad++fb7Lzg+RHOlD7CNUK/3wSYhAG/EaOOlvXaTSRpIkZjSbQXBCMKdDTjPGfwwbum7A3uTFq5MLQkFVtDJmzbDGbD73kFnbr/Dvgxi6LTrMuLZVGNXGE7Wy5DbEq11dcdv4Cw8nTCDh2HEejBmD/QcfYD10SLHOCm7jXL4SJDkpiZuNGhf7caudO4uUy7VAo6Ki2LNnD3PmzMmSGGWysrJ64fPHjx/P7Nmz2bp1Kx988EF+wn2uIUOGMHnyZLZs2VLsyVHJ/W8uy8ydkO1roZTTUe6aCGLV5jxRK9V81+Y73C3dCU0MZaz/WBLTSs+cNELpJUkSrzV0Yd+k1rSv4UCaRubbfTfpsfgolx/qZ2bq3FJaWOC6YgVWb7wBskzYV18RMn0GcgFWLs+PzATJyExcYisJbt++jSzLVK9ePV/Pt7a2xt7enoCAgMINjIylQapWrVokZb+MaDnSB0lC0+UbtEubogo6AWd/gMbv6DuqUsXS0JIl7ZYwcNdArkVd4/1D77PAb0GRLVgrCE9zsDBi1eCGbLv4iOnbrnAtOJZeS44yqo0nY9t6YahS6jvEHElqNY4zpmPo4U7ol18R/euvpD0Iwnn+fJSFuLD2y9g4m9FrYn3+/K5styBJxsZUO3dWL8fNrcKYDV6W5Vy1QK5fv56RI0fq7u/evRtfX99CKbuwiZYjfbF05ZrT6xm/75sBMQ/1Gk5p5GruyqK2izBUGnLowSG+OvVVqVn2QSj9JEmiZz1n9k1sTZc6jqRrZRbtv033RUe4GBSt7/CeS5IkrIcMwWXpEiQTExKOHc9YcuT+/WKNIzNBymxB2r6w7LUgSZKEwsSk2G95SSaqVKmCJElcz2dH/cjISMLDw3F3d3/pvj169ODChQu6W6NGjV64v0aj4datW7kqu7CJ5EiP7tq1R+vcCFLjYOckEB/seVbXri5f+n6JhMTGGxv5+erP+g5JKGfszA1ZOqAhSwc0wMbUgJuh8fReepQvdl8jOU2j7/Cey9zPD7cN61E5OmZ01O77BolnzhRrDE8nSGGBGQlSSmLZSpBKOmtrazp16sSSJUtISMg+2Wl0dPQLn79gwQIUCgW9evV66bHMzc3x8vLS3Yxf0sK1du1aHj9+zKuvvvrSsgubSI70SVKg6TofFGq4uQcub9Z3RKVS+8rtmdxoMgDfnPkG/0B/PUcklEdd6jixb1JrenhXRCvDin/u0mXhYc4Gltw1AY2qV8ft100Y1amDJjqawGFvEf3nn8Uaw9N9kMICMy6xiQSpeC1ZsgSNRoOPjw+bN2/m1q1bXLt2jYULF9KsWTPdfnFxcYSEhBAUFMShQ4cYMWIEn332GXPmzMHLyytLmTdu3MjSSnThwgXSXtC/LTExkZCQEB48eMCJEyeYOnUq7777LqNGjcLPr3hHVoJIjvTPrjq0mpLx++6pkFhy30hLssE1B/NGtTeQkfnw8IdcCr+k75CEcsja1ICFb9Zn5aCG2Jkbcjc8gdeWH2f2jqskpZbMViS1vX3GkiOdOkFaGsEffkTY/PnFuuSIrcuTBMlUJEj64OHhwblz5/Dz82Py5MnUrl2bDh064O/vz7Jly3T7TZs2DScnJ7y8vBg0aBAxMTH4+/szderUbGX269eP+vXrZ7mFhoY+N4ZVq1bh5OSEp6cnffr04erVq2zatImlS5cWyWt+GZEclQQtJ4FdDUiMgL3/03c0pZIkSXzo8yG+zr4ka5IZu38sD+NFPy5BPzrWcuTvia15tYELsgzfH7nHKwsOceJupL5Dy5HC2Bjn777F5t2MzrKRy1fwcNLkYl1yxNYlY6JIkSDph5OTE4sXLyYgIICUlBQePHjA1q1badOmDZAxUaQsy8iyTEpKCoGBgWzatClbq46bm5tuv2dvLi4uOR774MGDWcp+9OgR27dvp3fv3kX9sp9LJEclgcoAeiwEJLj4C9z+W98RlUoqhYq5redS3bo6UclRjP57NLGpsfoOSyinLE3UzOvrzY/DGuNkaURgZCL9Vp5g2tbLJKSk6zu8bCSFAvsJE3D68gtQq4nbs4fAwUNIDw8vthhEgiSUFGLccy6lpaW98Hppfsp7+ieO9VE0Ho7y9Erk7RNIH3EYDMwK7XjlhQEGzG81n8F7B3M35i4T9k9gcZvFqJUZQ4Sz1btQLMpzvbf0qMDOsc34au9NNp15yE/HA9l/LZTPetWihadNkR47P/Vu2rUrzo6OBE+YSPKlS9x7vS9OixdjWK1qUYWZhaWDIV3H1mbH4kuEBcaxdcEFuoyujaFJyf64SktLy5gRW6vVjZrNvC8Uncz6TktL09V1YbzfSLIY+5yjJUuW6Dqp3bx5kw0bNmCSyxlH80upSabt9f9hkhrBHbuOXHYZWKTHK8uCNcGsiltFKqnUN6hPH+M+epkrQxCediNaYuNdBVEpGediM3stPStrMS6Bn/vqiAic16zFIDwcrYEBwf37k1AjfxMF5kdqrIKIU8Zo0xSoLTXYNU5EUYKnQVKpVDg6OuLq6oqBgYG+wyk3UlNTCQoKIiQkhPT0rC2yiYmJ9O/fn5iYGCzyOI+XSI5eIjY2FktLSyIiIvJcuS+SlpbGvn376NChA2r1f//x0p39qDb2RUZCM3Q3svOL54EQnu/oo6NM+GcCGlnD6Lqjeaf2O8+td6FoiXr/T3xKOvP23WLdySAAHC0M+axnTVpXtSv0YxW03jUxsYRMnkzSyZOgUGA/YzoWxdgPJPJBPDsWXSIlMR27yuZ0HVMbg5KYSQLJyckEBQXh5uaGoaEhcXFxmJubiy9lRSw5OZmAgABcXV1RKpVZzvfY2FhsbW3zlRyVzLOsBFKr1UXypp6t3OqdoG4/pH83oto5EUYeyuiTJORZm8pt+F+T/zH7xGyW/ruUSpaV6OjaESi6v6fwYqLeoYJazWe969LN25mpm/8lMDKRd34+z6sNXJjWrSaWJsXwPpPb59naUHn1KkJmf0b0r78S8fVcrF55pdhm03Z0r0CvSU9m0g6MY9fSK/QYXw/DEpggaTSajEkfFQpdQpR5Xyg6mfWtVqtRKjNmps883wvyXiP+aiVRp8/BxAbCr8GR7/QdTanWt1pfhtYaCsCnRz/lXNg5/QYkCE809bBh93hf3mrhjiTB5nMP6PDdP+y7+vzhzvqgW3KkShW08fFErVtXrMe3dTGn54T6GJqqCAuIzZgoMqnkdWgXyhaRHJVEpjbQ+euM3w/NhbD8TesuZJjYcCIdKncgTZvG5EOTidBE6DskQQDAxEDFtO41+f3dZnjYmRIWl8Lwn84wfuN5ohJS9R2ejqRQ6Ib5P177E5r47DMpFyU71/8SpNB7IkESip5Ijkqq2q9ClU6gTYNt40BbMieQKw0UkoLPW35OXdu6xKTG8FPCTzxOfqzvsARBp2Fla3a958vI1h4oJNh64REdv/uHXZeC9R2ajsUrr2Dg5oYmJoboTRuL/fgiQRKKk0iOSipJgm7fgoE5PDgFp1frO6JSzUhlxMK2C3E2dSZKG8WkQ5NI0aToOyxB0DFSK/mocw22jG5BVQczIuJTGb3+HKPXnyUiXv/nqqRUYvNkRfXIH34s1gkiM9m5mtNzfNYEKVUkSEIREMlRSWbpAu2nZ/z+90yILt5Vs8saG2MbFrRZgJFkxMWIi3x85GO0spiDRChZ6rlasX1cS8a19UKpkNh1KYQO3/7D1gsP0ffgYstuXVE7O6OJjCT6t9/1EoNdpScJkklGgrRNJEhCERDJUUnX6G1wbQppCbBjEoiZFwrEw9KD/ib9USlU7A3Yy8JzC/UdkiBkY6hSMrljNbaOaUENJwseJ6YxfuMFhv90lrDYZL3FJanV2IwYAUDk99+jTdVPvyi7Sk8usYkEqdCEhIQwbtw4PDw8MDQ0xNXVle7du+Pvn7GQt5ubG5IkIUkSxsbGuLm50bdvX/bv35+lnICAACRJ4sKFC7k+dps2bXRlP3179913C/Ml5olIjko6hQJ6LAKlAdzeB5d+03dEpZ6H2oNpPtMA+P7y9/x+Uz/fgAXhZWo7W7J1TAsmdaiKWinx97VQ2n/7D7+ffaC3ViTL3r1QOTiQHhpKzJY/9BIDZE+Qti8SCVJ+BQQE0LBhQ/bv38/cuXO5dOkSe/bswc/PjzFjxuj2mzVrFsHBwdy4cYOffvoJKysr2rdvz5w5cwocw/DhwwkODs5y+/rrrwtcbn6J5Kg0sKsKrT7I+H33VEgQo60KqptHN0Z5jwLgsxOfcezhMT1HJAg5M1ApeK9dFbaPa0kdZ0tik9OZ8ttFhq05zaPo4u/3ozAwwObttwGIXLUKWY9LwjydIIXcLXkJkizLpKVoiv2W18R59OjRSJLEqVOnePXVV6latSq1atVi0qRJnDhxQrefubk5jo6OVKpUiVatWrFy5Uo+/fRTpk2bxo0bNwpUVyYmJjg6Oma5FebEy3lV8mbSEnLWYjxc+QPCrsCeD+FV0UG7oEZ5j+JB3AO2393OpH8m8VPnn6haoXjWjxKEvKruaMEfo5uz8vBd5u+7xcEb4XT87hAfd61Bv8auxToTs1Xf14lYsYK0hw+J2b4Dqz76Wz09M0HaOv/8kwTpIt3HeZeImbTTU7Wsnni42I87YkFr1IbKXO0bFRXFnj17mDNnDqamptket7KyeuHzx48fz+zZs9m6dSsffPBBfsItkUTLUWmhMoCei0BSZFxau7lX3xGVepIkMaP5DBo5NCIhLYEx/mMISwzTd1iC8FwqpYLRbbzYNb4l9StZEZ+SzkdbLjHw+5MERSUWWxwKIyNs3hoGQOSKFcga/U41krUFKYbtiy6SmlxyWpBKstu3byPLMtWr52/dPGtra+zt7QkICChQHEuXLsXMzCzLbf369QUqsyD0n1oLuefcEJqOhuOLMzpnjzkBhub6jqpUM1AaMN9vPgN3DSQgNoCx/mNZ88oaTNRFu8iwIBSEl705v7/bnB+P3mPu3hscvR1Jp/mH+LBzdQY2qYxCUfStSFZv9CNy5SpSAwOJ3bMHy65di/yYL5K1BSmG7Qsv0v09bwyM9PcxpzJQMGJBa70cN7cKo++aLMu5arlcv349I59MBwGwe/dufH19ARgwYAAff/xxlv0dHBwKHFt+iZaj0sbvf2BVGWIfgP8sfUdTJlgaWrK0/VKsjay5FnWNqYemohGTbgolnFIh8Y6vB3smtMLHzZrEVA3Ttl7hzVUnCIgo+hmslWamWA8dAkDk8uXIWv1Pi2FXyTxj7bXMFqSF+m1BkiQJtaGy2G95ucRapUoVJEni+vX8rcQQGRlJeHg47u7uL923R48eXLhwQXdr1Oi/hdUtLS3x8vLKcjM319+Xf5EclTYGptB9Qcbvp1bB/ZP6jaeMcDV3ZWHbhRgqDTn44CBfn9bfKAlByAt3W1M2jmjKzB61MDFQcvJeFK8sOMTqw3fRaIt2RFuFAQNQmJmRcus2cU+GfOubfWWLLAnSDnGJ7YWsra3p1KkTS5YsISEhe1IdHR39wucvWLAAhUJBr169Xnosc3PzLMmPsbFxPqMueiI5Ko08/aDeAEDOWFokXf+z55YF3nbefOH7BRISG65vYN3V4l1gUxDyS6GQGNLcjb0TWtHc04bkNC2f7bzGm6tPEVqEA9qUFhZUGDgAgMhly/U+SWWmpxOk4DsiQXqZJUuWoNFo8PHxYfPmzdy6dYtr166xcOFCmjVrptsvLi6OkJAQgoKCOHToECNGjOCzzz5jzpw5eHl5ZSnzxo0bWVqJLly4QNoLRjYmJiYSEhKS5fb4sf6WeRLJUWnV8TMwtYeIG3DoG31HU2Z0qNyBSQ0nAfD16a/Zf3//S54hCCWHq7UJ699pwpzetTEzVHE+KIavLypZefge6ZqiuexlPWQIkokJyVevknDoUJEcIz+yJUiLRYL0PB4eHpw7dw4/Pz8mT55M7dq16dChA/7+/ixbtky337Rp03BycsLLy4tBgwYRExODv78/U6dOzVZmv379qF+/fpZbaGjoc2NYtWoVTk5OWW5vvvlmkbze3BDJUWllYg1dnlz6OfIthF7RbzxlyJBaQ+hbtS8yMlMPTeVyxGV9hyQIuSZJEgOaVGbvxFb4etmQLkvM/esWry47xo2QuEI/nqpCBSr06wdAxNJlJab1CP5LkAyMVQTfFgnSizg5ObF48WICAgJISUnhwYMHbN26lTZt2gAZE0XKsowsy6SkpBAYGMimTZvw8/PLUo6bm5tuv2dvLi4uOR774MGDOe6/Z8+eon7ZzyWSo9KsZi+o1hW06RmX10Qn4kIhSRIfNfmIls4tSdYkM9Z/LA/jH+o7LEHIE2crY74f3IA3PTWYG6m4+CCGbosOs8j/FmmF3IpkM2wokqEhSRcvkniyZPWDtK9sQc8JIkES8kYkR6WZJEHXb8DQAh6ehZMr9B1RmaFSqPim9TdUq1CNyORIxvw9htjUWH2HJQh5IkkSTe1ldo1rTrvq9qRpZObtu0nPxUe58iim0I6jsrPD6vXXgYzWo5JGtCAJeSWSo9LOoiJ0mJnx+/7Z8DhAr+GUJaZqUxa3W4y9sT13Yu4w6eAk0jT6WypBEPLL0cKI1UMaMf+NeliZqLkaHEvPxUf59q8bpKYXTiuSzdtvgVpN4qlTJJ49WyhlFiYHN5EgCbknkqOyoMFQqNwC0hJh+wQoQdf8SztHU0eWtF+CicqEk8EnmXViVonqUyEIuSVJEr3qO/PXxFa8UsuRdK3Mwv236b7oCP8+iC5w+WonJ6x6ZywjErFseYHLKwoObhb0eE8kSMLLieSoLFAooPtCUBrC3QNw8Rd9R1SmVLeuztzWc1FICv68/SerLq3Sd0iCkG/25kYsG9iAxf3rY21qwI3QOHotOcqXu6+TnFawfos2w98BpZKEI0dIunSpkCIuXA7uTxIkIyXBt2PYueTfQk2QxJen4lVU9S2So7LC1gvafJjx+56PIF6sEVaYWrm04n8+/wNg0flF7Lq7S88RCUL+SZJEt7oV2TexFd29K6KVYfk/d+i68DBnA/M/t4yBqyuW3boBELG85PaBdHC3oMf4+hgYKXl0K7pQEiS1Wg1kzNcjFJ/M+s6s/8Ii1lYrS5qPgytbIOQS7J4Kr/+o74jKlDeqv0FQXBBrr67lk6Of4GDqQEOHhvoOSxDyzcbMkEVv1qdbXSc+/uMyd8ITeG35Md5u4c7kjtUwNsjdyu5Zyhw5kpht24j39yf5xg2MqlUrgsgLLjNB2rbgvC5B6jqmbr7XYlMqlVhZWREWFoZWq0Wr1ZKcnIxCIdogioIsyyQmJhIWFoaVlRVKpRJtIS5hI5KjskSphh6LYFXbjCSpbl+o1lnfUZUpkxpN4mH8Q/6+/zfjD4xnXed1uFm66TssQSiQTrUcaeJuzaztV9ly/iGrj9zj72uhfPVqXZp42OSpLEMPdyw6v0Lsrt1ELF+Oy3ffFVHUBefgbkH38fXYvuCCLkHqNtYbtWHek0IAR0dHAMLDw0lKSsLY2DhP65wJeWdlZaWr98IkkqOypmJ9aDYWji2EHZOgcnMwstR3VGWGQlLwue/nhO4N5VLEJcb4j2Fdl3VUMKqg79AEoUCsTAz49o16dPN24n9bLhMQmcgbK08wpFllPnilOqaGuf+4sBn5LrG7dhO3Zy8p4+5i6OFRhJEXjKO7ZZYEacfii/lOkCRJwsnJiQoVKuDv70+rVq0K/XKP8B+1Wo1Smb9E9mVEclQWtfkIrm2Hx/fg7xnQreR+cyuNjFXGLGy7kIG7BnI/7j7v7X+P1Z1WY6g01HdoglBgbas78Ncka+bsuMamM0GsPR6I//Uwvnq1Li28bHNVhlG1qpi1b0f83/5ErlhBxa++KuKoC8bR3ZLu79Vj+8KCJ0iQcYktPT0dIyMjkRyVUuJiaFlkYAI9Fmb8fuYHCDym33jKIFtjW5a2W4q5gTkXwi/wyZFP0MpFs3aVIBQ3CyM1X71Wl5/e8sHZypgHj5MYsPoks3dcRaPN3egg25HvAhCzYyep9+8XZbiFwtEjI0HK7KS9Y/FF0lLEqgPllUiOyir3VlB/UMbv28ZBWrJ+4ymDPKw8mN9mPiqFij0Be1h0fpG+QxKEQtWqqh17J7ZiYNNKAHx/5B4jfz5LYurLR3YZ16mNqa8vaDRErlpd1KEWiswESa0bxSYSpPKqXCRHvXv3pkKFCrz22mv6DqV4dZwNZg4QeRsOfa3vaMokHycfZjSbAcDqS6vZfHOzfgMShEJmZqjis151WNy/PgYqBX9fC+XNlScIj0t56XNtR40CIPrPP0l79KioQy0Ujh6W9HiSID28KRKk8qpcJEfjx4/np59+0ncYxc+4AnT5JuP3owsyhvgLha6nV0/e9c64hDD7xGyOPRKXMYWyp1vdiqx/pwlWJmouPoih99Kj3A6Le+FzTBrUx6RJE0hLI/L7H4op0oLLliAtFQlSeVMukqM2bdpgbm6u7zD0o2YPqNEdtOmwdSxoxFT5RWG092i6eXRDI2uYfHAytx7f0ndIglDoGrtZ88foFlS2MeHB4yT6LD3GibuRL3yO7aiMLw7Rv/1GWljpmZw2S4J040mClCoSpPJC78nRoUOH6N69OxUrVkSSJP78889s+yxZsgQ3NzeMjIxo0qQJp06dKv5AS7Mu32QM5w++ACeW6juaMkmSJGY2n0lDh4bEp8Uz2n804Ynh+g5LEAqdu60pW0Y1p0ElK2KT0xn0/Un+PP/wufubNGmCcf36yKmpRP24pvgCLQTZEqQlIkEqL/Q+lD8hIQFvb2/eeust+vTpk+3xTZs2MWnSJJYvX06TJk2YP38+nTp14saNG9jb2wNQr1490tOzt4j89ddfVKxYMU/xpKSkkJLy37X02NhYANLS0khLK7wV2TPLKswyn8vIBqndTFQ7JyAf+Jz0Kq9ABfeiP24JVJT1LiHxTctvGLZvGAGxAYzxH8Pq9qsxVhkX+rFKm2I93wWdoqp3C0MFa4c2ZMrvl9h7NYwJmy4QEBHP6NbuOU56aDX8HZJGj+Hxxl+wHDYUZYXSMy+YjasJnUfVZveyyzy8Ec2ORRd45d1aqF4we7g43/Xj2XovSP1LcglaJU+SJP744w969eql29akSRMaN27M4sWLAdBqtbi6ujJu3Dg+/PDDXJd98OBBFi9ezO+///7C/WbMmMHMmTOzbd+wYQMmJia5Pl6JI8s0v/0ldvHXCDeryTGvqSBmbi0SkZpIVsSvIFFOpLqqOv1N+6OQ9N5IKwiFTivDtkAFB4Izzu+m9lr6umtRPnu6yzKVFi3G6OFDIv38iHylU/EHW0ApjxVEnDZB1kgY2qRj0zAJRdHMPygUksTERPr3709MTAwWFhZ5eq7eW45eJDU1lbNnz/LRRx/ptikUCtq3b8/x48eL5JgfffQRkyZN0t2PjY3F1dWVjh075rlyXyQtLY19+/bRoUOH4pskLKoG8qpW2MVfpatzNHK9AcVz3BKkuOq9bnhdRvqP5Hr6da45XOP9Ru8X2bFKA72c70Kx1Hs3YN3J+8zeeZ0TYQqU5nYs6ueN+TNrlMUbGRMyYQK2p07RaPZslJaF935aXEKaxbJ76WVSIoEAFzqOzLkFSZzv+vFsvWde+cmPEp0cRUREoNFocHBwyLLdwcGB69ev57qc9u3bc/HiRRISEnBxceG3336jWbNmOe5raGiIoWH2mY7VanWRnORFVW6OHKqB3/9g3zRU/tOg+itgXvhr0pQGRV3vjSo24gvfL5j8z2R+ufkLla0qM6BG+UtGn1Ws57ugU9T1PqylJ67WZoz75TxH70TS//vT/DisMU6W/11SturYgcdVqpBy6xZxv27CbvToIounqLhWs/lvJu2bMfy16hpdRtdF/ZxLbOJ814/Mei9I3ZeLtv6///6b8PBwEhMTefDgwXMTo3Kh6RhwqgfJMbCrfLdmFLWObh2Z1DCjFfKrU19x4P4BPUckCEWnfU0HNo1siq2ZIddD4ui15ChXHsXoHpcUCt3Itcdrf0ITn6CvUAvEydOS7uMylhZ5cP0xu5b+Kzppl0ElOjmytbVFqVQSGhqaZXtoaGiRrMJbLihV0GMRSEq4ti1jDTahyAytNZTXq76OjMzUw1O5EnlF3yEJQpGp62LFH6Ob42VvRmhsCn2XH+fgjf+G75t36oSBmxuamBiiN/6ix0gLxsnLSiRIZVyJvqxmYGBAw4YN8ff313XS1mq1+Pv7M3bs2GKNpVSPVnuWbQ0UzcaiPLYAeedk0l2aZQz1Lwf0Ue/vN3ifh3EPORZ8jLF/j2VNpzVUNM3bKMrSToze0Q991LujuZpN7zRmzC8XOHHvMW+vPcPM7jV4o5ELAFbvvE3YJ58S+cOPmPXti8K4dI7mtK1sSudRtdi97AoPrj9m55KLdBpRE5WBUpzvelKmRqvFx8dz+/ZtAOrXr8+3336Ln58f1tbWVKpUiU2bNjFkyBBWrFiBj48P8+fP59dff+X69evZ+iIVpiVLlrBkyRI0Gg03b94s/aPVnqHQpuJ3/WPMUkIJsGnDxUpv6TukMi1ZTmZ13GpCtCHYK+wZYT4CI8lI32EJQpFJ18LGOwpOR2RcoGjvrKWrqxaFVoPbN/MwiIoirHs3olu21HOkBZMSpSTijLFuFJttwyQkMYqtRCjIaDW9J0cHDx7Ez88v2/YhQ4awZs0aABYvXszcuXMJCQmhXr16LFy4kCZNmhRLfLGxsVhaWhIREVH6R6s9Q7p/DNXPPQBIH/gncuXS/SaVG/qs99DEUAbvHUx4UjhNHJuwsM1C1Iry0VmzJJzv5ZG+612WZRbuv8Pig3cB6FrHka/61Cb5jy2Ez5qF0t4et927kAwMij22whRyJ4ZdSy+TnqrFuZoVbYdV5cA//uJ8L2Y5jVaztbUtnUP527Rpw8vys7Fjxxb7ZbRnlYnRas/ybA0Nh8HZH1HtmgSjjoG6dDZx55U+6t3F0oUl7ZYwZM8QToac5MszXzKz+cwcJ80rq8ToHf3QZ71PeaUGlWzN+N+WS+y8FEJ4XCor+nVHtXIl6SEhJGzfToV+/fQSW2FxrW6bMYpt0UUe3ohm/5qbUEmc7/oiRqsJBddhJpg7QdRdOPilvqMp82rY1OCb1t+gkBT8cfsPVl9are+QBKHI9W3kypphPpgbqjgVEMWr359B0W8QAJErVyGXgb45Fb2s6D7WG5WhkofXo4m8IC6bl2YiOSrvjCyh67cZvx9bBI8u6DWc8qCVSys+8smY2HTh+YXsurtLzxEJQtFrWcWW30Y1o6KlEXfDExgQ7IBcwZq0R4+I2b5D3+EViopVMhIkhUoiOUzNo5vR+g5JyCe9X1YrLcrUaLVneXZAWaMnimtbkbeOJf2tfaAom6dGSan3Vz1fJTAmkHXX1/HJ0U+wNbSlvn19vcZUlEpKvZc3Ja3ePW2M+XWED8N/Ps+1kDjWurZg6OPtRKxYgUmXzkjK0t+T2c7NlKpN7Ll+NJTTOwNwqmJZri6d61OZGq1WUpX10WrPMkyLoe21DzHQJHClYl9uO3TTd0hlnlbWsjFxI1fTrmIsGTPSbCS2Slt9hyUIRS5ZA2tvKrgbkcbavXOwSEsk+M1+xNWrp+/QCoUmWSL4H1PQStj6JGJkI+ZA0odSPVqtpCvLo9WeJV38BdWOccgqI9KH/wPWnvoOqdCVtHpPSk9ipP9ILkdextXMlTUd11DBqPSsWJ5bJa3ey4uSXO/pGi0zd16HdWsYcm0P0Q6u1NuzDZWq9LcepaWl8duCQ8QHGuDoYUH3CXVF61ExKFOj1UqLMjla7VkNB8HVLUh3D6DeNRmGbAdF2eyWVlLqXa1Ws6jdIgbuGkhQfBBTjkxhVcdVGCqzr+9XFpSUei9vSmK9q9XwRZ+6rDYdRvyUg1iFBrFw9o+8N2MExs9Zq6w0MfdIJemhISF3Ywm9E49rDWt9h1RuiNFqQuGSJOg+H9QmEHgEzv+k74jKBVtjW5a0W4K52pzzYef59MinaGWtvsMShCInSRLDX6lLao/XAKjpv5l+K44RHpei58gKTmkkU6OFEwCnd9x76ZQ1QskikiMhqwpu4Pdxxu9/TYPYYL2GU154Wnnynd93qCQVuwN2s/j8Yn2HJAjFpsn7o5GNjPGKeYjB2ZP0XnqU22Fx+g6rwLw7uKBUKwi+E8ODa4/1HY6QByI5ErJrOgoqNoCUGNg1BcQ3nmLRxKkJM5rPAGDVpVX8cesP/QYkCMVEVaECNgPeBGDonf08iEqkz9JjnLgbqefICsbU0pBavhnrKJ7acVe0HpUios9RLpXpofw56fIdqh/aIV3fQfqlLcg1eug7okJR0uu9S+UuBMYEsuryKmYdn4WdkR1NHItnqZyiVNLrvawqTfVuMXAgj9etxyP8Hq9KwWxOrsig70/yZe/a9PB20nd4efJ0vddt68yVw48IuRtLwKVwXGqUvQEXJYUYyl8MyttQ/pxUf/Q71UK3kayyZH+NL0hTmek7pHJBlmV+T/ydi2kXMcSQEeYjcFAW3SLLglBS2G3dRoVjx0hwd2e23yguRmVc3OjqqqGDs0xpHfAVfc2Q+AADDKw02DVNLLWvo7QRQ/mLUHkayp9Negqq1W2QIm+h9R6AptsCfUdUYKWi3oFUTSqjD4zmXNg5HE0cWdtpLXbGdvoOK99KS72XNaWt3tNDQgjo3AXS03H68UcWRZjx/dFAAF5v6MzM7jVQK0t+b5Bn6z0xNpVfZpxGk6al8+jauIrWoyIhhvLrQbkYyv8stRp6LoYfOqG4uB6Fd1/waKPvqApFia53MuJb2HYhA3cNJCA2gImHJvJjpx8xUZfu1suSXu9lVWmpd7WrK1Z9+hD966/Efv89n65eRWVbM2Zsu8JvZx8SEpvC0gENMDcq+a8F/qt3Sxs1tVs7c/HvIM7tvo97HTsx71EREkP5haJXqSk0fifj9+3jITVRv/GUI5aGlixtt5QKhhW4GnmVqYenotGKmXaFss1m+DugVJJw5AhJ//7L4GZurBzUCGO1ksO3Inh9+XGCY5L0HWaeNehYGZVaQei9WO5fidJ3OMJLiORIeLl208HCGR4HwIE5+o6mXHG1cGVh24UYKAw4GHSQb858o++QBKFIGbi6Ytm9OwARy1cA0L6mA5tGNsXWzJDrIXH0WnKUK49i9BlmnplYGFC7tTMAp8S8RyWeSI6ElzOygG7fZfx+Yik8PKvfeMqZevb1+Nz3cwDWXVvH+mvr9RyRIBQtmxEjQJKI37+f5OvXAajrYsUfo5vjZW9GaGwKfZcf55+b4XqONG/qP2k9CguIJfBy6Z6moKwTyZGQO1U7Qe3XQNbCtvdAU/KHBpclndw6MbHhRAC+Pv01B4MO6jUeQShKhh7uWHTuDPzXegTgam3C5neb09TDmoRUDW+tOc3GU/f1FWaemVgYULuNCyBmzS7pRIfsXCp38xzlpP1nqO7sRwq9jObwd2hbTNR3RHlWKuv9iYFVBxIYE8iW21t4/5/3Wd1hNTWta+o7rFwpzfVempXmerd8+y1id+0ibu9eEm7cwMDDAwATNXw/qAEf/3mFPy8G8+GWSwRGxDOhnRcKRcno5Pyieq/j58Tlfx4QFhjH3QthVKot1lwrLGKeo2Ig5jnKmUvUURoGrkAjqTlY/TPijUrX5GylnUbWsC5hHbfSb2EmmfGu+btYKaz0HZYgFImKP/2E2ZWrxDaoT8gbb2R5TJZhd5CCvQ8zLoA0sNEywEuLqhRcD4m+bkD8PUPUlhrsm4l5j4qKmOeoCJXreY5yIssoN76B4u5+tK5N0QzaBlIpeDd6otTW+1Pi0+J5a99b3I6+jZelF993+B5zA3N9h/VCZaHeS6PSXu/JV67yoF8/UCqpvH0balfXbPv8fu4hn269SrpWprFbBZa+WQ8rE/2+1pfVe1JcxrxH6alaOo2oSeU6NnqIsuwR8xzpQbmc5+h5eiyAJU1RBJ1AcfHn/4b6lyKlst6fqKCuwLL2yxiwcwC3Y27z4dEPWdJ+CWpFyX89pbneS7PSWu/qet6YtvIl4dBhYn78EafZs7Pt82YTN1ytzRi17iynAx7zxupTrBnqQyUb/bf0P6/e1dZq6vq5cG7vfc7tCcKzvoOY96gQiXmOBP2wqgTtpmX8vm8GxDzUazjlkaOpI4vbLcZYZczx4OPMOTFHdO4UyiTbd0cBEP3nVtIePcpxn5ZVbPltVDMqWhpxNzyB3kuPciEouhijzLt6HSqhMlQSfj+OgH8j9B2O8AyRHAn54zMcXBpDahzsnJTRAUAoVjVsavBN629QSAo239rM95e/13dIglDoTBrUx6RpU0hLI3L188/x6o4W/DGmBTWdLIhMSKXfyuPsvRJSjJHmjbGZAXWfjFwT8x6VPCI5EvJHoYQei0Chhpt74MoWfUdULrVyacWHPh8CsODcAvbc26PniASh8Nm++y4A0b//TlpY2HP3c7Aw4td3m9Gmmh3JaVreXXeWH47cK64w86x+h0qoDZVEBMVz76JoPSpJRHIk5J99DfCdnPH7rg8gUUyJrw9vVn+TQTUHAfDxkY85H3ZezxEJQuEyaeKDcf36yKmpRP3w4wv3NTNUsXpwI/o3qYQsw6wdV5mx7QoabclrmTEyy+h7BHB6p2g9KklEciQUjO8ksKsOiRGw93/6jqbcmtxwMu0qtSNVm8p7+98jKC5I3yEJQqGRJAnb0Rl9jx5v2kR61Iu/iKmUCub0qs2HnasDsOZYAKPWnSUpteStTVivfSXURk9ajy6I1qOSQiRHQsGoDDMuryHBxV/g9t/6jqhcUiqUfOH7BbVtahOdEs3MYzPFt1ChTDFt2RKjWrWQk5KIWvvTS/eXJIl3W3uy6M36GCgV/HU1lH4rjxMel1IM0ebe061Hp3beQy6BLVzlkRjKn0tihuwXcKyPovFwlKdXIm+fQPqIw2Bgpu+oclSm6v0ZKlR80eILXtv5GidDTrLt1ja6uHfRd1hA2a73kqys1bvV8OGETJhA1Lp1WAwahNLy5XPXvFLTDtthDRm1/gIXH8TQe+lRVg9qgKedaZHFmdd6r9XaiX8PPCDyQTy3zobgXs+2yGIry8QM2cVAzJCdN0pNMm2vfYRJWiR37Dpx2WWAvkMqt/5J/od9yfswlUyZYD4BY4WxvkMShMKh1VJ5wUIMQ0KI6NCeqPbtc/3UsCRYfk1JZIqEiVLm7eoavApvXt8Ci7lpQNwdQ9TmGuxbiFmzC4OYIbsIiRmyc0+6449q4xvISGiG7kF2bqjvkLIpi/X+rDRNGv129+Ne7D1e83qN//novy9Yeaj3kqgs1nvcnj2Evv8BCgsL3P7ai8I09y1AkQmpvLv+PBeCYlArJb7sXZse3oW/BFJ+6j0lMY0N00+Tlqyh/ds18BCtR3kmZsjWAzFDdi5UfwXqvoH07yZUuybCiH9AZaDvqHJUpur9GWq1mmnNpjFs7zA2395Mr6q98Lbz1ndYQNmu95KsLNV7hS5deLx0Gan37hH322/YDh+e6+c6WqnZOKIZEzZeYM+VECb/fomQuFRGt/Eskhmq81Lvaks13u1cObMzgHO771O1oSNSCVlIt7QRM2QLJU+nL8DEBsKuwpHv9B1NudXIsRE9PXsiIzP7+GzSten6DkkQCoWkVGIzcgQAUT+uQZuUlKfnG6mVLB3QgHdaugMwd+8NPtpyiTSNttBjzSvvtq4YGKuIepTAnfPh+g6nXBPJkVC4TG2g89cZvx+aC2HX9RtPOTa50WQsDS258fgG66+t13c4glBoLLt2Re3igiYqiuhff83z8xUKiU+61WRmj1ooJNh4Ooi3154hLlm/HdeNTNV4t31q3iMxck1vRHIkFL7ar0KVTqBNg23jQKv/b2TlUQWjCkxumDFJ55ILSwhJKLlLKQhCXkhqNTYjMi6nRX7/A9qU/A3PH9LcjZWDGmGsVnLoZjivLz9OcEzeWqIKm3e7/1qPbp97/mzgQtESyZFQ+CQJus7LGM7/4BScXq3viMqtnl49aWDfgKT0JL489aW+wxGEQmPZqxcqR0fSw8KI+eOPfJfTvqYDm0Y2xdbMkOshcfRecoyrj2ILMdK8MTTJ6HsEcHpnAFrReqQXhZ4cPXwoVmgXACtXaD8j43f/mRAtZmzWB4Wk4JOmn6CSVPjf9+dg0EF9hyQIhUJhYIDN228DELlyFXIB5rSp62LFH6Ob42VvRkhsMn1XHOefm/rr8+PdzhVDExWPgxO4I1qP9KLQkqOQkBDGjRtHlSpVCqtIobRr9Da4NoXUeNgxEcSsEXpRpUIVBtcaDMAXJ78gMS1RzxEJQuGwev01lLa2pD16RMy27QUqy9XahM3vNqephzXxKem8teY0m07fL6RI88bQWPVf69GOe6L1SA/ylBw9fvyYN998E1tbWypWrMjChQvRarVMmzYNDw8PTp8+zY8/vnhRQKEcUSgylhZRGsDtfXDpN31HVG6NrDuSiqYVeZTwiBX/rtB3OIJQKBRGRtgMGwZAxMoVyJqCrZ1maaJm7Vs+9K7vjEYrM3XzJb7Ze0MvS/HUbfuk9SgkkdtnQ4v9+OVdnpKjDz/8kGPHjjF06FBsbGyYOHEi3bp149y5c+zfv58TJ07wxhtvFFWsQmlkVxVafZDx++6pkCAWVtQHE7UJ/2uSMRnkT1d+4tbjW3qOSBAKR4V+b6C0siIt8D6xu3YXuDxDlZJv+3rzXlsvABYfuM2ETRdISS/eRWsNjVXUa5/RenRG9D0qdnmaBHL37t2sWbOGtm3bMnbsWDw8PKhXrx6ff/55UcVXYoi11QqgyWhUV7YghV1Fu3sqmp7L9RZKuar3ZzR3bI6fix8HHhxg1vFZrG6/GoVUPGMyynO961O5qHcDAywHDSRq0WIili/HuGMHJEXBz+txfh44WhgybdtVtl54xKPoJJa+WQ8rk5dPLFhY9V6jpSMX/g7icUgiN04+wquRfYHKK+v0traaSqUiKCgIJ6eM6dZNTEw4c+YMNWvWzHcAJZVYW61wWSXcodXNWUjIHPeYTJhlyZixubyJ1kazMHYhqaTS27g3DQ1L3hIvgpBXiqRk3L/8EmVyMo8GDSS+du1CK/t6tMSPNxUkayTsjWRG1tBga1Roxb9U7G0DYm8ZojLV4OAr1lzLi2JbW02pVBISEoKdnR0A5ubm/Pvvv7i7u+ct4lJErK1WeBT7PkF5ajmyhTPpI46AoXmxx1Ae6/1Z666t49vz32JpYMmWbluoYFShyI8p6l0/ylO9Ry5azOOVKzGsUR2XTZsKdTmQGyFxvPPzOUJiU7AxNWDFwPp4u1g+d//CrPfUpHR+mXGalMR0/AZXo0pj0Xr0PHpbW02WZdq1a4dKlfG0pKQkunfvjoFB1vWzzp07l6cgSgOxtlohaD8Nbu5Gig5EfegL6DJXb6GUq3p/xqDag9gZsJMbj2+w8P/t3Xd4VGXax/HvmZLeCykQOoSekJAEBQVUmhQRXQsWQEFUwFVcXd3Xsrq2tWBFREBUEAVURGmCSFMgQELvvRMI6X0yM+8fA1kiLWUmTzJzf65rLiaTyTk/nusw3HnOU7Z8xGtdX6uxc7tyu6vkCu0eMnwYWTNmULxrN8Vr1uDbvbvdjt0uKoh5Y7oyfNoGdp7K4f4vNvDhPR3p3Tb8qj9nj3Y3Go107NWQdT8dZNOvx2iVFIFOL0sUXo099larVHH08ssvl/v6tttuq/KJhQty84YBH8L0QbB+MrS7ExomqU7lcgw6Ay9e9yIPLHyAeQfmcVvz20gIT1AdS4hqMQQGEnjvPWRM/YL0iRPx6dbNrr1HYX4ezH70OsbMTGXFnrM8OiOFF/u14aGujr9z0r57AzYvPUZWWgH7NqQR3TnC4ed0ddUqjoSotGY9IPY+2PyNbWuRR1eDwV11KpcTExrD31r+jdl7Z/Pautf4fsD3GPXO3bMgnF/w8OFkzviGoi1bKVi7Fu/rr7fr8X3cDUx5sBMv/byDmclHeXX+To5lFvBCvzbodY4bDOTmYSC2ZxTrfjrIhoWHaZEQJr1HDlap1j1z5uordZaWlrJ+/fpqBRIuoNdr4B0K6Xtg9Xuq07isJ+KeIMgjiIPZB/lq51eq4whRbYaQEALuuguA9ImOmRVr0Ot4fVA7/tmnFQDT/jzMYzNSKCxx7FT/9t0b4OFtJPtMIXs3yLpHjlap4igiIqJcgdS+fXuOHfvfthDnzp3juuuus1864Zy8gqDv27bnq8dD2k61eVyUv7s/zyQ8A8BnWz7jWK5s8SLqvuCHH0IzGinYsIGCjRsdcg5N03isezM+vrcjbnodS3amcc/kdaTnVW0D3Ipw8zDQsVdD4Py6R2bZ0NuRKlUc/XVi2+HDhy9ZR0DFSqKiDmp7O0TfChaT7faapWYXWBM2/Zr0Iyk8iWJzMW8kvyH/fkWdZwwPx3/wYMBxvUcXDIiJ5JuRSQR4GdlyLIvbP/2TA2fzHHa+dt3q4+FjJPtsIXvXS++RI9n9pqU9B8AJJ6Zp0O89cPeDExshWba0UEHTNP6v8/9h1Bn548Qf/Hb0N9WRhKi24JEjQK8n/88/Kdy61aHnSmgcxA+PXU/DIC+OZRQy+NM1rD+c4ZBzXdx7tGGh9B45kozoEur4RULPV2zPf/8PZB5Rm8dFNfFvwsPtbbubv5X8FvmmfMWJhKgetwYN8B8wAHB87xFAs1Af5j5+PR0bBpBdaGLYlymkpjumo6B9twZ4+hrJOVvInmTpPXKUShVHmqaRm5tLTk4O2dnZaJpGXl4eOTk5ZQ8hKiVuGDTqAqYCmP8kyG0dJUa0H0GUbxRnCs/wyaZPVMcRotqCRz0Cmkbe8uUU7drl+PP5uPPtyM70aRuOyWzl6306ftl6yu7nMbrr6dizEQAbFx7CLL1HDlHpMUctW7YkMDCQoKAg8vLy6NixI4GBgQQGBhIdHe2onMJZ6XQw4CPQu8OB32HLd6oTuSR3vTsvJL0AwMzdM9l1zvH/mQjhSO5NmuDXty8A6ZM+r5Fzehj1TLgvjrs71ceKxjM/bGfRNvsXSO261bf1HqUXsWfdabsfX1RynaPly5c7KodwZSHNofs/Ydmr8Ovz0PwW8AlVncrlXF//evo27suiw4t4de2rzLh1BnqdXnUsIaoseNQochYuJPfXXyk+cAD3Zs0cfk69TuPVAW04dOQY68/qGPvtJj7T67ilTZjdzmF019OxVyPW/LCflEWHie4cjl7WPbKrSrVmt27drvpISEhw+iXqhYNc/wSEt4fCTFj0rOo0LuuZhGfwMfqw/dx25uydozqOENXiEd0S3563gNVK+qSam/Sh02nc28xCv/bhlFqsPP5NKiv3nrXrOdp1q4+nn5v0HjlIpXqOrmXfvn3ccMMNmM3ONy3bZDJdsmxBdY938Z8CuPV9DNN6oe34kdI2g7G27GP3U0i7X12AMYAxMWN4a+NbfJj6Id0iuxHiGVLt40q7qyHtDv4PjyB36W/kzF9AwKhRuDVs6PBzmkwmdBq8MTAak9nCkp1neOTrjUx+oCPXNQ22z0k0iLm5AevmHmTjgkM0jQtGb3Dt3qO/Xu/Vue41qx0XNtmyZQtxcXFOURxNmDCBCRMmYDab2bt3LzNnzsTLy0t1LKfX5sR3tDizkEJjEL+3fpNSvafqSC7HYrUwKW8SJ8wn6GDswF3ed6mOJES11P9iGt579pCd0Im0O++s0XOXWuCLvTp2ZOpw01l5tLWZZpXbIP6KLGY4vcIbS4mOwHZFeEe5bhF8OQUFBQwZMoTs7Gz8/CrX6FIcXUNOTg7+/v6kp6dXunGvxmQysXTpUnr27Cm3Ii9mKsAwuRta5iHMccOx9H3