{
"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",
"import warnings\n",
"\n",
"warnings.filterwarnings(\n",
" \"ignore\",\n",
" message=\"Torchinductor does not support code generation for complex operators.*\",\n",
")\n",
"warnings.filterwarnings(\n",
" \"ignore\",\n",
" message=\"`torch._prims_common.check` is deprecated.*\",\n",
" category=FutureWarning,\n",
")\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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"shell.execute_reply": "2026-08-06T19:09:43.435496Z"
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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."
]
},
{
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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": "2026-08-06T19:09:43.883451Z",
"iopub.status.busy": "2026-08-06T19:09:43.883309Z",
"iopub.status.idle": "2026-08-06T19:09:44.763055Z",
"shell.execute_reply": "2026-08-06T19:09:44.762083Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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rlxo7JyIioteBWu+jY2hoiKNHj+LUqVOIj4/H+PHj8dZbb0FL6//asrCwQEREBI4dO4bU1FTMmzcPbm5u6muaiIiIXhtqfwSETCZDp06d0KlTp5fO0dbWRvfu3WuwKyIiIpICPtSTiIiIJItBh4iIiCSLQYeIiIgki0GHiIiIJItBh4iIiCSLQYeIiIgki0GHiIiIJItBh4iIiCRL7TcMJOXYkBaqhqo91FCTiJ7Hzz5RxbiiQ0RERJLFoENERESSxaBDREREksWgQ0RERJLFk5ElItAyoMZrhiGpxmsSkTx+9okqxhUdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIiUrq9e/fCyMhI6cft2bMnZs6cWen5DDpERERvgIiICMhkMujq6uLhw4dy2+Lj46GhoQGZTIa4uDg1dagaWupugJRjQ1qoGqr2UENNInoeP/tUVTY2Nti2bRsmT54sjoWGhsLOzg7x8fFq7Ew1uKJDRET0Bhk9ejRCQ/8vIJeUlGDz5s0YM2aM3Lxr165BJpOJq0BOTk748ccf5eZkZmZi2LBhsLS0hLm5Od5//33cvXu33LqZmZnw8vJCjx49kJeXh+LiYnz++edo1KgR9PX10bp1a/zyyy9y+2RnZ2Po0KEwNDSEnZ0dpk6dioKCgiq9XwYdIiKi11x2drbcT0VhYMCAAUhISEBERAQA4NChQwCAbt26yc1zdnaGIAgQBAFZWVlYvnw5pk2bhiNHjohzZs+ejYSEBERGRiI+Ph7+/v7YunVrmZr3799H586d0aBBA+zfvx+GhoaYOnUqDhw4gD/++AMPHz7E0qVLMXbsWPzzzz/ifkFBQYiOjkZ4eDgiIiKQmZmJ48ePV+n3hkGHiIjoNWdrawtTU1PxZ8mSJS+dq6+vj6FDh4qrOqGhoRgzZgw0NF4eCfT09PDuu+9i6NCh2LVrlzh+9+5deHp6ws7ODsbGxvjf//6HefPmye0bFxcHLy8veHt7Y+fOndDR0UFaWhpCQkKwfv16uLq6wsDAAL169cKYMWPEvlJTU7Fjxw6sXLkSTk5OqFevHtauXQsTE5Mq/d7wHB0iIqLXXGJiolwA0NXVrXB+QEAAfHx8MHPmTPz5559YsWIFUlJS5OYUFxdj4cKF2LFjBxITE1FYWAgA6NHj/87RGjt2LIYPH45bt26hR48e6NmzJ+zt7cXthYWF8Pb2xoABA7B27Vpx/PLlyygqKoKHhwcAiCtHgiCgffv2AIAbN26gpKREnAMAhoaGcHJyqtLvDYOORARaBtR4zTAk1XhNIpLHzz4BgImJSZVWOtq2bQt7e3sMHDgQnTp1gr29fZmgs2LFCmzduhXbt29H69atYWxsjClTpuDatWvinP79++PmzZvYv38/wsLCMHXqVAQHB4urOtra2ujevTsOHjyI+Ph4NGrUCMCz84IAIDk5GVZWVtV9+xXiV1dERERvoICAAISHh8Pf37/c7WfOnEG/fv3g5eUFY2NjAMCFCxfKzGvYsCEmTJiAXbt24YcffsCSJUsgCAIAQCaTYfPmzfD29sY777yDhIQEAICrqys0NDTE84PK07x5c2hoaIjnEgFAXl4eYmJiqvQ+GXSIiIjeQB9//DEEQcCQIUPK3d6iRQscOnQIt2/fRkZGBubPn4+zZ8/KzRk1ahT27NmDjIwMZGRk4OTJk3B0dIRMJhPnaGhoYMuWLXjrrbfQpUsXJCQkwNraGhMmTMD06dOxb98+5OTk4M6dO1ixYgXWrFkDALC2tsaQIUMwdepUxMTEIC0tDUFBQcjKyqrS+2TQISIiojJmzZoFV1dXtGnTBg4ODrh69SpGjhwpN+eTTz7Btm3b0LRpUzRp0gT379/H77//XuZYz4ed0pWd1atX45NPPsH06dNhYWGBHj164MGDBxgxYoS439q1a9GyZUt4eHjA3d0dderUQZcuXar0PmRC6fqShGVnZ8PU1BStZ/0BTT1DdbejEjv9GtZ4zcG/8Ht6InXjZ1+5ivPzcPXLPsjKyqry1T2VVfp3UmRkZLUfkZCbm4u2bduqtN/XHVd0iIiISLIYdIiIiEiyGHSIiIhIshh0iIiISLIYdIiIiEiy1Bp05s2bhyZNmsj9vPvuu2Xm7du3Dz4+PnB2dsaQIUMQFxenhm6JiIjodaPWR0A8ePAATZs2xbfffiuOvfh8jgMHDuCDDz7AsmXL4OnpiZUrV6JTp06Ijo6Gubl5TbdMRERErxG1P+vK0NAQTZo0een2BQsWYPjw4ZgyZQoAYOvWrbCxsUFISAhmz55dQ10SERHR60jt5+icOnUKrVu3RqdOnTBr1izk5OSI23JycnDx4kW5J6Xq6OjA19cXx48fV0O3RERE9DpR64qOubk5ZsyYgbfffhvJycmYM2cODhw4gIiICOjo6CApKQmCIMDa2lpuP2tra1y9evWlxy0oKEBBQYH4Ojs7W2XvgYiIiGovtQadRYsWQVNTEwDg7u4uPk9j586dGDlypPgYd21tbbn9dHR0UFxc/NLjLlmyBAsXLlRd40RERPRaUOtXV6Uhp1TDhg1hb2+P6OhoAICFhQUA4OHDh3Lz0tPTxW3lCQ4ORlZWlviTmJio5M6JiIjodaD2c3SeV1BQgJSUFNSpUwcAYGVlBVtb2zKPhT99+jQ8PDxeehxdXV2YmJjI/RAREdGbR21fXRUWFmL27NmYOXMm6tati8ePH+Pjjz9GcXEx/Pz8xHnjx4/HypUrMWrUKLRo0QLr16/HnTt3EBgYqK7Wa6UNaaFqqNrj1VOISKX42SeqmNqCjra2Nho2bIjWrVujpKQEmZmZcHV1RVhYGBwdHcV5M2bMQFJSElxdXWFoaAhNTU1s27YNLi4u6mqdiIiIXhNqCzoymQyTJ0/G5MmTkZqaClNTU+jp6ZWZp6mpie+//x7Lli1DRkYGbGxsoKWl9tv/EBER0WugViQGKyurV84xNDSEoaFhDXRDREREUlGrTkYmIiIiUiYGHSIiIpKsWvHVFVVfoGVAjdcMQ1KN1yQiefzsE1WMKzpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWVrqboCUY0NaqBqq9lBDTSJ6Hj/7RBXjig4RERFJFoMOERERSRaDDhEREUkWgw4RERFJFoMOERERSRavupKIQMuAGq8ZhqQar0lE8vjZJ6oYV3SIiIhIshh0iIiISLIYdIiIiEiyGHSIiIhIshh0iIiISLIYdIiIiEiyGHSIiIhIshh0iIiISLIYdIiIiEiyGHSIiIhIshh0iIiISLIYdIiIiEiy+FBPIiIiNdicvhW6T3SrdYyCvAIAQLt27aCpqYmgoCAEBQUpoz3JYNAhIiJ6zYWHh8PExETdbdRK/OqKiIiIJEuhoLNp06Zyx58+fYo5c+ZUqyEiIiIiZVHoq6uPP/4Yf/31F9atWwczMzMAwM2bNzFs2DDcv38fixcvVmqT9Gob0kLVULWHGmoS0fP42SeqmEIrOhcvXsSdO3fQunVrHDt2DBs2bIC7uzvs7Oxw9epVZfdIREREpBCFVnSaNWuGs2fP4uOPP0bXrl2hqamJH374AWPHjlV2f0REREQKU/hk5H///Rf79+9HmzZtYGhoiH379iEtLU3hRp4+fYqkpCRkZWWVu72wsBDp6ekQBEHhGkRERPRmUSjoTJ8+HT179sSYMWNw4cIFXLlyBY8ePYKLiwsOHjyoUCPjxo2Dra0t5s+fLzdeUlKCTz75BHXq1IG9vT0aNmyIPXv2KFSDiIiI3iwKBZ1du3bh6NGjWLx4MbS0tGBvb4/jx4/jo48+Qr9+/ap8vJ9//hnR0dFo1apVmW0rVqzApk2bcObMGWRnZ2PGjBnw8/NDTEyMIq0TERHRG0Shc3SuXLkCU1NTuTFNTU3MmTMH3bt3r9Kxbt++jU8++QQnTpzAwIEDy2xfu3Ytxo4dCzc3NwDApEmTsGbNGqxfvx4rV65UpH1JCrQMqPGaYUiq8ZpEJI+ffaKKKbSiUxpynjx5UmZlpX379pU+TmFhIQYPHozPP/8cTZs2LbP9wYMHiI+Ph5eXl9y4t7c3Lly4oEDnRERE9CZRKOjk5uZi+PDhMDIygpOTkzg+aNAgREZGVvo4wcHBaNiw4Uuv1io9udnCwkJu3MLCosITnwsKCpCdnS33Q0RERG8ehYJOcHAwkpOTER4eLjc+evRoLFy4sFLHOH78ODZt2oT58+cjKSkJSUlJePr0KXJzc5GU9GxZVEPjWXtFRUVy+z59+hSampovPfaSJUtgamoq/tja2lbl7REREZFEKHSOzp49e/Dvv//C0dFRbrxjx47w8/Or1DHu3r0LAwMD9O7dWxx78OABEhIScOjQIcTHx6NBgwYAgJSUFLl9U1NTxW3lCQ4OxrRp08TX2dnZDDtERERvIIVWdNLT01GvXj0AgEwmE8efPHlS6fvcjB49WlzJKf1xcnJCQEAAkpKSoKmpCRMTE7i5ueHIkSPifkVFRQgLC0Pnzp1femxdXV2YmJjI/RAREdGbR6Gg4+bmJt4v5/mgs3r1anTo0EE5nf1/c+fOxZYtW7Bu3TpcvXoV/v7+AIAJEyYotQ4RERFJj0JfXS1evBj9+/fHmTNnAABLly7FoUOHcPr0aRw9elThZqysrFCnTh25sf79+2Pbtm1YvXo1vv76a7i4uODEiROwtLRUuA4RERG9GRQKOr6+vvj777/x1VdfwdraGqtWrYK7uztOnDgBT09PhZv5+++/yx338/Or9Lk/RERERKUUCjoA4OnpiX379imzFyIiIiKlUvihnkRERES1XaVXdKytrSt90BcvByciIiJSh0oHnVWrVom/jomJwdKlSzF8+HC0a9cOABAeHo5t27ZhxowZSm+SiIiISBGVDjqDBw8Wf921a1ds3boVgwYNEsc+/PBDdO/eHevWrVNuh0REREQKUugcncjISPTs2bPMeM+ePav0rCsiIiIiVVIo6BgZGeHPP/8sM37gwAEYGxtXuykiIiIiZVDo8vLZs2dj9OjR+Ouvv9CuXTsIgoCIiAj88ssvWLNmjbJ7JCIiIlKIQkFn4sSJaNasGVauXIlvvvkGAODk5ISDBw/Cx8dHqQ1S5WxIC1VD1R5qqElEz+Nnn6hiCt8w0NfXF76+vsrshYiIiEipeMNAIiIikiyFgk5CQgLef/991KtXD1paWmV+iIiIiGoDhVKJv78/CgsLsXr1apiZmSm7JyIiIiKlUCjonDt3DnFxcVV6LAQRERFRTVMo6NjY2EBDg6f31CaBlgE1XjMMSTVek4jk8bNPVDGF0oq/vz9mz56NwsJCZfdDREREpDQKrej89NNPiImJwS+//AJbW1vIZDK57deuXVNKc0RERETVoVDQGTdunLL7ICIiIlI6hYLOlClTlNwGERERkfJVKejk5uZWap6RkZFCzRAREREpU5WCTmWfTC4IgkLNEBERESlTlYLOrl27VNUHERERkdJVKeh88MEHquqDiIiISOl41z8iIiKSLAYdIiIikiwGHSIiIpIshYJOZS8zJyIiIlInhYKOiYmJsvsgIiIiUjqFgo6VlRVSUlKU3QsRERGRUikUdIKCgjB9+nR+hUVERES1mkLPutqxYwdiYmLw22+/wdbWFjo6OnLb+fRyIiIiqg349HKJ2JAWqoaqPdRQk4iex88+UcX49HIiIiKSrGrdR+fJkyeIiYlRVi9ERERESqXwfXSGDx8OIyMjODk5ieODBg1CZGSk0pojIiIiqg6Fgk5wcDCSk5MRHh4uNz569GgsXLhQKY0RERERVZdC5+js2bMH//77LxwdHeXGO3bsCD8/P6U0RkRERFRdCgWd9PR01KtXDwAgk8nE8SdPnkAQBOV0RlUSaBlQ4zXDkFTjNYlIHj/7pCzLli1Damoqli9fXu7r15VCX125ubnh4MGDAOSDzurVq9GhQwfldEZERERKExMTAw8PD3h4eKBdu3bo2bMnZs2ahfT0dABAfHw84uLixPkvvq6MJUuWYMaMGUrtu7oUWtFZvHgx+vfvjzNnzgAAli5dikOHDuH06dM4evSoUhskIiKi6svLy0NkZCR27tyJxo0b4969e5g7dy727t2LyMhIfPbZZ3j69Gm1asTHx4vBqbZQKOj4+vri77//xldffQVra2usWrUK7u7uOHHiBDw9PZXdIxERESlJq1at4OzsDACoX78+2rVrh9OnT+PSpUuv/Krq0KFDWL9+PVJTU9G0aVNMnz4drVq1AgCEhIRg9+7dKCoqgoeHBwDg+++/R8OGDfH111/jypUrqFu3LoYOHYr+/fur/o3+fwoFHQDw9PTEvn37lNkLERER1SArKysAQGZmJuLj45GU9PLzr/bv348BAwZgwYIF6NChA3bs2IGOHTsiKioK9vb26Nu3L/755x88evQIS5cuBQA0b94cnTt3hqOjI+bOnYvc3Fxs374dhoaG6NGjZu6wrXDQISIiotohOztb7rWuri50dXVfuV9ISAi0tbXRrl07nDhxosK5wcHBCAoKwqxZswAAPj4+iIqKwhdffIENGzagfv36sLS0hEwmE1d08vPzcfnyZWzcuBFt2rQBAPTp0wcFBQWKvE2FVDro2NvbAwDu3r0r/vpl7t69W42WiIiIqCpsbW3lXs+fPx8LFiwod+7gwYOhp6eHlJQUFBQUIDQ09JV/r+fn5+P69etlvtbq2bMnDhw48NL99PT04OXlhbFjx+Kjjz7CO++8A3t7+0qFMGWpdNCZM2dOub8mIiIi9UpMTISJiYn4uqIgMXfuXDRp0gRmZmaws7ODltaro0Bubi4EQYChoaHcuJGREXJycirc98iRI9i0aRP27t2LqVOnokWLFtixY0eZe/GpSqWDztixY8VfDx48GEZGRippiIiIiKrGxMRELuhU5PmTkSvLwsICpqamuH79Ojp16iSOR0dHo3HjxuJrDQ2NMvfT09fXx8SJEzFx4kQ8fvwY3bt3x+eff47NmzdXqQdFKXQfncr+ZlZGbm4ujh07hv379+P27dvlzikuLsbJkyfx22+/ITY2Vmm1iYiIqHLGjh2LFStWICUlBQBw4cIF/Prrrxg3bpw4x9raWu6E5pSUFCxfvhz5+fkAAB0dHWhoaEBPT6/G+lYo6FhZWYlvtDrWr18PFxcXfPXVV/jhhx/g6uqKkSNHori4WJyTmZkJT09PDBs2DKGhofDw8MCnn35a7dpERERUeQsWLICzszMcHR3RrFkzvP3225gyZYrcpeJDhw5FQkICHB0d4eHhgbi4OKSmpsLa2hqtWrWCtbU1iouLMX/+/BrrW6GrroKCgjB9+nSEhIRU6yssKysrXLt2TfzOLzo6Gs7OzhgwYAD69u0LAJg9ezays7MRHR0NY2NjnDlzBt7e3ujRowe6deumcG0iIqI3iZOTE8LDw9GkSZNyt794w8AXXxsZGWH37t1ITU1Famoq7O3ty3zD06RJE8THx+Pu3bvIzs5G8+bN4e3tjS+++AK3b9+GmZkZrK2tVfMGX0KhoLNjxw7ExMTgt99+g62tLXR0dOS2X7t2rVLHKQ0zpezt7aGlpYXHjx8DAARBwM8//4xZs2bB2NgYAPDWW2+hffv22L59O4MOERFRJRkYGIiXfZfHzs6uwtelrKysxPvvlEdHRwfNmjUrM9ayZcsqdKs8CgWd57+Pq6779+8jLCwM2dnZ2L59O/r06YMBAwYAeHYW+aNHj8qcNOXi4oKLFy++9JgFBQVy1+i/eH8BIiIiejMoFHSaNGmC3r17K6WBtLQ0HDp0COnp6bh9+za6desmXuqWlZUFADAzM5Pbx9zcXNxWniVLlmDhwoVK6Y+IiIheXwoFnX79+uHp06dyTy5XVOvWrbFt2zYAQGxsLDw8PGBjY4MPP/wQ+vr6AJ5dmfW8nJwccVt5goODMW3aNPF1dnZ2mZspERERkfQpdNVV48aNcf36dWX3gubNm8Pd3R2nT58G8OxOj9ra2oiPj5ebFx8fX+GNhnR1dcV7ClTl3gJEREQkLQqt6Hz22WcYMWIEvv76azg5OZU5GdnCwuKVxygqKsLDhw/lTmjKyclBbGyseDMiXV1d+Pj44Ndff0VAQACAZ191HT16FKtXr1akdcnakBaqhqo180A2Ino5fvaJKqZQ0Cm9S/LLrnp68a6I5SkuLsY777yD7t27w8nJCY8ePcLWrVthamqKyZMni/OWLl0KLy8vDBkyBJ6enti4cSOcnZ0xevRoRVonIiKiN4hCQefSpUvVLqyrq4uIiAhs27YNly5dgqGhIYKDgzFo0CBoa2uL81q3bo3Lly8jNDQUV65cwejRozFu3Lgyq0hEREREL1Io6Li5uSmluIGBQaUuVW/cuDG+/PJLpdQkIiKiN4dCJyMTERERvQ4UWtEpKSlBaGgodu3ahYSEBBQVFcltj4uLU0pzRERERNWhUND56quvEBISgqCgIAQHB2PlypW4cOECfvnlF3z88cfK7pEqIdAyoMZrhiHp1ZOISKX42SeqmEJBp3Q1p2PHjggODsaUKVMAAJ07d8aePXuU2R8RERGRwhQ6Ryc+Ph5t27YFAOjr6yMnJwfAs8ezl97sj4iIiEjdFAo6xcXF4iXgjRo1wtmzZwEAd+7cga6urvK6IyIiIqoGhb66el5gYCAGDx6Mzp0748yZMxg0aJAy+iIiIiKqNoWCTulXVQAwbdo0NGjQAGfPnkXPnj3FuyYTERERqZtCQcfIyEjutZ+fH/z8/JTSEBEREZGyKHSOTm5uLn7//fcy47///jtyc3Or3RQRERGRMigUdD777DM8ePCgzPiDBw8wc+bMajdFREREpAwKBZ1ff/213JOOBw0ahN9++63aTREREREpg0JBp6ioCFlZWWXGHz16hCdPnlS7KSIiIiJlUCjodO3aFTNnzpQLNU+ePMFnn32Grl27Kq05IiIioupQ6KqrZcuWoVOnTnBwcICHhwcEQUBERAQ0NTVx8uRJZfdIREREpBCFVnQaN26MqKgofPLJJzA2NoapqSk+/fRTXLt2DY0bN1Z2j0REREQKUfjOyHXr1sX06dOV2QsRERGRUikcdB49eoRNmzYhJiYGAODk5ITRo0ejTp06yuqNiIiIqFoU+urq9OnTcHBwwIoVK3D//n3cv38fy5cvh6Ojo/iATyIiIiJ1U2hFZ+LEiRg1ahSWL18OLa1nhygqKsKnn36KiRMn4tKlS0ptkl5tQ1qoGqr2UENNInoeP/tEFVNoRefmzZuYN2+eGHIAQEtLC3PnzkVsbKzSmiMiIiKqDoWCTtOmTREfH19mPCEhAU2bNq12U0RERETKUOmvrtLT08Vff/TRRxg4cCC+/PJLtGvXTryPzqxZszBjxgyVNEpERERUVZUOOpaWlmXG/Pz8yoyNGzcOgYGB1euKiIiISAkqHXR4gjERERG9bioddNzc3FTYBlVXoGVAjdcMQ1KN1yQiefzsE1VMocvLb9y4UeH2Fi1aKNQMERERkTIpFHRatmxZ4XZBEBRqhoiIiEiZFAo6iYmJcq9LSkpw69YtTJs2DZMmTVJKY0RERETVpVDQadiwYZkxOzs7/PTTT/D390dAQM1/Z0xERET0IoVuGPgyjo6Orzx/h4iIiKimKPz08hdlZmZiyZIlsLe3V9YhiYiIiKpFoaAjk8nKHbewsMDOnTur1RARERGRsigUdI4cOVJmzMzMDC1btoSBgUG1myIiIiJSBoWCjq+vr7L7ICIiIlK6KgedvLw8GBoaiq8fPHiA1atXIzMzE3379kWPHj2U2iARERGRoqp01dWRI0cwYMAA8XV+fj68vb2xZs0aHD16FO+++y727t2r7B6JiIiIFFKloPPNN9/g008/FV/v27cPycnJuHr1Km7cuIEvv/wS33zzjdKbJCIiIlJElYJOeHg42rVrJ74+evQoevToAQcHBwCAv78/YmJilNshERERkYKqFHSKi4tRWFgovj537hw6duwovtbX10d+fr7yuiMiIiKqhioFHVdXV6xduxYAcOHCBURFRcldgRUbG/vKB34SERER1ZQqXXU1d+5cvPvuu/j++++RmZkJX19fuLu7i9t37NiBYcOGKb1JIiIiIkVUKej4+PggIiICBw8ehLm5OUaMGCG3vVGjRhgzZoxSG6TK2ZAWqoaqvJUAkbrxs09UsSrfR8fFxQUuLi7lbps0aVK1GyIiIiJSFqU+vZyIiIioNmHQISIiIslS6FlXylJSUoL9+/fjzJkz0NLSgre3N3r16lVmXkJCArZs2YLU1FS4uLhg9OjR0NXVVUPHREREynHihA809QxfPbECxfl5AFajXbt20NTURFBQEIKCgpTToESobUWnpKQELi4u2Lx5M+rWrQttbW2MHDkSI0eOlJt3/fp1uLq64uLFi7C1tcWaNWvQtWtXPH36VE2dExER1S7h4eG4fv06Q0451LaiI5PJsGfPHjRr1kwce/vtt9G1a1dMmzYNbm5uAIAZM2bA3d0du3fvhkwmw8iRI+Hg4ICffvoJ/v7+auq+9gm0DKjxmmFIqvGaRCSPn32iiqltRUcmk8mFHABo3rw5ACA1NRUAUFhYiL///huDBw+GTCYDANjY2OCdd97B/v37a7ZhIiIieu2o9RydF61fvx5GRkZo3749gGfn5jx9+hT29vZy8xwcHHDy5MmXHqegoAAFBQXi6+zsbJX0S0RERLVbrbnq6uDBg1i8eDFWr14NMzMzAMCTJ08AAMbGxnJzjY2NxW3lWbJkCUxNTcUfW1tb1TVOREREtVatCDphYWH44IMP8MUXX8idd2NiYgIAyMzMlJufkZEhbitPcHAwsrKyxJ/ExETVNE5ERES1mtqDzrFjx9CnTx/MnTsXM2bMkNtma2sLExMTXL9+XW48Ojoazs7OLz2mrq4uTExM5H6IiIjozaPWoHPixAn07t0bc+bMQXBwcJntGhoa8PPzw8aNG5GXlwfg2SV0586dw5AhQ2q6XSIiInrNqO1k5NzcXPTu3RtGRka4ffs2xo4dK24bPXo0vL29AQBffvklfHx84OrqitatWyMsLAwTJkwo98aCRERERM9TW9DR1tbGypUry91maWkp/trCwgIRERE4duwYUlNTMW/ePPEeO0REREQVUVvQ0dXVlVvFqYi2tja6d++u4o6IiIhIatR+MjIRERGRqjDoEBERkWQx6BAREZFkMegQERGRZDHoEBERkWQx6BAREZFkMegQERGRZDHoEBERkWSp7YaBpFwb0kLVULWHGmoS0fP42SeqGFd0iIiISLIYdIiIiEiyGHSIiIhIshh0iIiISLJ4MrJEBFoG1HjNMCTVeE0iksfPPlHFuKJDREREksWgQ0RERJLFoENERESSxaBDREREksWgQ0RERJLFoENERESSxaBDREREksWgQ0RERJLFoENERESSxaBDREREksWgQ0RERJLFoENERESSxaBDREREksWgQ0RERJLFoENERESSxaBDREREksWgQ0RERJKlpe4GSDk2pIWqoWoPNdQkoufxs09UMa7oEBERkWQx6BAREZFkMegQERGRZDHoEBERkWTxZGSJCLQMqPGaYUiq8ZpEJI+ffaKKcUWHiIiIJItBh4iIiCSLQYeIiIgki0GHiIiIJItBh4iIiCSLQYeIiIgki0GHiIiIJItBh4iIiCSLQYeIiOgNEB0dDWdnZzg7O6N169bw9PTE4MGDsW7dOuTm5lb5eKdPn4abm5vyG1UytQadkpISHDhwAL1790aTJk1w/vz5cuft27cPPj4+cHZ2xpAhQxAXF1fDnRIREb3enjx5gujoaCxevBg7duzAqlWr0K1bN/zwww9o1aoVYmNjq3S8nJwcXLt2TUXdKo9ag86MGTMQEhKCvn374vbt23jy5EmZOQcOHMAHH3yA//3vfwgNDYUgCOjUqRMyMjLU0DEREdHrrUmTJnB2dkaHDh0QEBCA8+fPo379+hg2bJg4Jy4uTlz9adu2LQYNGoTTp0+L26OjozF+/HgUFxeL87788stX7qcOan3W1RdffAEdHR0kJb38uSkLFizA8OHDMWXKFADA1q1bYWNjg5CQEMyePbuGOiUiIpImHR0dzJw5E/369UN0dDRatWoFW1tb7Ny5EwCQn5+Po0ePomvXrrhw4QJcXV3RuHFjBAcHIygoSJxXt25dmJubV7ifOqg16Ojo6FS4PScnBxcvXsSnn34qt4+vry+OHz/OoENERAQgOztb7rWuri50dXUrvX/puTaxsbFo1aoVdHV14ezsLG738PBAVFQUfvzxR3z77bfQ09NDo0aNAEBu3ouvX9xPHWr108uTkpIgCAKsra3lxq2trXH16tWX7ldQUICCggLx9Yv/AxAREUmJra2t3Ov58+djwYIFld5fW1sbAFBYWCiO/frrr9ixYweSkpKQn5+P1NRUdOjQ4ZXHUnQ/VanVQaekpATA//0HKKWjo4Pi4uKX7rdkyRIsXLhQpb0RERHVFomJiTAxMRFfV2U1BwDi4+MBAA0aNAAAbNmyBZMnT8bSpUvRunVrGBsbY9myZUhOTq7wOIrup0q1OuhYWFgAAB4+fCg3np6eLm4rT3BwMKZNmya+zs7OLpN2iYiIpMLExEQu6FTV9u3bYW5ujnbt2gEA9u/fj5EjR+LDDz8U5zx48EBuH01NTQiCIDdWmf1qWq2+j46VlRVsbW1x9uxZufHTp0/Dw8Pjpfvp6uqK/9Gr+x+fiIhIqnJycvDll18iJCQEy5cvh56eHgDA0tISkZGRyM/PBwDs2rULf//9t9y+1tbWKCkpQWJiojhWmf1qWq1e0QGA8ePHY+XKlRg1ahRatGiB9evX486dOwgMDFR3a7XKhrRQNVTtoYaaRPQ8fvapqt5//33o6uri8ePHSElJQbt27XDgwAH06tVLnDNr1iz06tULNjY20NfXh5GREXr27Cl3Do+Liwv+97//wdnZGba2thg6dGil9qtpag06u3fvxmeffSaebzNs2DDo6+tj0qRJmDRpEoBn99pJSkqCq6srDA0NoampiW3btsHFxUWdrRMREb1WnJ2dERUVBQCQyWQwMDBAgwYNyr0C2tbWFlFRUUhMTIRMJoOtrS1SU1PL3O/ujz/+wIMHD5CWlgZzc3PY2NhUar+apNag061bNxw6dKjMuLm5ufhrTU