HvoeXdq+QXRm7eODXB7BYLXza41M6R3Su1vGk3dWQdrcp3LyFEw88AAYDjRYuwBjh2I1b/9ruxSYzj87czB/7z+HtrufLofHERgXY5Vzblp9g7Y8H8Qly5+4XO7l079Ff2z0nJ4eQkJAqFUd2va3mzIxGo0M+XBx13DrL6A8DPoSvB6JPnYY+5i5oZN/NI0Ha/Vo6hHVgSKshzNg1g7c2vsWPt/2Iu776GwRLu6vh6u1uTOhEZufOFKxbR86XXxL+0ks1c97z7W40GpkyNIHh0zaw9uA5Hvo6lW9HdqZdff9qn6ND9yi2/HacvIxiDmxMp+0N9e2QvG67uN2rqlIl5s8//3zVx4oVK6ocRIgyTbtBxwdsz38eC6YitXlc1OjY0dTzrMfR3KNM3TZVdRwhqiXksccAyPr+B0xpV99E3RE8jHqmDutEQuNAcotKuX9qMrtOVX9tQIObnrje59c9WnQYc6mse2QPleo5GjRo0DXfI9uHCLvo9R/YtwTO7YdVb8PNNfObnvgfHzcf/pn4T55e+TRTtk3h1ia30ti/sepYQlSJV2ICnnFxFKamkjFtGmHP/bPmM7gZ+GJYAg9MXc/mY1ncPyWZ7x7pTIsw32odt+0NkaQuOUJeRjG71pyi3Y3Se1Rdleo5slgs13w403gjoZBnINz6ru35nx/C6W1q87iono160rV+V0wWE68lvyYb04o6S9M0Qh57FIDMWbMozXDM/mfX4uth5KuHEmlX349z+SUMmZLMofTqbdljcNMT38fWe5Sy6DBmk/QeVVeVRm6dO3eu7PmxY8d46aWXePbZZ1m9erXdgglBm4HQqj9YSm2318ylqhO5HE3T+FfSv3DXu5N8KpmFhxaqjiRElXl37YpHu3ZYCwvJ+PIrZTn8PY1MfyiJVuG+nM0tZsjkdRzLKKjWMdt0jcTb3428zGJ2rbX/qtyuplLF0bZt22jcuDH16tWjVatWbN68mYSEBN5//30mTZpEjx49+OmnnxwUVbikW98Fd384uQm2/6A6jUuK8o1iVIdRALy94W2yi7MVJxKiasr1Hn3zDeZsdddyoLcbM0Yk0byeD6eyi7jn83WcyCqs8vEMRj1xfRoD0ntkD5Uqjp599lnat2/PqlWr6N69O/3796dfv35kZ2eTmZnJqFGjeOuttxyVVbgivwjoMtb2fH3N7I8kLjWs7TCa+jcloyiDj1I/Uh1HiCrz6dED95YtseTnkzF9htIsIT7uzByRRONgL05kFTJk8jrScqo+AaVN1wi8A9zJyyxm558n7ZjU9VSqONqwYQOvv/46Xbp04d133+XkyZM8/vjj6HQ6dDodY8eOZffu3Y7KKlxV3DDQu8GJjXAiVXUal2TUG3mhs21j2jl757Dl7BbFiYSoGk2nK+s9ypg+HXNentI89fw8mDmyM1FBnhw5V8CQyes4m1tcpWMZjBeNPVp8RHqPqqFSxVFGRgbh4eEA+Pj44O3tTWBgYNn3AwMDyc3NtW9CIXxCoc0g2/MNU5RGcWUJ4Qnc1uw2rFj5z9r/UGqRMWCibvLt1Qu3Jk2wZGeTOfNb1XGIDPBk5ojORPp7cOBsPvdPSSYjv6RKx2rTJRKfQHfys6T3qDoqPSD7r1P1Zeq+qBGJj9j+3PY9FKiZZSJgXKdx+Lv7sydzDzN3zVQdR4gq0fR6gkfZPlMypk3DUlC9wdD2EBXkxcyRnann686etFzun5JMdkHltwPRG3XlZq6VmmQGeVVUujgaNmwYgwcPZvDgwRQVFfHoo4+Wff3QQw85IqMQ0KATRMSAuRhSv1adxmUFeQQxLn4cAJ9s/oTT+bIbuKib/Pv3x9igAebMTLLmzFEdB4DGId7MHNmZEB83dp7K4cEvkskpqnyB1Pr6871H2SXs/ENmrlVFpYqjoUOHUq9ePfz9/fH39+f+++8nMjKy7Ot69erx4IMPOiqrcGWa9r/eo41TbTsuCiUGNR9Ex3odKSwt5L/r/6s6jhBVohkMBD8yEoBzU6ZiKa7aOB97a17Ph29GdCbQy8iW49kMn7aB/OLK3cLWG3XE920MQOpi6T2qikqtkD1t2jRH5RDi2trdAUtegKyjsG8pRPdRncgl6TQdL3R+gbt/uZvfjv7GymMr6RbVTXUsISrNf9Ag0j+dSOnp02T/+COB996rOhIA0eG+TH84iSGT15FyJJOHv9rAtGGJeLrpK3yM1tdHkLLoMHmZxexYfZKYm6IcmNj5uO72vaLuMXpCx/ttz2Vav1ItA1vyQFvb/ndvJL9BYWnV12cRQhWdmxvBI0YAkD55MlZT5W9hOUq7+v58/XASPu4G1h3M4JHpGymqRA+Q3nBR79GvRygtkd6jypDiSNQtnR4GNDiwDM4dUJ3GpT3a4VEivCM4mX+SSVsmqY4jRJUE3HkH+pAQSk+eIvvnn1XHKSc2KoAvhyfg5aZn9b50Hv8mlZJKbCzb+voIfIM8KMguYcdqmblWGVIcibolqAm06GV7LtP6lfIyevGvpH8B8NWOr9iXuU9xIiEqT+fhQfD5yUTpn3+OtbR2LVHRqXEQU4cm4GHU8fvuM4yZmYrJXLECydZ7ZJu5Jr1HlSPFkah7LgzM3vQNlFRvw0ZRPd2junNT1E2UWkt5bd1rWKyy6JyoewLvvgt9QACmI0fJWbRYdZxLXNcsmMkPdsLNoGPJzjSenLWZ0goWSK2uO997lCO9R5UhxZGoe5rdBEFNoTgbttWOKbiu7Pmk5/E0eJJ6JpV5++epjiNEpem8vQkaNhSA9EmfYbXUviL/hhahfHZ/HEa9xoKtp3j2+62YLdZr/pzeoKPTrY0BSPn1CCbpPaqQSs1Wc2UmkwmTHQfrXTiWPY/pSnRxw9H/9iLW5M8pbT/ENtW/AqTd7S/YLZjH2j/G+E3jeW/je3QJ70KgR2C590i7qyHtXnE+d93FualfULL/AFmLF+PTs2eVj+Wodr+hWRAf3NWBJ2Zt5cdNJzDo4D8D26DTXf3zr1mnYDYudCc3o5ity4/S4aYGds1VW/y13avT/prVar126emCJkyYwIQJEzCbzezdu5eZM2fi5eWlOpY4z1iaT6/tf8dgLWF1i/8jwydadSSXZraamZg7kdOW08S5xTHYa7DqSEJUWvCSJQQv+52iyAiOPvFEhX/pqmmp6Rpf79NhRaNrmIU7m1iuGTX/mJHM7R7o3CyEd89HV/FVAeqsgoIChgwZQnZ2Nn5+fpX6WSmOriEnJwd/f3/S09Mr3bhXYzKZWLp0KT179sRoNNrtuK5Ev+BJdJtnYGkzCPPtFRucLe3uOFvTtzJ8yXCsWJl8y2Ti68WXfU/aXQ1p98oxZ2VxuHcfrAUFRHzyMd7dqrZ+V020+0+bT/Lsj9uxWmH49Y14vk/Lq27nZTFbmPWfFHLPFdF5UBM63Ox8vUd/bfecnBxCQkKqVBzJbbUKMhqNDrnIHXVcl5A0CjbPQLd7Prqic+AbXuEflXa3v/iIeO5seSdz9s7hrQ1vMWfAHIz68m0s7a6GtHvFGENDCRpyL+emTCVz8mT8b765WvuHOrLd/5bQCLNV47kftzFtzRE83Aw82zv6ynmN0OnWxiyfvpsty47ToUdDjO7O2X10od2r0/YyIFvUXREdIKozWEoh5UvVaQTw97i/E+QRxIHsA3y18yvVcYSotKBhw9Dc3SnaspX8NWtUx7mqexIb8uptbQGYuOIAHy67+nIa0Z3D8QvxoDDXxPaVJ2oiYp0lxZGo2xJteyOxcRqYZdCpav7u/vyj0z8AmLRlEsdzjytOJETlGEJCCLjrLgDOTfxMcZpre/C6xrzQrzUAH/y2j09X7L/ie/V6HZ1ubQLApqVHMBXLzLUrkeJI1G2tB4J3Pcg7Dbvnq04jgP5N+5MYnkiRuYg3kt9AhjWKuib44YfQjEYKNm6kYMMG1XGuacQNTXmmt21SytuL9zBl9cErvjc6KQy/UE8Kc01sWyG/vFyJFEeibjO4Qfww2/P1k5VGETaapvFC5xcw6oysPrGa347+pjqSEJViDA/Hf7BtxmV6Heg9Ahjdozl/v7kFAK8t2MX0tYcv+z6dXkfC+XWPNi09SklR7VoRvLaQ4kjUfZ2Gg6aHI39C2g7VaQTQxL8JD7WzbcnwVvJb5JtkJXNRtwSPHAl6Pflr1lC4ZYvqOBXy5C0teKx7MwBenLeDWRuOXvZ9LRPD8A/1pChPxh5diRRHou7zi4TW/W3Ppfeo1hjRfgRRvlGcKTzDxK0TVccRolLcGtTHf+BAANI/qxsbK2uaxrO9o3moi21c0XM/buPH1Etvnen0Ojr1awzApiXSe3Q5UhwJ53Bhv7Wts6EoW20WAYCHwYMXkl4A4Lu933GyVPZ1EnVL8CMjQacjb/lyinbtUh2nQjRN48X+rbm/c0OsVvjHnC3M33rpv72WCWH41/OkKF/GHl2OFEfCOTTqAqGtwZQPm79VnUacd3396+nbuC8Wq4V5hfMwW2R2jKg73Js0wa9vX6Du9B6BrUB6dWA77u4UhcUKf/9uM7/uOF3uPTq9joR+F2auSe/RX0lxJJyDpkHiCNvzDZOhFm4c6aqeSXgGH6MPJ8wn+PHAj6rjCFEpwaNsvdK5S5ZQvP/K0+RrG51O443B7RncsT5mi5UxM1P5fXdaufe06FSPgDAvivNLpffoL6Q4Es6jwz3g7gfn9sOhFarTiPNCvUIZHTMagI83f0x6YbriREJUnEfLlvj2vAWsVtInfa46TqXodRpv39mBfh0iMJmtPDojldX7zpZ9X6fX0enimWuF0nt0gRRHwnm4+0DMvbbnMjC7Vrmz+Z3U19cnz5THOxveUR1HiEoJfvRRAHIWLKDkyBHFaSrHoNfxwd2x9GoTRkmphZFfb2TdwXNl32+REFbWe7R1ufQeXSDFkXAuCedvre1dDJl160PMmel1egZ6DkSn6Vh4aCFrT65VHUmICvNs2xbvbjeCxUL653Wr9wjAqNfx8ZCO9IgOpchk4aEvN5ByJAOw3X5LOD9zbfNv0nt0gRRHwrmEtoSm3cFqgY1fqE4jLlLfUJ+7W9wNwOvJr1NsLlacSIiKCznfe5Q972dMJ+re2kDuBj0T74+na/MQCkrMDPtiA1uOZQHQvFMYgeFeFBeUsnX5MbVBawkpjoTzuTCtP/VrMBWpzSLKeSzmMUI9QzmSc4Sp26aqjiNEhXl17IjXdZ2htJRzU+vmteth1DP5wU4kNQkit7iUB6Yms/1E9vneI9vMtc2/HaNYeo+kOBJOqGUf8I+CwgzYMVd1GnERH6MP/0z8JwBTtk3hcPZhtYGEqISQRx8DIOv7HzClnVGcpmo83fR8MSyB+EaB5BTZCqQ9p3NpFl/vf71Hv0vvkRRHwvno9LYtRQDW173xAc6uV6NedKnfBZPFxGvJr8nGtKLO8EpMwDMuDmtJCRlf1N3b9t7uBqYNTyCmgT+ZBSbum7KOg+n5JPS39R5tWXaM4gKT4pRqSXEknFPcUNC7wclUOJ6iOo24iKZp/F/S/+Gudyf5VDILDy1UHUmICtE0jZDHbL1HmbNmUZqRoThR1fl5GPn6oSTaRPiRnlfCkMnrMDT0JjDCm+KCUrb87toz16Q4Es7JOwTa2nbVZoNM669tonyjGNVhFABvb3ib7GLZ8kXUDd5du+DRrh3WoiIypn2pOk61+HsZmTEiiZZhPpzJLea+qck07RYJSO+RFEfCeV0YmL39R8iXhQdrm2Fth9HUvykZRRl8vOlj1XGEqBBN0wh5/Hzv0TffYM7KUhuomoK83fhmRGeahnpzMruIZ5L34RfmSUlhKVuWue7YIymOhPNqEA+RHcFcbJu5JmoVo97IC51tG9PO3jObrWe3Kk4kRMX4dO+Oe3Q0loICMqbPUB2n2kJ93Zk5ojONgr04llnIr5ptlu+WZccoynfN3iMpjoRzSxhp+3PjNJBNT2udhPAEBjYbiBUr/1n3H0otMoVY1H6aTkfIo7bbwhnTp2POy1OcqPrC/T2YObIz9QM8+aOwgGw3KCkys8VFZ65JcSScW7vB4BkE2Udh76+q04jLeLrT0/i5+bE7Yzff7v5WdRwhKsS3Vy/cmjbFkpND5kznuG7rB3jy7cjOhPt7sMJgW6TVVXuPpDgSzs3oCXEP2J7LtP5aKcgjiHHx4wD4ZNMnnM4/rTiRENem6fWEjLKNa8yYNg1LQYHiRPbRMNiLmSOTyAwyckZnwVRkJnnxYdWxapwUR8L5dXoY0ODgcji3T3UacRm3t7id2NBYCkoL+O/6/6qOI0SF+PXrhzEqCnNmJpmzZ6uOYzdNQ32YOTKJbQG2Ncg2LztG+jnnKP4qSooj4fwCG9lWzQZ0KdMUhxGXo9N0vHjdi+g1Pb8d/Y2Vx1aqjiTENWkGA8GP2MY1Zkz9Akux8+wX2CLMl9fGJHLOYMVggbc/2kBBieuMCZTiSLiGxBEA6LZ+i94s+63VRi0DW/JgmwcBeCP5DQpLCxUnEuLaAm67DUN4OKVnz5L1ww+q49hVm0h/bri9OQARaaU8OnUDRSbXmNgixZFwDU1vgqBmaMW5NMhcozqNuIJHYx4lwjuCk/knmbRlkuo4QlyT5uZG8AjbL1/npkzBWlKiOJF9db+pIV5hnrihYdmdwyPTU1yiQJLiSLgGnQ4SbB9gTc/+BrKfV63kZfTi+cTnAfhqx1fsz9yvOJEQ1xZw5x3oQ0MoPXmK7F9+UR3HrjRNo9v53qP4EgMbdp9lzMxUSkotipM5ltMXR8eOHaN79+60adOGDh06MGfOHNWRhCqxQ7AavfArOo52bK3qNOIKejTswU1RN1FqLeU/6/6DxercH8Ki7tN5eBA8/CEA0id9jrXUucbmNIkJISTKBzerRmeTkd92neHv322i1Oy8/zadvjgyGAx88MEH7Ny5kyVLlvDkk0+Sn5+vOpZQwTMAS7s7AdBtnKo4jLia5xKfw9PgSeqZVObtn6c6jhDXFHj3XegDAjAdPUreYudaU03TNBL7NwEgsdQNP03Hou2nGTd7C2aLc/bCO31xFBERQWxsLADh4eGEhISQUYd3UhbVY4l/GABtzwLIOak4jbiSCJ8IRseOBmB8yngyizIVJxLi6nTe3gQNGwZAxuTJYHGuXpXGHUIIbeiLxWTh+ab1Meg0ft5ykn/+sBWLExZIyoujVatWMWDAACIjI9E0jZ9++umS90yYMIHGjRvj4eFBUlIS69evr9K5UlJSMJvNREVFVTO1qLPC2pLuHY1mKYWUL1WnEVcxpPUQWga2JKs4i/dT3lcdR4hrCrxvCDo/P0wHD+KzfYfqOHZ1ce9RzvZMPhjUHr1O4/uU4/zfT9uxOtk4TuXFUX5+PjExMUyYMOGy3581axbjxo3j5ZdfJjU1lZiYGHr37s2ZM2fK3hMbG0u7du0ueZw8+b+egYyMDB588EE+/1xWSXZ1h0Jvtj1J+RJKnWtmiTMx6oy82PlFAObun0tKWoriREJcnd7Xl6D77wcgaPlyxWnsr1H7YOo18qW02EzQ8WLG3xWDpsG364/yyi87napAMqgO0LdvX/r27XvF748fP56RI0cyfPhwAD777DMWLFjAF198wXPPPQfA5s2br3qO4uJiBg0axHPPPcf1119/zfcWX7SQV05ODgAmkwmTyX77y1w4lj2PKa7NZDJxyr8TFu8wdHlplO74CWub21XHcnpVvd7bBrZlcPPB/Lj/R15d+yrf9vkWo97oiIhOST5nap7vvfeQPnkyHidPkr9zJ95t2qiOZFdxfRqyeNIOtq04zr3dE3hzUFuem7uDL9ccRq9Z+WfvlmiapiTbX6/36lz3mrUWlXqapjF37lwGDRoEQElJCV5eXnz//fdlrwEMHTqUrKws5s279kBNq9XKkCFDiI6O5t///vc13//vf/+bV1555ZLXZ86ciZeXV0X/KqKWiz71I61O/8Q575b80fIF1XHEVRRYCvgw90Pyrfn09OhJN49uqiMJcVWRX3+Nz46dnOvRnXN9+qiOY1dWK5xZ64UpW49PkxICWhWzJk1j1kE9AL3qW+jXsHaMtyooKGDIkCFkZ2fj5+dXqZ9V3nN0Nenp6ZjNZsLCwsq9HhYWxu7duyt0jD///JNZs2bRoUOHsvFM06dPp3379pd9//PPP8+4cePKvs7JySEqKopevXpVunGvxmQysXTpUnr27InRKL8J15QL7d7o9pexTppPcP5ebo1vCGHtVEdzatW93j0OefDS2pdYbVrNE72eoL5PfQekdD7yOaNGFpD+z+eot3sPiR9+qKwnxVGONs5g8Wc7KDzuwe0jb+BWXzdarjvKfxbsZskJHW1atWR096Y1nuuv1/uFOz9VUauLI3vo2rUrlkrMGnB3d8fd3f2S141Go0M+XBx1XHF1hqAotNYDYMdcjKnTYOBHqiO5hKpe74NaDOKXQ7+w4fQG3k55mwk3T3C6/3AcST5napbfTTdxxs0NTp2idPsOvOI6qo5kV01j6hHW5Bhph3LY9vtJutzZgodvaIbZCm8s3M0Hy/bj6WZgVLdmSvJduN6rc80rH5B9NSEhIej1etLS0sq9npaWRnh4uKJUwmkk2DaMZNscKMxSGkVcnaZpvND5BQw6A6tPrGbZ0WWqIwlxRToPD/LatQUgZ/58xWnsT9M0Es7PXNu+8gT52bZxuo/c2Iyne7YE4M1Fu5n25yFlGaurVvccubm5ER8fz7Jly8rGHFksFpYtW8aYMWNqNIsMyHYO5do9MgFDvTZoZ3ZiTp2OJfFRxemclz2u9yivKIa3Gc7k7ZN5M/lNOoV2wtvoba+ITkk+Z9QwmUzkxMbil7qJnMWLCHrmH2iGWv3fbaVFtPClXmNfzhzOJWXxYa4bbLuN9uiNjSksKeXTlQd55Zed6DUr9ybUzPI5TjUgOy8vj/37bfsndezYkfHjx9OjRw+CgoJo2LAhs2bNYujQoUyaNInExEQ++OADZs+eze7duy8Zi2RPEyZMYMKECZjNZvbu3SsDsp1Uo/TfiT32JXnuYSxr/V/QanVnqsszWU18nPsxGZYMrne/nls9b1UdSYjLM5tp+vobGPLzOf7QQxREt1SdyO6KzupJ3+iFprMS3j0fvbutnLBa4eejOn4/afs8vbeZmc71ar7UqM6AbOXF0YoVK+jRo8clrw8dOpQvv/wSgE8++YR33nmH06dPExsby0cffURSUlKN5MvJycHf35/09HQZkO0ELmn3kjwMH3VAK86h9J7ZWJvdpDqiU7Ln9b7m5BrGrBiDTtMxo/cMWgW1slNK5yOfM2pcaPf4lFRyZ8/Gd+AAwl5/XXUsu7Narfz8/hbSDuXSrnsk19/RrNz3Xlu4h6/XHUXT4N072jMwJsKheS43IDskJKRuzlbr3r37NReOGjNmTI3fRvsrGZDtXMra3RgIsfdB8kQMqV9Aq96qozk1e1zv3Rp1o0/jPiw+vJg3N77J9L7T0ev0dkronORzRg2/Af3JnT2b/N+WoX/1VXQeHqoj2V3igKb88tEWdv15mk59m+Dt/78JTa/c1o5SK8xMPsqzP27H093Ire0dWyCBCwzIFqJGJIyw/bn3V8g8rDSKqJhnEp7Bx+jDtvRt/LDvB9VxhLgsj5gYjPXrYykoIG/FCtVxHCKqdRDhTf0xmyyk/nqk3Pc0TeO129pxZ3wDzBYrT3y7iaU7065wpNpFiiMhQppDs5sAK2yYqjqNqIB6XvUY23EsAB+kfEB6YbriREJcStM0/Pr1AyDbCWetwfk91wbYZq7tWHWS/Kzict/X6TT+e0cHbouNpNRiZfQ3qazYc+Zyh6pVpDgSAv43rX/TdDAVqs0iKuTu6LtpE9yGXFMu72x4R3UcIS7rQnGUv3IV5uxsxWkco0GrQCKa+WMuvbT3CECv03jvbzH0bRdOidnCqOkp/Lm/dv9Co3zMUV0hU/mdwxXbvclNGPyj0LKPUbplDtaYexWkc16Out7/lfAvHvz1QRYeWsiAJgNICq+ZiRp1hXzOqHFxuxubNsGteXNK9u8na/Fi/AYPVpzOMeL6RrHgk2x2rD5B+5si8Q64dDHld+9oR7HJzO97zjLiqw1MfTCehMaBdsvgVFP5ayuZyu96mqfNp+3J2WR5NmZl9CsgKzDXCfML5rOuZB3BumDG+I7BqMnAY1G7BC5fTujiX8lv3pwTI0eojuMQViucTfakJNOAT6MSAtoUX/Z9pRaYskfHriwd7jorj7Ux08TXMZnq9FT+2k6m8juXq7Z7wTnbtH5zMaXDfsVaP15NSCfkyOs9tySXOxbcQXphOqPaj2JU+1F2PX5dJp8zavy13U3Hj3Ok762gaTRe9huG0FDVER3ixJ4sFnyyDb1B456XEy7bewRQZDLzyIxNrD2YgY+7ga+Hx9O+vn+1z+9UU/nrCpnK71wu2+7+4dDuDtgy0zatv3FnNeGcmCOu9yBjEP9M/CfPrHyGL3Z8wYDmA2jk18iu56jr5HNGjbIp5U2a4NmxI4WbNlG4dClBQ4eqjuYQjdqGENkigJP7stj62wluvDf6su8zGo1MHZbAsC82sP5wBsO/SmXWqM60CrdPB4RM5RfC3hLPd3nvmAt5Z9VmERXWu1FvutTvgsli4rV1r11z7TQhappf/wuz1hYoTuI4mqaReH7PtR1/niQvs+iK7/VyM/DF8AQ6Ngwg3M+DYO/L9zKpIsWREBerH297mEtg09eq04gK0jSN/0v8P9z17qw7tY5FhxapjiREOX59+oBeT9G2bZQcPqw6jsPUjw4kskUAllIrKYsvnbl2MR93A18OT+TbRzoT6ivFkRC124Vp/Ru+AHOp2iyiwqL8onikwyMAvL3hbXJKchQnEuJ/DMHBeF9/PQDZC5y39wgoW/do558nyc24cu8RgL+nkSBvt5qIVSky5qiCZCq/c6hQu0f3x+AVjJZznNJdC7BGy+am1VVT1/t9Le/jlwO/cDjnMB9s/IDnE5536PlqO/mcUeNK7e7dpzf5q1eT/ct8/EeORHPSGbH1mvgQ2cKfk/uy2bjwEF3vbl4j55Wp/DVApvK7ttYnZ9MybT5nfdqwpsVzquOISjhoOsgX+V+goTHKZxQNDA1URxICAF1REU3/8xq60lKOPDGW4vr1VUdymOIMPWeTvUCzEt4tH4NnzZcaMpXfgWQqv3OpcLtnH8MwIR7NasE0ag2EtKy5kE6opq/3l9a+xPxD84kOjGZ67+kYdK7ZSS6fM2pcrd1PP/0P8pYsIWDYUEKeflpRwpox/+OtnNybTesu4dxwTwuHn0+m8isgU/mdyzXbPaQptOwLexZg3PQl3CrbU9hDTV3v/0j4B6tOrGJP5h6+P/A9D7R5wOHnrM3kc0aNy7V7wMAB5C1ZQt6ixYQ/+yyaznmH/iYNaMbc91LZsy6NTrc2wS/Ys0bOK1P5hXCkC9P6N38Lxblqs4hKCfYM5qn4pwD4ZNMnnM4/rTiREDbeN96IzteX0rQ0CjZuVB3HoSJbBNCgVSAW87VnrtU2UhwJcSVNukNwCyjJha2zVKcRlTS4xWBiQmMoKC3g7Q1vq44jBAA6Nzd8e/cCIMeJ1zy64MK6R7v/PEVOet3Z1FuKIyGuRKeDhPO9R+sn2zYPEnWGTtPxYucX0Wt6lh5Zyqrjq1RHEgIA//79Acj59VesJSWK0zhWRPMAoloHYrHUrd4jKY6EuJrYe8HoDWd3w+E/VKcRlRQdFM2DbR4E4I3kNygsrTu/uQrn5ZWQgCE0FEt2Nnl//Kk6jsMl9G8KwO41daf3SAZkV5Csc+QcKt3uei907f+GPvVLLMmTMDeQ/daqQuX1PqLtCBYdWsSJvBNM3DSRsbFjazyDKvI5o0ZF2t27d2+yZ8wg65df8Liha01FUyKkoRcNWgVwfHcW6xccpNsQx8z+lXWOaoCscyQu8C08zk27/4UFHUvbjqfILUh1JFFJu0y7+Cb/G3ToGO07mjB9mOpIwsW5HztGo08mYDEaOfDiC1jda9f2GfZWnKnj7Dpv27pHN+Zj8HJ86SHrHDmQrHPkXKra7vrpA9EdXYO5y9NYurv2qstVURuu93GrxrHi+Ao6hnZkyi1TnHZ14ovVhnZ3RRVpd6vVytH+AzAdPUrYW2/i269fDaeseQs/3c7xXZlEdw6j23327z2SdY4UkHWOnEul2z3pETi6Bv3m6eh7PAeG2rcXUF2g8nr/V9K/SD6dzKazm1h4dCGDmg9SkkMF+ZxR41rt7t+/P+mffkr+osUEDRpUc8EUSRrYlOO7Uti7/gwJ/ZrgH+qYuzGyzpEQNaVVf/CNgPwzsOtn1WlEFUT4RPB4zOMAvLfxPTKLMhUnEq7Or7+ttyjvzz8pzXT+6zG8iT8N2wZjtVjZuKh2z1yT4kiIitAbIX647fn6z9VmEVV2X5v7aBHYgqziLN5PeV91HOHi3Js2xaNNGygtJffXX1XHqREX1j3as+40WWcKFKe5MimOhKio+KGgM8CxZDi1RXUaUQVGnZGXOr8EwNz9c0lJS1GcSLg6v/NjjbLnz1ecpGaENfGjUTtb71HKwsOq41yRFEdCVJRvOLS5zfZ8/WS1WUSVxdaL5Y4WdwDw2rrXMJllmrtQx6/fraBpFG5MwXTypOo4NSLhQu/R+rRa23skxZEQlZEw0vbntu+h0PnHCDirp+KfItA9kP1Z+5m+a7rqOMKFGcPD8erUCYCcRYsUp6kZYY39aNT+/NijWtp7JLPVKkgWgXQO1W73iHgM9dqhndmOOeVrLEmP2zGd86pt17uXzosnOz7Jy+teZvLWyfRv1J9Aj0DVseyutrW7q6hsu3v37UvBhg1k/TIfvwcfdGS0WiOuTxRHtp1jb/JpYnrWJ6Be9WeuySKQNUAWgRRX0ih9ObHHppHnVo9lbd4GTTpg6yKL1cLEvImcMp/iOrfr6Ofl/OvMiNpJl59Ps9ffQDObOTzuKUrCXGOR0vSNnhSdNeAVaSIopsjux5dFIB1IFoF0LnZp95J8DB+1RyvOofTu77A2v8W+IZ1Qbb3ek08n89jvj2HQGfih3w9E+UapjmRXtbXdnV1V2v3k2LEUrFhJ4COPEDx2jIMT1g5nj+Yy953NaBr87f/iCQirXgeELAKpgCwC6Vyq1e7GAOj4AKybgCH1C2jd167ZnFltu967RnWlS/0u/HniTz7d9invdntXdSSHqG3t7ioq0+4BAwZQsGIleYsWEfbUky6xgntksyCax9fDy88Nbz