1NfP/991i2bBkyMjJgY2MDLa1avxBFRERUq+jp6ZW5FLwiMpkMdnZ24msrK6ty59WrVw/16tWr8n41Ra2JwdjYGMbGxpWaa2hoCENDQxV3RERERFJSq09GJiIiIqoOBh0iIiKSLJ7sIhGBlgE1XjMML39GGRHVDH72iSrGFR0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLAYdIiIikiwGHSIiIpIsBh0iIiKSLC11N0DKsSEtVA1Ve6ihJhE9j599oopxRYeIiIgki0GHiIiIJItBh4iIiCSLQYeIiIgki0GHiIiIJItXXUlEoGVAjdcMQ1KN1yQiefzsE1WMKzpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWQw6REREJFkMOkRERCRZDDpEREQkWVrqboCUY0NaqBqq9lBDTSJ6Hj/7RBXjig4RERFJFoMOERERSdZrE3QKCwuRnp4OQRDU3QoRERG9Jmp90CkpKcEnn3yCOnXqwN7eHg0bNsSePXvU3RYRERG9Bmp90FmxYgU2bdqEM2fOIDs7GzNmzICfnx9iYmLU3RoRERHVcrX+qqu1a9di7NixcHNzAwBMmjQJa9aswfr167Fy5Ur1NleLBFoG1HjNMCTVeE0iksfPPlHFavWKzoMHDxAfHw8vLy+5cW9vb1y4cEFNXREREdHrolYHnbS0NACAhYWF3LiFhYW4rTwFBQXIzs6W+yEiIqI3T60OOhoaz9orKiqSG3/69Ck0NTVfut+SJUtgamoq/tja2qq0TyIiIqqdavU5Og0aNAAApKSkyI2npqaK28oTHByMadOmia+zsrJgZ2eH4oLHqmm0FsjNza3xmsX5eTVek4jk8bOvXKV/T9TErUyU8XeSlP9eUxaZUMtvTNOmTRu0bdsWP/74I4Bnqzs2Njb4+OOPMW/evEodIykpias6RERUaYmJiWjYsKFKjp2fnw8HB4cy/4hXlImJCWxsbKChoYGgoCAEBQUp5bhSUeuDzu7du+Hn54fvvvsOnp6eWL58Of766y9cv34dlpaWlTpGSUkJ7t27B2NjY8hkskrXzs7Ohq2tLRITE2FiYqLoW2A9Ndbke3z966mjptTrqaPm61JPEATk5OSgfv364ukTqpCfn4/CwkKlHEtHRwd6enpKOZYU1eqvrgCgf//+2LZtG1avXo2vv/4aLi4uOHHiRKVDDvDsXJ/qJHMTE5Ma+8PnTainjpp8j69/PXXUlHo9ddR8HeqZmpqqqJv/o6enx3BSQ2p90AEAPz8/+Pn5qbsNIiIies3U6quuiIiIiKqDQacCurq6mD9/PnR1dVnvNa3J9/j611NHTanXU0dNqdej2qvWn4xMREREpCiu6BAREZFkMegQERGRZDHoEBERkWS9FpeXq0NeXh5u3LgBc3NzODg41EjNmJgYZGRklHlauyqUlJQgLi4OJSUlcHR0hI6OjsprZmdnIy4uDlZWVhU+wkPZEhMTER8fj5YtW6Ju3boqrfE8LS0tdOzYUSX1npeSkoL79++jZcuWKrsvx5MnTxAZGVnutiZNmsDa2loldYFnv7epqamwtrZW2Z1qn5eVlYXbt2/DwsICdnZ2Sj9+QUEBIiMjYW1tDUdHx3LnZGdn4+bNm6hXr55SeoiKisLjx4/RoUOHas2prJSUFMTFxcHFxaXce9IUFxfj1q1b0NDQgKOjI7S0qvdXUWFhISIjI2FpaYkmTZqUO+fRo0e4c+cO6tevr9L/X6kWEqiMrVu3CkZGRkKzZs0EIyMjwdfXV8jKylJZvZ07dwodOnQQzMzMBE1NTZXVKbV69WqhYcOGQtOmTYUmTZoIlpaWwvbt21VW7969e8LQoUOFunXrCu7u7oKJiYng6ekpxMfHq6xmqczMTMHBwUEAIOzatUtldRYtWiQYGxsLXl5e4k/Pnj1VVk8QBCE9PV3o3bu3YGRkJHh4eAiNGjVS2XuMj4+Xe29eXl5Cy5YtBQDC77//rpKaycnJQseOHQUzMzOhbdu2gqmpqeDt7S2kpqaqpF5xcbEQFBQkGBgYCG5uboK5ubnQs2dPITs7WynHf/jwoTB9+nShfv36goGBgRAUFFTuvLVr1wr6+vpCixYtBAMDA6Fv377C48ePFaq5ceNGwc3NTTAzMxPq1q2r8JzKioyMFD744AOhXr16AgDhyJEjZeZ88cUXgrW1tdCiRQvBwcFBqF+/vrB3716F6j169EgIDg4WGjRoIBgaGgoBAQFl5ty9e1d4//33BUtLS8Hd3V0wMjIS3nnnHZX9f0S1D7+6ekFsbCz8/f2xZs0axMbGIiEhAfHx8fj0009VVjMmJgYrV67EN998o7Iaz8vIyEB4eDhu3ryJW7duYe7cuRg1ahRiY2NVUi8pKQl+fn5IS0tDZGQk7t27h6dPn2LSpEkqqfe8gIAADBo0SOV1AMDJyQmnTp0Sf/766y+V1SopKUGfPn2QkZGBhIQEhIeHIyoqCk+ePFFJPTs7O7n3durUKfTq1Qt169ZF7969VVIzODgY2dnZSExMREREBOLj45GSklLpZ9xV1XfffYetW7ciIiICly5dQmJiIh4/foypU6cq5fjJycmoW7cuLl++DBcXl3LnRERE4KOPPsL27dsRExOD27dvIzIyEvPnz1eo5s2bNxEaGlrh71ll5lRWdHQ0Bg4ciIiIiJfOycvLQ1RUFGJiYnDnzh1MmDABgwcPRnJycpXr3b9/H0ZGRoiMjISHh0e5c+Lj4zFhwgQ8ePAAkZGRSEpKQkpKCj777LMq16PXlLqTVm0za9YsoWHDhnJjq1atEgwMDIT8