9Pu12jsgikEKokPGz7c99SyDioNouolqfinkJD49fDv7L17FbVcYSL8u3RA83LC9OxYxRtdZ3rsNeIttxwd0u8/GrXrgNSHAlRFcHNoPktgBU2TFWdRlRDdFA0A5sNBGB8ynhkpIFQQeflhe9NNwGQPX+B4jQ1p7b2kElxJERVXZjWv2kGlNTOtTpExYzpOAZ3vTspaSmsPL5SdRzhoi5sJ5KzaBFWs1lxGtcmxZEQVdWiJwQ0hKIs2P6D6jSiGsK9w7m/9f0AvJ/yPqWWUsWJhCvy6dIFfUAA5vR0CpKTVcdxaVIcCVFVOj0kjLA9X/85yO2YOu3h9g8T4B7AweyDzN0/V3Uc4YI0oxHfPr0B17q1VhtJcSREdXR8AAwecHorHN+gOo2oBl83Xx6NeRSATzd/SoFJbpWKmuffvz8AuUuWYCkuVpzGdUlxJER1eAVBuzttz9d/rjaLqLa7Wt5FA58GpBem89XOr1THES7IMy4OQ0QElrw88lbK+DdVpDgSoroSz99a2/ET5J1RGkVUj1Fv5O/xfwdg2vZppBemK04kXI2m0+Hf71YAcuTWmjKyCGQFyd5qzsEh7R7aDn1kPLqTKZg3TMPSdZz9ju0k6tL1flPkTbQLbsf2c9v5dNOnPJ/wvOpIVVaX2t2ZVLfdvXr35tyUqeStWEFRRgZ6X197xnNasrdaDZC91URlNMj4k/gjkyg0BrG07XtYNb3qSKIaDpUeYmreVHToGOs7llB9qOpIwpVYrTQa/z7uZ85w+q6/kRMfrzpRnSR7qzmQ7K3mXBzW7qXFGD6OQStIp/SOL7G26m+/YzuBuni9P7XyKVaeWEmPBj1478b3VMepkrrY7s7AHu2eMelzMj75BM/rr6f+pM/snNA5yd5qCsjeas7F7u1uNEL8UFj9HoaUqdD+dvsd24nUpet9XKdxrD65muXHl7MtYxtxYXGqI1VZXWp3Z1Kddg8cOICMTz6hcN06tOxsDCEhdk7nvGRvNSFqk/jhoOng8Go4s1t1GlFNTQOaMrjFYADeS3lPthURNcqtYUM8YjqAxULOosWq47gcKY6EsJeAKIi2zTJhw2S1WYRdPB7zOJ4GT7ae3cpvR39THUe4GP9+ttvzOfPnK07ieqQ4EsKeEs/vt7blOyjKUZtFVFuoVyjD2g4D4IOUDzCZZdaXqDl+ffuATkfhli2UHDumOo5LkeJICHtq0g1CWkJJHmydpTqNsIOhbYcS7BHM0dyjzNk7R3Uc4UIMoaF4d04CIGeBrHlUk6Q4EsKeNA0SzvcerZ8s+605AW+jN4/HPg7AZ1s+I68kT3Ei4Ur8zt9ay54/X8a91SApjoSwt5h7wM0H0vfAoVWq0wg7uL3F7TT2a0xmcSZfbP9CdRzhQnx79URzc6Nk/wGK9+5VHcdlSHEkhL15+NkKJJD91pyEUWfkyfgnAZi+czpp+WlqAwmXoff1xadbN0AGZtckKY6EcISE8/ut7VkIWTKQ0hncFHUTcfXiKDIXMWHzBNVxhAvx63/+1tqCBVgtFsVpXIMUR0I4Qr3W0PgGsFogZZrqNMIONE1jXCfbvnnzDsxjb6bc4hA1w6fbjeh8fCg9eYrCTZtUx3EJUhwJ4SgXpvWnfAWlxWqzCLuICY2hZ6OeWKwWPkj5QHUc4SJ0Hh749uwJ2AZmC8eT4kgIR4nuB76RUJAOO+epTiPs5O9xf8egGVh9YjXJp5JVxxEuwq9/PwByFy3GWo3d5kXFyN5qFWQymTDZ8YK8cCx7HlNcW023uy5uKPqVb2JJnoS5tevut+ZM13ukZyR3tLiDWXtn8d7G95jeezo6rXb+nulM7V6XOKLd3eLi0AcFYc7IIHvVarxvvMFux3YWf2336rS/ZpWFEy5rwoQJTJgwAbPZzN69e5k5cyZeXl6qY4k6xt2UTa8dT6KzmlkR/QrZXk1URxJ2kG/JZ3zOeIop5m9efyPGLUZ1JOECQuf9TOCaNeR07Mjpe+5WHafWKygoYMiQIWRnZ+Pn51epn5Xi6BpycnLw9/cnPT290o17NSaTiaVLl9KzZ0/ZLbsGqWh3/U+PoNvxI5YOQzAP+KhGzlnbOOP1PnXHVCZsmUCEdwRz+8/FTe+mOtIlnLHd6wJHtXvRli0cv/8BNE9Pmqxcgc7T027HdgZ/bfecnBxCQkKqVBzJbbUKMhqNDvlwcdRxxdXVaLsnPQo7fkS380d0fV4Hr6CaOW8t5EzX+9B2Q5mzdw6n8k/x/YHvGdp2qOpIV+RM7V6X2LvdDfHxGBs0wHT8OMV//IHfrbfa7djO5EK7V6fta+eNciGcSVQihLeH0iLYNEN1GmEnngZPxnQcA8DnWz8nuzhbcSLh7DRNKxuYnT1f9lpzJCmOhHA0TYPER2zPN0wBi1ltHmE3A5sNpHlAc3JKcpiybYrqOMIF+J9fEDJv9WrMWVlqwzgxKY6EqAnt7gSPAMg6Avt/U51G2Ilep2dcvG1hyG92fcOJvBOKEwln5968Oe6tWoHJRM6SJarjOC0pjoSoCW5e0PF+23PZb82pdK3flaTwJEwWE59s+kR1HOEC/PrZxhrlyK01h5HiSIiakvAwoNl6js4dUJ1G2ImmaTzV6SkA5h+cz65zuxQnEs7O//xA7IINGzClySbIjiDFkRA1JagpNL/F9nzDVLVZhF21DW7LrU1s/2G9l/IeskKKcCRj/fp4xseD1UrOwkWq4zglKY6EqEkXBmZvngElBWqzCLt6Iu4JjDojyaeS+fPkn6rjCCfnf37WWo7steYQUhwJUZOa3wKBjaEoG7bNUZ1G2FF9n/oMaTUEgPEp4zHLrEThQL59+oDBQNGOHRQfPKQ6jtOR4kiImqTTQcII2/P1k0FuvziVkR1G4uvmy77Mffxy8BfVcYQTMwQG4t3legByFsjAbHuT4kiImhZ7Hxg8IG0bHJNd3Z2Jv7s/j7S33Tr9eNPHFJUWKU4knNmFNY9y5s+XcW52JsWREDXNKwja32l7LtP6nc69re8lwjuCMwVnmLFLVkQXjuN7001oHh6UHDlC0fYdquM4FSmOhFAhYaTtz50/Q65MxXUm7np3xnYcC8DUbVPJKMpQnEg4K523N7439QBkYLa9SXEkhAqRsdAgESwmSP1KdRphZ/2a9qN1UGvyTHl8vlV6B4Xj+F24tbZoEVazTAKwFymOhFDlwrT+jV+A2aQ2i7ArnaZjXCfbtiKzds/iaM5RxYmEs/Lp2hWdvz+lZ85QsGGj6jhOQ4ojIVRpMxC8QyH3FOyW2SbOpnNEZ7rU70KptZSPNn2kOo5wUpqbG369egGQs0BurdmLFEdCqGJwh7ihtufrJ6vNIhziqbin0ND49fCvbD27VXUc4aTKbq39ugRLSYniNM5BiiMhVOo0HDQ9HPkD0naqTiPsLDoomtua3wbAextlWxHhGF6d4jGEhWHJySF/9WrVcZyCFEdCqOTfAFrZ9uRig/QeOaPRsaNx17uTeiaVFcdWqI4jnJCm1+N3fjPabJm1ZhcG1QHqCpPJhMlkv0GzF45lz2OKa6uN7a7FPYRh1y9Yt8yitNsL4OGnOpLd1cZ2rynBbsEMiR7CtJ3TGJ8yns5hnTHoauaj15XbXSUV7e7VuzcZ06aR9/tyirOy0Hl719i5a4u/tnt12l+zSj/vZU2YMIEJEyZgNpvZu3cvM2fOxMvLS3Us4YysVnrs/hd+RSfY2uB+DoX2Up1I2FmRtYjxOeMpsBZwm+dtJLgnqI4knI3VSuN338MtPZ1Td99NblxH1YmUKygoYMiQIWRnZ+PnV7lfOqU4uoacnBz8/f1JT0+vdONejclkYunSpfTs2ROj0Wi344qrq63trtv4Bfpfn8Ua3JzSUWtB01RHsqva2u416ds93/JOyjuEeITw04Cf8DI6/pctaXc1VLV7xsSJZHw6Ea+uXYmc+GmNnbe2+Gu75+TkEBISUqXiSG6rVZDRaHTIRe6o44qrq3XtHjcElv8H7dx+jMf+hGY9VCdyiFrX7jXo3tb38t3e7ziWe4yZe2fyWOxjNXZuV253lWq63QMGDCDj04kUrF2LlpuLISioxs5dm1xo9+q0vQzIFqI2cPeFmHtsz2Vav1My6o38Pe7vAEzbMY30wnTFiYSzcW/SBI927cBsJmfxYtVx6jQpjoSoLRLP77e2dxFkyYrKzqhXo160D2lPYWkhEzdPVB1HOCG//v0AyJkvC8tWhxRHQtQWodHQ5EawWmxbigino2ka4+Jt24r8sO8HDmYfVJxIOBu/vreCplGYmkrJ8ROq49RZUhwJUZtc2G8t9WswFanNIhyiU3gnukd1x2w182HKh6rjCCdjDKuHV2IiADkLFypOU3dJcSREbdKyL/g1gIJzsPMn1WmEgzwV/xR6Tc/vx34nJS1FdRzhZMpurS2QW2tVJcWRELWJ3gCdhtmer/9caRThOE39mzK4xWAAxm8cL9uKCLvy69ULjEaK9+yhaO9e1XHqJCmOhKht4oaB3g1OpNgewik9Hvs4ngZPtqZvZemRparjCCei9/fH58YbAchZILfWqkKKIyFqG59QaDPI9nz9FKVRhOOEeIYwrO0wAD5M/RCTWbb4EPbjXzZrbb70TFaBFEdC1EYXBmZv/wHyz6nNIhxmWNthBHsEczT3KLP3zlYdRzgRn+7d0Xl5YTpxgsLNm1XHqXOkOBKiNmrQCSJiwFwMm6arTiMcxMvoxeOxjwMwacskcktyFScSzkLn6Ylvz1sAWfOoKqQ4EqI20jRIOL8o5IapYDGrzSMcZnCLwTT2a0xmcSbTtk9THUc4Eb9+52+tLVqEtbRUcZq6RYojIWqr9neCZyBkH4V9S1SnEQ5i0Bl4Kv4pAL7e+TWn808rTiSchfd116EPDMSckUH+2nWq49QpUhwJUVsZPaHj/bbnMq3fqfWI6kFcvTiKzcV8utn1dlMXjqEZjfj17QPImkeVJcWRELVZp4cBDQ78Dun7VacRDqJpGuM62bYV+Wn/T+zNlLVphH349e8PQO7SpViKZNX9ipLiSIjaLKgJtOhle75BpvU7s5jQGHo16oUVK++nvK86jnASnrGxGCMjseTnk7dipeo4dYYUR0LUdhem9W+eCSX5arMIh/p73N8xaAb+OPEH607JGBFRfZpO97+B2QvmK05Td0hxJERt1+wmCGoKxdmwVdbCcWYN/RpyV/RdgG1bEYvVojiRcAYXbq3lrViJOSdHcZq6QYojIWo7ne782CNg/WSQ1W6d2qiYUXgbvdmVsYtFhxapjiOcgEd0S9xbtMBqMpG7VLaqqQgpjoSoCzreBwZPOLMDjq5VnUY4UJBHEA+3sxXDH6V+RLG5WHEi4Qwu3FrLni+31ipCiiMh6gLPQOjwN9tzmdbv9O5vcz/1vOpxMv8k3+3+TnUc4QT8zu+1VpC8HtOZM4rT1H5SHAlRV1xYMXvXL5ArCwU6M0+DJ2NixwAwaesksouzFScSdZ1bgwZ4xsaCxULu4sWq49R6UhwJUVdEdICozmAphZQvVacRDjaw2UCaBzQntySXKdtkGQdRfRcGZmfLXmvXJMWREHVJ4vneo43TwGxSm0U4lF6nZ1y8bWHIb3Z9w4m8E4oTibrOr09v0Osp2rqVkiNHVMep1aQ4EqIuaT0QvOtB3mnb7TXh1LrW70pSeBImi4mPN32sOo6o4wwhIXhfdx0A2bKdyFVJcSREXWJwg/hhtufrJyuNIhzv4m1FFhxcwM5zOxUnEnXdhYHZOb/MxyrLglyRFEdC1DWdhoOmh6Nr4PR21WmEg7UJbkO/prb/0MZvHC//oYlq8b3lFjR3d0oOHaJ41y7VcWotKY6EqGv8IqG1bWAlG6T3yBWM7TgWo85I8ulk/jz5p+o4og7T+/jg0707ILfWrkaKIyHqogvT+rfOhsIspVGE49X3qc+QVkMAGJ8yHrPFrDiRqMvKbq0tWIjVIlvUXI7TF0dZWVl06tSJ2NhY2rVrx+TJ8pu2cAKNu0JoazAVwJZvVacRNWBkh5H4uvmyL3MfPx/4WXUcUYf53HgjOl9fSk+fpjAlRXWcWsnpiyNfX19WrVrF5s2bSU5O5o033uDcuXOqYwlRPZoGiSNsz9dPBvntz+n5u/szqsMoAD7Z/AmFpYWKE4m6Sufujm+vnoCseXQlTl8c6fV6vLy8ACguLsZqtcqARuEcOtwD7n6QcQAOLledRtSAe1rdQ6R3JGcKzvDNrm9UxxF1mP/5BSFzFy/GWlKiOE3to7w4WrVqFQMGDCAyMhJN0/jpp58uec+ECRNo3LgxHh4eJCUlsX79+kqdIysri5iYGBo0aMAzzzxDSEiIndILoZC7D8Tca3su0/pdgrvenbFxYwGYsm0KGUUZihOJusorMRF9aAjm7Gzy/pRB/n9lUB0gPz+fmJgYHnroIQYPHnzJ92fNmsW4ceP47LPPSEpK4oMPPqB3797s2bOHevXqARAbG0tpaeklP7tkyRIiIyMJCAhgy5YtpKWlMXjwYO68807CwsIum6e4uJji4v/tgp2dbdvTKCMjA5PJfisSm0wmCgoKOHfuHEaj0W7HFVfndO3e/E6Mqz/Dum0RpQc3g3+U6kSX5XTtrlCSXxLN3JuxN2sv7//xPk92fPKK75V2V6OutLu1W3fyZs3i2JzvCevQQXWcavtru+fm5gJU7W6RtRYBrHPnzi33WmJionX06NFlX5vNZmtkZKT1zTffrNI5HnvsMeucOXOu+P2XX37ZCshDHvKQhzzkIQ8neBw7dqzStYLynqOrKSkpISUlheeff77sNZ1Oxy233MLatWsrdIy0tDS8vLzw9fUlOzubVatW8dhjj13x/c8//zzjxo0r+9pisZCRkUFwcDCaplX9L/MXOTk5REVFcezYMfz8/Ox2XHF10u5qSLurIe2uhrS7Gn9td6vVSm5uLpGRkZU+Vq0ujtLT0zGbzZfcAgsLC2P37t0VOsaRI0d45JFHygZijx07lvbt21/x/e7u7ri7u5d7LSAgoNLZK8rPz0/+8Sgg7a6GtLsa0u5qSLurcXG7+/v7V+kYtbo4sofExEQ2b96sOoYQQggh6gjls9WuJiQkBL1eT1paWrnX09LSCA8PV5RKCCGEEM6sVhdHbm5uxMfHs2zZsrLXLBYLy5Yt47rrrlOYrPrc3d15+eWXL7mFJxxL2l0NaXc1pN3VkHZXw57trlmtaldEzMvLY//+/QB07NiR8ePH06NHD4KCgmjYsCGzZs1i6NChTJo0icTERD744ANmz57N7t27rzgdXwghhBCiqpQXRytWrKBHjx6XvD506FC+/PJLAD755BPeeecdTp8+TWxsLB999BFJSUk1nFQIIYQQrkB5cSSEEEIIUZvU6jFHQgghhBA1TYojIYQQQoiLSHEkhBBCCHERKY5qgcaNG6NpWrnHW2+9pTqWU5owYQKNGzfGw8ODpKQk1q9frzqSU/v3v/99ybXdqlUr1bGczqpVqxgwYACRkZFomsZPP/1U7vtWq5WXXnqJiIgIPD09ueWWW9i3b5+asE7kWu0+bNiwS67/Pn36qAnrJN58800SEhLw9fWlXr16DBo0iD179pR7T1FREaNHjyY4OBgfHx/uuOOOS9ZLvBYpjmqJV199lVOnTpU9xo4dqzqS05k1axbjxo3j5ZdfJjU1lZiYGHr37s2ZM2dUR3Nqbdu2LXdt//HHH6ojOZ38/HxiYmKYMGHCZb//9ttv89FHH/HZZ5+RnJyMt7c3vXv3pqioqIaTOpdrtTtAnz59yl3/3377bQ0mdD4rV65k9OjRrFu3jqVLl2IymejVqxf5+fll73nqqaf45ZdfmDNnDitXruTkyZMMHjy4cieq/L72wt4aNWpkff/991XHcHqJiYnW0aNHl31tNputkZGR1jfffFNhKuf28ssvW2NiYlTHcCmAde7cuWVfWywWa3h4uPWdd94pey0rK8vq7u5u/fbbbxUkdE5/bXer1WodOnSo9bbbblOSx1WcOXPGClhXrlxptVpt17bRaLTOmTOn7D27du2yAta1a9dW+LjSc1RLvPXWWwQHB9OxY0feeecdSktLVUdyKiUlJaSkpHDLLbeUvabT6bjllltYu3atwmTOb9++fURGRtK0aVPuu+8+jh49qjqSSzl06BCnT58ud+37+/uTlJQk134NWLFiBfXq1SM6OprHHnuMc+fOqY7kVLKzswEICgoCICUlBZPJVO56b9WqFQ0bNqzU9e70G8/WBU888QRxcXEEBQWxZs0ann/+eU6dOsX48eNVR3Ma6enpmM3mS1ZVDwsLY/fu3YpSOb+kpCS+/PJLoqOjOXXqFK+88go33HAD27dvx9fXV3U8l3D69GmAy177F74nHKNPnz4MHjyYJk2acODAAf71r3/Rt29f1q5di16vVx2vzrNYLDz55JN06dKFdu3aAbbr3c3NjYCAgHLvrez1LsWRgzz33HP897//vep7du3aRatWrRg3blzZax06dMDNzY1Ro0bx5ptvyt48ok7r27dv2fMOHTqQlJREo0aNmD17Ng8//LDCZEI43j333FP2vH379nTo0IFmzZqxYsUKbr75ZoXJnMPo0aPZvn27Q8YxSnHkIE8//TTDhg276nuaNm162deTkpIoLS3l8OHDREdHOyCd6wkJCUGv118yYyEtLY3w8HBFqVxPQEAALVu2LNtPUTjehes7LS2NiIiIstfT0tKIjY1VlMo1NW3alJCQEPbv3y/FUTWNGTOG+fPns2rVKho0aFD2enh4OCUlJWRlZZXrParsZ72MOXKQ0NBQWrVqddWHm5vbZX928+bN6HQ66tWrV8OpnZebmxvx8fEsW7as7DWLxcKyZcu47rrrFCZzLXl5eRw4cKDcf9LCsZo0aUJ4eHi5az8nJ4fk5GS59mvY8ePHOXfunFz/1WC1WhkzZgxz587l999/p0mTJuW+Hx8fj9FoLHe979mzh6NHj1bqepeeI8XWrl1LcnIyPXr0wNfXl7Vr1/LUU09x//33ExgYqDqeUxk3bhxDhw6lU6dOJCYm8sEHH5Cfn8/w4cNVR3Na//jHPxgwYACNGjXi5MmTvPzyy+j1eu69917V0ZxKXl5eud64Q4cOsXnzZoKCgmjYsCFPPvkkr732Gi1atKBJkya8+OKLREZGMmjQIHWhncDV2j0oKIhXXnmFO+64g/DwcA4cOMCzzz5L8+bN6d27t8LUddvo0aOZOXMm8+bNw9fXt2wckb+/P56envj7+/Pwww8zbtw4goKC8PPzY+zYsVx33XV07ty54iey97Q6UTkpKSnWpKQkq7+/v9XDw8PaunVr6xtvvGEtKipSHc0pffzxx9aGDRta3dzcrImJidZ169apjuTU7r77bmtERITVzc3NWr9+fevdd99t3b9/v+pYTmf58uVW4JLH0KFDrVarbTr/iy++aA0LC7O6u7tbb775ZuuePXvUhnYCV2v3goICa69evayhoaFWo9FobdSokXXkyJHW06dPq45dp12uvQHrtGnTyt5TWFhoffzxx62BgYFWLy8v6+233249depUpc6jnT+ZEEIIIYRAxhwJIYQQQpQjxZEQQgghxEWkOBJCCCGEuIgUR0IIIYQQF5HiSAghhBDiIlIcCSGEEEJcRIojIYQQQoiLSHEkhBBCCHERKY6EEEIIIS4ixZEQQlzFuXPnqFevHocPH77ie7p3786TTz5Z6WPfc889vPfee1UPJ4RwCCmOhBDKdOvWDU3TLnk8+OCDFfr54cOH88ILL1xyvG+//bbc+z7++GMiIyOrlPH111/ntttuo3HjxhX+mWHDhpX7+wQHB9OnTx+2bt1a7n0vvPACr7/+OtnZ2VXKJoRwDCmOhBBKWK1WNm3axLvvvsupU6fKPT799NNr/rzZbGb+/PkMHDiw3PEiIiL44Ycfyr03JSWFuLi4SmcsKChg6tSpPPzww5X+2T59+pT9fZYtW4bBYKB///7l3tOuXTuaNWvGjBkzKn18IYTjSHEkhFBi37595ObmcuONNxIeHl7u4ePjc82fX7NmDUajkYSEhHLHe+GFF1i0aBEFBQVl701NTSU+Pr7SGRcuXIi7uzudO3cuey0/P58HH3wQHx8fIiIirnhbzN3dvezvExsby3PPPcexY8c4e/ZsufcNGDCA7777rtLZhBCOI8WREEKJlJQUDAYDHTp0qNLP//zzzwwYMABN08qO5+HhwYgRI/Dz82PRokUAFBUVsWvXrir1HK1evfqSouqZZ55h5cqVzJs3jyVLlrBixQpSU1Ovepy8vDxmzJhB8+bNCQ4OLve9xMRE1q9fT3FxcaXzCSEcQ4ojIYQSqampmM1mgoOD8fHxKXuMGjUKgAULFjBmzJgr/vy8efPKbqldOF6HDh1wc3Pj9ttv5/vvvwdgy5YtlJaWlhVH8+fPJzo6mhYtWjBlypSrZjxy5Ei5sUp5eXlMnTqVd999l5tvvpn27dvz1VdfUVpaesnPzp8/v+zv5Ovry88//8ysWbPQ6cp/7EZGRlJSUsLp06ev0WJCiJpiUB1ACOGaUlNTuffee3nllVfKvR4UFATA1q1biY2NvezP7tq1i5MnT3LzzTeXO96FAmjw4MEMHjyY4uJiUlNTCQ0NJSoqitLSUsaNG8fy5cvx9/cnPj6e22+//ZLenAsKCwvx8PAo+/rAgQOUlJSQlJRULm90dPQlP9ujRw8mTpwIQGZmJp9++il9+/Zl/fr1NGrUqOx9np6eAOVuAwoh1JKeIyGEEqmpqXTp0oXmzZuXe1xcHO3evZv4+HjatGnD7t27y372559/pmfPnuUKl4vHFXXv3h2j0civv/5abjD2+vXradu2LfXr18fHx4e+ffuyZMmSK2YMCQkhMzOzSn8/b2/vsr9TQkICU6ZMIT8/n8mTJ5d7X0ZGBgChoaFVOo8Qwv6kOBJC1LiDBw+SlZVFTEzMFd+zdetWoqKiSElJ4cknn+Tdd98t+968efO47bbbLjnehSLIYDAwcOBAfvjhh3JF08mTJ6lfv37Zz9WvX58TJ05cMUPHjh3ZuXNn2dfNmjXDaDSSnJxc9lpmZiZ79+695t9Z0zR0Oh2FhYXlXt++fTsNGjQgJCTkmscQQtQMKY6EEDUuJSUFgLCwME6fPl3uYbFYKC4upqCggLFjxwIQGxtLeno6AGfOnGHjxo3lpsWnpKTg5uZGu3btyl674447+Pnnn9mxY0eVBmMD9O7dmx07dpT1Hvn4+PDwww/zzDPP8Pvvv7N9+3aGDRt2yTgigOLi4rK/065duxg7dix5eXkMGDCg3PtWr15Nr169qpRPCOEYMuZICFHjLszuatGiRbnX3d3dycnJYefOnbRu3bqs6Lgw2Brgl19+ITExsVxPS2pqKu3atcPNza3stZ49e2I2mykpKSkrjiIjI8v1FJ04cYLExMQr5mzfvj1xcXHMnj27bKD4O++8U1bk+Pr68vTTT192EcfFixcTEREBgK+vL61atWLOnDl079697D1FRUX89NNPLF68+NqNJoSoMZrVarWqDiGEEBf76quveOONN9i+fTuZmZnceuutLFq0iNDQUAYOHEjXrl159tlnK33c0tJSWrduzYoVK8oGZK9Zs+aKA7LBNmvumWeeYfv27ZftIaqOiRMnMnfu3KuOexJC1DzpORJC1Dpbt26lf//+JCQkYDabGT9+fNmA5a5du3LvvfdW6bgGg4H33nuPHj16YLFYePbZZ69aGAH069ePffv2ceLECaKioqp03isxGo18/PHHdj2mEKL6pOdICCGEEOIiMiBbCCGEEOIiUhwJIYQQQlxEiiMhhBBCiItIcSSEEEIIcREpjoQQQgghLiLFkRBCCCHERaQ4EkIIIYS4iBRHQgghhBAXkeJICCGEEOIiUhwJIYQQQlxEiiMhhBBCiIv8PwlocCguO5y0AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"Simulation duration: {:1.2f} [h]\".format(DL_SIMS[\"duration\"]/3600))\n",
"\n",
"plt.figure()\n",
"plt.xlabel(r\"$E_b/N_0$ (dB)\")\n",
"plt.ylabel(\"BLER\")\n",
"plt.grid(which=\"both\")\n",
"plt.title(\"8x4 MIMO Downlink - Frequency Domain Modeling\");\n",
"plt.ylim([1e-3, 1.1])\n",
"legend = []\n",
"for i, bler in enumerate(DL_SIMS[\"bler\"]):\n",
" plt.semilogy(DL_SIMS[\"ebno_db\"], bler)\n",
" legend.append(\"CDL-{}\".format(DL_SIMS[\"cdl_model\"][i]))\n",
"plt.legend(legend);"
]
},
{
"cell_type": "markdown",
"id": "99bf7240-7362-4ad0-a510-a9ea2af4604d",
"metadata": {},
"source": [
"### Evaluate the Impact of Mobility \n",
"\n",
"Let us now have a look at the impact of the UT speed on the uplink performance.\n",
"We compare the scenarios of perfect and imperfect CSI and 0 m/s and 20 m/s speed.\n",
"To amplify the detrimental effects of high mobility, we only configure a single\n",
"OFDM symbol for pilot transmissions at the beginning of the resource grid.\n",
"With perfect CSI, mobility plays hardly any role. However, once channel estimation is \n",
"taken into acount, the BLER saturates.\n",
"\n",
"If you do not want to run the simulation your self, you skip the next cell and simply look at the result in the next cell."
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "907c645c-2ee8-4158-8016-bac2d6857410",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:00:39.974177Z",
"iopub.status.busy": "2026-02-13T15:00:39.974039Z",
"iopub.status.idle": "2026-02-13T15:01:29.194525Z",
"shell.execute_reply": "2026-02-13T15:01:29.193500Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 7.4422e-02 | 4.9463e-01 | 118884 | 1597440 | 1013 | 2048 | 3.6 |reached target block errors\n",
" 2.0 | 3.3752e-02 | 2.6831e-01 | 107834 | 3194880 | 1099 | 4096 | 0.1 |reached target block errors\n",
" 4.0 | 1.0473e-02 | 9.6147e-02 | 92013 | 8785920 | 1083 | 11264 | 0.3 |reached target block errors\n",
" 6.0 | 2.4705e-03 | 2.5956e-02 | 74982 | 30351360 | 1010 | 38912 | 1.2 |reached target block errors\n",
" 8.0 | 4.3255e-04 | 5.0195e-03 | 34549 | 79872000 | 514 | 102400 | 3.2 |reached max iterations\n",
" 10.0 | 4.6437e-05 | 5.5664e-04 | 3709 | 79872000 | 57 | 102400 | 3.2 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 10.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 7.7012e-02 | 5.0732e-01 | 123022 | 1597440 | 1039 | 2048 | 4.6 |reached target block errors\n",
" 2.0 | 3.2538e-02 | 2.5439e-01 | 103954 | 3194880 | 1042 | 4096 | 0.1 |reached target block errors\n",
" 4.0 | 1.1267e-02 | 1.0156e-01 | 89992 | 7987200 | 1040 | 10240 | 0.3 |reached target block errors\n",
" 6.0 | 2.5505e-03 | 2.6059e-02 | 77411 | 30351360 | 1014 | 38912 | 1.2 |reached target block errors\n",
" 8.0 | 4.0635e-04 | 4.8242e-03 | 32456 | 79872000 | 494 | 102400 | 3.2 |reached max iterations\n",
" 10.0 | 4.6900e-05 | 7.5195e-04 | 3746 | 79872000 | 77 | 102400 | 3.2 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 10.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 2.6261e-01 | 9.9316e-01 | 209755 | 798720 | 1017 | 1024 | 2.6 |reached target block errors\n",
" 2.0 | 2.3925e-01 | 9.6729e-01 | 382187 | 1597440 | 1981 | 2048 | 0.1 |reached target block errors\n",
" 4.0 | 2.0457e-01 | 9.0088e-01 | 326781 | 1597440 | 1845 | 2048 | 0.1 |reached target block errors\n",
" 6.0 | 1.4668e-01 | 7.0898e-01 | 234314 | 1597440 | 1452 | 2048 | 0.1 |reached target block errors\n",
" 8.0 | 8.9719e-02 | 4.6777e-01 | 214980 | 2396160 | 1437 | 3072 | 0.1 |reached target block errors\n",
" 10.0 | 3.5310e-02 | 2.0723e-01 | 141014 | 3993600 | 1061 | 5120 | 0.2 |reached target block errors\n",
" 12.0 | 1.2289e-02 | 7.7825e-02 | 127602 | 10383360 | 1036 | 13312 | 0.4 |reached target block errors\n",
" 14.0 | 2.4506e-03 | 1.6817e-02 | 115485 | 47124480 | 1016 | 60416 | 1.9 |reached target block errors\n",
" 16.0 | 4.6350e-04 | 3.3398e-03 | 37021 | 79872000 | 342 | 102400 | 3.2 |reached max iterations\n",
" 18.0 | 4.0815e-05 | 3.9063e-04 | 3260 | 79872000 | 40 | 102400 | 3.2 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 18.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 2.6948e-01 | 9.9609e-01 | 215236 | 798720 | 1020 | 1024 | 0.0 |reached target block errors\n",
" 2.0 | 2.4645e-01 | 9.8047e-01 | 196848 | 798720 | 1004 | 1024 | 0.0 |reached target block errors\n",
" 4.0 | 2.1699e-01 | 9.3018e-01 | 346622 | 1597440 | 1905 | 2048 | 0.1 |reached target block errors\n",
" 6.0 | 1.6339e-01 | 7.6270e-01 | 261005 | 1597440 | 1562 | 2048 | 0.1 |reached target block errors\n",
" 8.0 | 1.0493e-01 | 5.4785e-01 | 167617 | 1597440 | 1122 | 2048 | 0.1 |reached target block errors\n",
" 10.0 | 5.2529e-02 | 2.9663e-01 | 167825 | 3194880 | 1215 | 4096 | 0.1 |reached target block errors\n",
" 12.0 | 2.3234e-02 | 1.4258e-01 | 129902 | 5591040 | 1022 | 7168 | 0.2 |reached target block errors\n",
" 14.0 | 7.0180e-03 | 4.6254e-02 | 123320 | 17571840 | 1042 | 22528 | 0.7 |reached target block errors\n",
" 16.0 | 2.1532e-03 | 1.5289e-02 | 110066 | 51118080 | 1002 | 65536 | 2.0 |reached target block errors\n",
" 18.0 | 5.0985e-04 | 4.1992e-03 | 40723 | 79872000 | 430 | 102400 | 3.2 |reached max iterations\n",
" 20.0 | 1.6936e-04 | 1.4941e-03 | 13527 | 79872000 | 153 | 102400 | 3.2 |reached max iterations\n",
" 22.0 | 2.3751e-05 | 6.2500e-04 | 1897 | 79872000 | 64 | 102400 | 3.2 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 22.0 dB.\n",
"\n"
]
}
],
"source": [
"torch._dynamo.reset()\n",
"\n",
"MOBILITY_SIMS = {\n",
" \"ebno_db\" : list(np.arange(0, 32, 2.0)),\n",
" \"cdl_model\" : \"D\",\n",
" \"delay_spread\" : 100e-9,\n",
" \"domain\" : \"freq\",\n",
" \"direction\" : \"uplink\",\n",
" \"perfect_csi\" : [True, False],\n",
" \"speed\" : [0.0, 20.0],\n",
" \"cyclic_prefix_length\" : 6,\n",
" \"pilot_ofdm_symbol_indices\" : [0],\n",
" \"ber\" : [],\n",
" \"bler\" : [],\n",
" \"duration\" : None\n",
"}\n",
"\n",
"start = time.time()\n",
"\n",
"for perfect_csi in MOBILITY_SIMS[\"perfect_csi\"]:\n",
" for speed in MOBILITY_SIMS[\"speed\"]:\n",
"\n",
" model = Model(domain=MOBILITY_SIMS[\"domain\"],\n",
" direction=MOBILITY_SIMS[\"direction\"],\n",
" cdl_model=MOBILITY_SIMS[\"cdl_model\"],\n",
" delay_spread=MOBILITY_SIMS[\"delay_spread\"],\n",
" perfect_csi=perfect_csi,\n",
" speed=speed,\n",
" cyclic_prefix_length=MOBILITY_SIMS[\"cyclic_prefix_length\"],\n",
" pilot_ofdm_symbol_indices=MOBILITY_SIMS[\"pilot_ofdm_symbol_indices\"])\n",
"\n",
" ber, bler = sim_ber(model,\n",
" MOBILITY_SIMS[\"ebno_db\"],\n",
" batch_size=256,\n",
" max_mc_iter=100,\n",
" num_target_block_errors=1000,\n",
" target_bler=1e-3,\n",
" compile_mode=\"reduce-overhead\")\n",
"\n",
" MOBILITY_SIMS[\"ber\"].append(list(ber.cpu().numpy()))\n",
" MOBILITY_SIMS[\"bler\"].append(list(bler.cpu().numpy()))\n",
"\n",
"MOBILITY_SIMS[\"duration\"] = time.time() - start"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "fdf4b56a-c37f-47be-a15e-8d44eaf94e18",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:01:29.197159Z",
"iopub.status.busy": "2026-02-13T15:01:29.197021Z",
"iopub.status.idle": "2026-02-13T15:01:29.401410Z",
"shell.execute_reply": "2026-02-13T15:01:29.400531Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.01 [h]\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"Simulation duration: {:1.2f} [h]\".format(MOBILITY_SIMS[\"duration\"]/3600))\n",
"\n",
"plt.figure()\n",
"plt.xlabel(r\"$E_b/N_0$ (dB)\")\n",
"plt.ylabel(\"BLER\")\n",
"plt.grid(which=\"both\")\n",
"plt.title(\"CDL-D MIMO Uplink - Impact of UT mobility\")\n",
"\n",
"i = 0\n",
"for perfect_csi in MOBILITY_SIMS[\"perfect_csi\"]:\n",
" for speed in MOBILITY_SIMS[\"speed\"]:\n",
" style = \"{}\".format(\"-\" if perfect_csi else \"--\")\n",
" s = \"{} CSI {}[m/s]\".format(\"Perf.\" if perfect_csi else \"Imperf.\", speed)\n",
" plt.semilogy(MOBILITY_SIMS[\"ebno_db\"],\n",
" MOBILITY_SIMS[\"bler\"][i],\n",
" style, label=s,)\n",
" i += 1\n",
"plt.legend();\n",
"plt.ylim([1e-3, 1]);"
]
},
{
"cell_type": "markdown",
"id": "8776157e-46c9-4858-80a0-31aa903905be",
"metadata": {
"tags": []
},
"source": [
"### Evaluate the Impact of Insufficient Cyclic Prefix Length \n",
"\n",
"As a final example, let us have a look at how to simulate OFDM with an insufficiently long cyclic prefix.\n",
"\n",
"It is important to notice, that ISI cannot be simulated in the frequency domain as the [OFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/frequency_domain.html) \n",
"implicitly assumes perfectly synchronized and ISI-free transmissions. Having no cyclic\n",
"prefix translates simply into an improved Eb/No as no energy for its transmission is used.\n",
"\n",
"Simulating a channel in the time domain requires significantly more memory and compute which\n",
"might limit the scenarios for which it can be used.\n",
"\n",
"If you do not want to run the simulation your self, you skip the next cell and simply look at the result in the next cell.If you do not want to run the simulation your self, you skip the next cell and visualize the result in the next cell."
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "5688ef1b-cc4e-4548-81f3-71985da01c98",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:01:29.403871Z",
"iopub.status.busy": "2026-02-13T15:01:29.403727Z",
"iopub.status.idle": "2026-02-13T15:09:50.825161Z",
"shell.execute_reply": "2026-02-13T15:09:50.824054Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 6.2710e-02 | 3.0349e-01 | 150263 | 2396160 | 1010 | 3328 | 4.0 |reached target block errors\n",
" 2.0 | 3.2779e-02 | 1.6504e-01 | 145004 | 4423680 | 1014 | 6144 | 0.2 |reached target block errors\n",
" 4.0 | 1.4713e-02 | 7.7589e-02 | 138309 | 9400320 | 1013 | 13056 | 0.5 |reached target block errors\n",
" 6.0 | 5.8361e-03 | 3.2348e-02 | 130160 | 22302720 | 1002 | 30976 | 1.1 |reached target block errors\n",
" 8.0 | 1.9536e-03 | 1.1204e-02 | 125670 | 64327680 | 1001 | 89344 | 3.2 |reached target block errors\n",
" 10.0 | 6.1486e-04 | 3.6172e-03 | 113331 | 184320000 | 926 | 256000 | 9.3 |reached max iterations\n",
" 12.0 | 1.7112e-04 | 1.0039e-03 | 31541 | 184320000 | 257 | 256000 | 9.3 |reached max iterations\n",
" 14.0 | 3.8601e-05 | 2.2266e-04 | 7115 | 184320000 | 57 | 256000 | 9.3 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 14.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 6.1234e-02 | 2.9883e-01 | 158012 | 2580480 | 1071 | 3584 | 16.0 |reached target block errors\n",
" 2.0 | 3.0469e-02 | 1.5475e-01 | 146018 | 4792320 | 1030 | 6656 | 2.7 |reached target block errors\n",
" 4.0 | 1.3978e-02 | 7.3495e-02 | 139124 | 9953280 | 1016 | 13824 | 5.7 |reached target block errors\n",
" 6.0 | 5.8198e-03 | 3.2082e-02 | 130870 | 22487040 | 1002 | 31232 | 15.0 |reached target block errors\n",
" 8.0 | 1.9827e-03 | 1.1334e-02 | 126078 | 63590400 | 1001 | 88320 | 39.4 |reached target block errors\n",
" 10.0 | 6.1925e-04 | 3.5586e-03 | 114140 | 184320000 | 911 | 256000 | 106.3 |reached max iterations\n",
" 12.0 | 1.6430e-04 | 9.7656e-04 | 30283 | 184320000 | 250 | 256000 | 106.1 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 12.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 4.7052e-02 | 2.3116e-01 | 147435 | 3133440 | 1006 | 4352 | 19.5 |reached target block errors\n",
" 2.0 | 2.1706e-02 | 1.1339e-01 | 140029 | 6451200 | 1016 | 8960 | 0.3 |reached target block errors\n",
" 4.0 | 9.3628e-03 | 5.0331e-02 | 134609 | 14376960 | 1005 | 19968 | 0.7 |reached target block errors\n",
" 6.0 | 3.4396e-03 | 1.9243e-02 | 128699 | 37416960 | 1000 | 51968 | 1.9 |reached target block errors\n",
" 8.0 | 1.1564e-03 | 6.6679e-03 | 125119 | 108195840 | 1002 | 150272 | 5.4 |reached target block errors\n",
" 10.0 | 3.2809e-04 | 1.9180e-03 | 60474 | 184320000 | 491 | 256000 | 9.3 |reached max iterations\n",
" 12.0 | 9.8188e-05 | 5.7812e-04 | 18098 | 184320000 | 148 | 256000 | 9.3 |reached max iterations\n",
"\n",
"Simulation stopped as target BLER is reached @ EbNo = 12.0 dB.\n",
"\n",
"EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n",
"---------------------------------------------------------------------------------------------------------------------------------------\n",
" 0.0 | 1.2595e-01 | 5.6306e-01 | 162512 | 1290240 | 1009 | 1792 | 12.4 |reached target block errors\n",
" 2.0 | 8.4326e-02 | 3.9453e-01 | 155429 | 1843200 | 1010 | 2560 | 0.9 |reached target block errors\n",
" 4.0 | 4.8370e-02 | 2.3943e-01 | 151563 | 3133440 | 1042 | 4352 | 1.5 |reached target block errors\n",
" 6.0 | 2.8080e-02 | 1.4188e-01 | 144921 | 5160960 | 1017 | 7168 | 2.4 |reached target block errors\n",
" 8.0 | 1.2779e-02 | 6.7201e-02 | 138973 | 10874880 | 1015 | 15104 | 5.1 |reached target block errors\n",
" 10.0 | 5.5310e-03 | 3.1758e-02 | 125396 | 22671360 | 1000 | 31488 | 11.2 |reached target block errors\n",
" 12.0 | 2.1074e-03 | 1.4540e-02 | 104879 | 49766400 | 1005 | 69120 | 27.0 |reached target block errors\n",
" 14.0 | 8.1327e-04 | 1.0156e-02 | 57712 | 70963200 | 1001 | 98560 | 35.1 |reached target block errors\n",
" 16.0 | 3.4265e-04 | 1.1183e-02 | 22105 | 64512000 | 1002 | 89600 | 30.9 |reached target block errors\n"
]
}
],
"source": [
"torch._dynamo.reset()\n",
"\n",
"CP_SIMS = {\n",
" \"ebno_db\" : list(np.arange(0, 17, 2.0)),\n",
" \"cdl_model\" : \"C\",\n",
" \"delay_spread\" : 100e-9,\n",
" \"subcarrier_spacing\" : 15e3,\n",
" \"domain\" : [\"freq\", \"time\"],\n",
" \"direction\" : \"uplink\",\n",
" \"perfect_csi\" : False,\n",
" \"speed\" : 3.0,\n",
" \"cyclic_prefix_length\" : [20, 2],\n",
" \"pilot_ofdm_symbol_indices\" : [2, 11],\n",
" \"ber\" : [],\n",
" \"bler\" : [],\n",
" \"duration\": None\n",
"}\n",
"\n",
"start = time.time()\n",
"\n",
"for cyclic_prefix_length in CP_SIMS[\"cyclic_prefix_length\"]:\n",
" for domain in CP_SIMS[\"domain\"]:\n",
" model = Model(domain=domain,\n",
" direction=CP_SIMS[\"direction\"],\n",
" cdl_model=CP_SIMS[\"cdl_model\"],\n",
" delay_spread=CP_SIMS[\"delay_spread\"],\n",
" perfect_csi=CP_SIMS[\"perfect_csi\"],\n",
" speed=CP_SIMS[\"speed\"],\n",
" cyclic_prefix_length=cyclic_prefix_length,\n",
" pilot_ofdm_symbol_indices=CP_SIMS[\"pilot_ofdm_symbol_indices\"],\n",
" subcarrier_spacing=CP_SIMS[\"subcarrier_spacing\"])\n",
"\n",
" ber, bler = sim_ber(model,\n",
" CP_SIMS[\"ebno_db\"],\n",
" batch_size=64,\n",
" max_mc_iter=1000,\n",
" num_target_block_errors=1000,\n",
" target_bler=1e-3,\n",
" compile_mode=\"reduce-overhead\")\n",
"\n",
" CP_SIMS[\"ber\"].append(list(ber.cpu().numpy()))\n",
" CP_SIMS[\"bler\"].append(list(bler.cpu().numpy()))\n",
"\n",
"CP_SIMS[\"duration\"] = time.time() - start"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "311b030f-d3d0-4dc7-9fe1-35a83f7c3f8d",
"metadata": {
"execution": {
"iopub.execute_input": "2026-02-13T15:09:50.827407Z",
"iopub.status.busy": "2026-02-13T15:09:50.827265Z",
"iopub.status.idle": "2026-02-13T15:09:51.041262Z",
"shell.execute_reply": "2026-02-13T15:09:51.040325Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.14 [h]\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(\"Simulation duration: {:1.2f} [h]\".format(CP_SIMS[\"duration\"]/3600))\n",
"\n",
"plt.figure()\n",
"plt.xlabel(r\"$E_b/N_0$ (dB)\")\n",
"plt.ylabel(\"BLER\")\n",
"plt.grid(which=\"both\")\n",
"plt.title(\"CDL-C MIMO Uplink - Impact of Cyclic Prefix Length\")\n",
"\n",
"i = 0\n",
"for cyclic_prefix_length in CP_SIMS[\"cyclic_prefix_length\"]:\n",
" for domain in CP_SIMS[\"domain\"]:\n",
" s = \"{} Domain, CP length: {}\".format(\"Freq\" if domain==\"freq\" else \"Time\",\n",
" cyclic_prefix_length)\n",
" plt.semilogy(CP_SIMS[\"ebno_db\"],\n",
" CP_SIMS[\"bler\"][i],\n",
" label=s)\n",
" i += 1\n",
"plt.legend();\n",
"plt.ylim([1e-3, 1]);"
]
},
{
"cell_type": "markdown",
"id": "87f4b0fa-e42e-4362-8a9d-80e09afde14d",
"metadata": {},
"source": [
"One can make a few important observations from the figure above:\n",
"\n",
"1. The length of the cyclic prefix has no impact on the performance if\n",
" the system is simulated in the frequency domain. \n",
" The reason why the two curves for both frequency-domain simulations\n",
" do not overlap is that the cyclic prefix length affects the way the Eb/No is computed.\n",
"2. With a sufficiently large cyclic prefix (in our case ``cyclic_prefix_length = 20 >= l_tot = 17`` ), the performance of\n",
" time and frequency-domain simulations are identical.\n",
"3. With a too small cyclic prefix length, the performance degrades. At high SNR, inter-symbol interference \n",
" (from multiple streams) becomes the dominating source of interference. "
]
},
{
"cell_type": "markdown",
"id": "9d14c4c2",
"metadata": {},
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.12"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}