/HyV1t60aVONrOi8qLCwUJDJZMKWLVtqrObEiRMFDw8PldZYu3at4OXlJTx69KhGVnTatm0rXL58Wbhx44bw9OlTldUSBEH4888/BQDC1atXVVrnZQoLCwVLS0th2rRpKqvRq1cvYfDgwXJjffv2Ffr376+Sen369BH69OkjN7Zx40ZBT09PyMvLU2qtDh06lLuiM3HiRMHZ2VlubMGCBYKFhYVQUlKicL2VK1e+crWmMnMq6/79+y9d0XlRenq6AEDYt29ftWq+/fbb5a7olGfo0KGCr69vterR64Pn6Lzg0qVLaNu2rdxY+/bt8fjxY9y8efOl/xJ7nUVGRkIQhJd+t63MOjk5Obhy5Qp+/fVXhIaGqqxWVFQUFi5ciPPnz0NTU1NldZ536dIlDB06FFlZWcjPz8fKlSsxYsQIldQKCwtDo0aN4OLighs3bqCkpASNGzeusZuj/fHHH0hLS8PYsWNVViM4OBgDBw7EqlWr4OLigsjISJw/fx5//PGHSuqZm5sjKipKbiw5ORn5+fmIjo5Gu3btVFL3eS/78yc9PR1JSUmwtbVVeQ81LTw8HADQuHFjldY5f/488vLyEBERgcOHD+OXX35RaT2qPRh0XpCRkYFWrVrJjZWewJqRkaGOllQqNzcXgYGB8PHxwVtvvaXSWsuWLcPt27cRGxuLXr16qeyk68ePH8PPzw8rVqyAvb09cnNzVVLnee3atcOdO3fQqFEjAMCqVaswevRoNG3aVCUnJN+7dw9mZmbw8fFBcnIyioqKkJWVhe+//x4DBw5Uer0XhYaGwtvbGy1btlRZjbZt26J///5YuHAhHB0dcfv2bYwePVpl/9gICgqCp6cnJkyYgPfffx83btzAhg0bANTcZz8jI6PMCfPP//kjtaDz8OFDBAUFoX///mX+3FW2RYsW4f79+4iNjcXAgQNf+lUXSQ/P0XmBtrY28vPz5cZKz3uoiSuTatKTJ0/Qp08fCIKAnTt3qrzezp07ER4ejqSkJKSlpaFfv34qqbNgwQLo6+vD3t4ep06dwtmzZwEAN27cwNWrV1VSs0ePHmLIAYApU6agadOm2LVrl0rqaWtr4/Lly/jggw9w48YNxMXFYdq0aRg5cqRC5zpURVJSEv7++28EBgaqtM6oUaPEc3MiIyNx9+5dHD9+HOPHj1dJPQ8PD0RERKC4uBjLli3D1atXxaCjr6+vkpovepP+/MnOzsa7776LunXrYtOmTSqvd+DAAURGRiIhIQHR0dEYNmyYymtS7cAVnRc0atQISUlJcmOlf3Go4lJTdcnPz0efPn2QmpqKY8eOwcLCosZqm5iY4MMPP8TgwYORk5MDY2NjpR7fwMAA+vr6mDlzJoBnJ+4CwPbt25GYmIh169Yptd7LWFlZqSx02NvbQ1NTUy5sjB8/HrNmzUJ4eLhKL9/fvHkzjI2NVb5ydODAAXz99dcwMTEBANSpUwfDhg3DkiVLVFbT1dUV69evF19v3boVMpkMTk5OKqv5vEaNGpX5fyY5ORkymUxSqzk5OTno2bMniouL8c8//4j/jWuCubk5AgIC8PHHH6OkpAQaGvz3vtTxv/ALunXrhjNnziA9PV0c27dvH1q2bFmj935RpdKQk5ycjKNHj6JevXoqrZeXl1dmLC4uDoaGhir5l/KCBQvkrg46fPgwgGdL16oKOS++x7S0NFy+fBnOzs4qqdejRw8UFxcjJSVFHCsN6JaWliqpCQCCIGDTpk0YPny4ylc5LC0ty/yjIzExUWXvr6ioCEVFReLrkpISrFu3Du+++26N/UOgW7duOHr0qNz/T/v27UPHjh1hZGRUIz2oWmnIKSwsxJEjR1CnTh2V1nvZnz9mZmYMOW8Irui8YMiQIVi5ciX69u2L6dOnIyoqCqGhofj9999VVvPmzZt48OABbt26BQA4deoUAKB169Yq+ZdO//79cf78eWzcuBG3bt0S69rb26vkhmxz585Ffn4+unbtCiMjI5w5cwbLli3D/Pnzq32jsNrinXfeQb9+/dCmTRukp6fj66+/Rr169TBx4kSV1PPy8sL777+PAQMGIDg4GEVFRVi0aBE6d+6s0psUHj16FHfu3FH511YAMGnSJMydOxd169ZFmzZtEB4ejnXr1mHFihUqqZeVlYW+ffti4sSJMDExwfr16xEfH48dO3Yo5fglJSU4c+YMgGd/2d+/fx+nTp2CoaEh2rRpAwAYO3Ys1q5di759++Ljjz/G+fPnsXv3bjGsV9X169eRkZGB//77D0VFReKfLe7u7jAwMKj0nMpKS0tDbGyseE7TtWvXoKenBzs7O9jZ2aGoqAjvvfcebt68iU2bNiE6OlrcV9EbT5b2m5WVhdTUVJw6dQr6+vriSd2TJ0+GsbExOnfuDF1dXfz7779YtWoV1qxZU+Va9Hri08vLkZmZiaVLlyIiIgLm5uYIDAxEt27dVFZv0aJF+Pvvv8uMh4SEqOTES29v73LHJ0yYoJLvrUtKSrB9+3YcPHgQmZmZsLe3x4gRI2rkDtDAs3McunXrhsWLF6NLly4qqZGZmYnvvvsO58+fh4GBAdq3b4+JEydW+S+KqigsLMS3336LI0eOQE9PD15eXvjoo49UutLy9ddf4+rVq9i2bZvKajxv3759+O2335CSkgIbGxv4+fnhvffeU1m9y5cv45tvvkFqairatWuHyZMnK20FqfT/wxc5Ojpi69at4usHDx7gq6++wpUrV8Sw3KlTJ4VqzpgxA6dPny4z/tNPP4l3fK/MnMo6fPgwPv/88zLjo0aNQmBgIHJzc9GzZ89y950+fTr69u1bpXrFxcV4++23y4w3bNhQPO+wqKgImzdvxuHDh5GbmwsHBwf4+/uXubqNpItBh4iIiCSLX1ASERGRZDHoEBERkWQx6BAREZFkMegQERGRZDHoEBERkWQx6BAREZFkMegQERGRZDHoEFGNefjwIXbu3Cn3qAVFZGVlYefOnWUegElE9CLeMJBICRISEnD16lUIggBnZ+cyd5R98uQJ9u3bV2a/evXqoWvXrnLbZTIZDA0N0bBhQ7Rq1Qra2trlHksmk2HgwIFlntfzxx9/4PHjx/D19a3wGU1JSUmIjo6GlpYW2rRpA3Nzc0XffqWdO3cOnp6eyMnJqdazm65duwYXFxfcv39foccGENGbQxoPGiJSk8zMTAQEBODw4cPw9vaGpqYmTp06hU6dOmHz5s1i0Hj48CGGDBmCLl26wMrKStzfyckJXbt2LbP9yZMnuHHjBtLS0jBp0iTMmTNHfC5Y6VwAMDMzQ/fu3cXjxcTEoF+/fhAEASdPniz3cR+CIGDixInYsmUL3nrrLWhpaSE6OhrvvfceQkJCIJPJVPlbRkRUoxh0iBRUUlKC3r17IycnB3FxceLKwsOHD/Hee++hV69eOHv2rNyDS2fPng1fX9+XHvPF7WFhYRg4cCBSU1MREhIiN7dz584IDQ2VCzqhoaHo3LkzTpw48dIav/zyC0JDQ3HlyhW0bNkSAPD06VNs3rwZpQu8u3btgqenJ2xtbeXe765du+Dl5QV9fX0cOXIEH3zwAW7evIm4uDg0a9YMLVq0gCAIiIyMxL179+Dm5gY7O7ty+4iOjsbt27fRokULNGvWrMz2+Ph4XLp0CcbGxnjrrbdU/rR0IpIogYgUsnv3bgGAcOLEiTLbLl26JMhkMmHbtm2CIAhCYmKiAEA4cuRIuceqaPu6desEDQ0N4b///pObu3nzZkFPT09IT08XBEEQCgsLBUtLS2Hr1q0CAOHkyZPl1po9e7bQqFGjCt+bj4+PMGHCBLmxQ4cOCdra2kJqaqpw9uxZAYDw9ttvCx4eHkK3bt0EDQ0NYfHixUL37t2F9u3bCz4+PoKenp5w4MAB8Ril+/Xq1Uto1aqV4OPjI+jq6gpffPGFXK158+YJ+vr6gq+vr+Dk5CTUr19fuHTpkrg9KipKACDcv3+/wvdBRMSTkYkUdPjwYVhYWKBz585ltrm5uaFx48Zlnkp//Phx7Ny5U/xJTk5+ZZ0+ffqgpKQEJ0+elBtv3LgxOnbsiO3btwN49qTvOnXqvPJJ1x07dkR8fDyCg4MRGxtb7pzAwED8/PPPcif7bty4Eb1790a9evXEMW9vb4SHh+Pw4cOYO3cu5syZg06dOuH8+fP4559/EBQUhIULF5Y5vqmpKaKiovDPP//gt99+w7x583Djxg0AwPnz57Fo0SIcPHgQR44cQVRUFDp16oSxY8eKK05ERJXFoEOkoJSUlJd+LQMAdnZ2SElJkRs7ffo09u7dK/7cv3//lXVKz+lJS0srsy0gIAChoaEAgB9//BEBAQGvPF7v3r0REhKCX3/9FS1atIC5uTk++OADnD9/Xpzz/vvvQ1NTE7t37wYAZGRkYN++ffD395c71ocffij+2tPTs9yxmzdvlunh008/Fc8F6t27N5o3b47ff/8dALBz5054enqiS5cuAAANDQ0EBwcjMjISt27deuX7IyJ6HoMOkYKMjIzw8OHDl25PT08vc2XR7Nmz5VZ0PDw8XlknNzcXAGBoaFhm24ABAxAfH489e/bg2LFjGDlyZKV6Hz9+PG7fvo07d+5g7dq1SEtLg5eXlxh2dHR0MGLECGzcuBEAsH37dpibm6NXr15yxzEzMxN/raurW+5YeZeA29vby712cHBAfHw8gGfn5jg6Osptb9y4sbiNiKgqGHSIFNS+fXskJiYiKSmpzLaHDx/i1q1b6NChQ7XrnD17FsCzr8NepK+vj6FDh2LMmDHo2bMnbGxsqnRsBwcHDBkyBEeOHEHdunXxyy+/iNsCAwNx7NgxxMfHY+PGjRg5ciQ0NTWr9V5KZWZmlnldeoWahYUFMjIy5LaXvq7ocnkiovIw6BApaPjw4TA3N8fMmTPLbJs3bx50dXUxZsyYatXIzc3FnDlz0LZtW7Rv377cORMnTkTPnj0xbdq0Sh0zMTERxcXFcmPFxcUoKipCnTp1xDEnJyd06NABU6ZMweXLl8t8bVUde/fulesnPDwcXl5eAJ6d93PixAm51bJdu3bBwsICLVq0UFoPRPRm4OXlRAoyMzPDnj170LdvX/j6+mLgwIHQ1NTE3r17cerUKezZs0fuxN3KOH78ONLT05Gfn4/Y2Fhs27YN5ubm4g0Cy+Ps7IydO3dWusahQ4ewfPly9OvXD82aNUNeXh5++ukn6OnplQkzgYGB8Pf3h7e3d7mXgCtq5cqVyMjIQIMGDfDtt9/Cy8sL7733HoBnATIkJARdunTBhAkTkJSUhBUrViAkJISXmBNRlXFFh6gavL29cevWLfTp0wcXLlzAmTNn0LVrV9y6dQvvvPOOOM/AwAB+fn4vvYtv6fa4uDjs27cP//77L7S1tbFx40ZcunRJ7pyW0rmWlpblHsvQ0LDC7YGBgTh8+DAsLS1x9uxZ3Lp1C/7+/oiJiUHDhg3l5vbt2xcAygQgCwsL+Pn5yd21uV69evDz85O7U3ODBg0waNCgMvudOXMGhoaGiIiIgL+/P/78809xjoaGBo4ePYpx48bhwoULyM7OxuHDh+V6qFOnDvz8/Bh8iOiV+AgIInqpHTt2YOLEiUhOTi73ZGgiotqOX10RURn//fcfjh8/jgULFmDKlCkMOUT02mLQIaIyEhIS8M8//2DixIn45JNP1N0OEZHC+NUVERERSRZPRiYiIiLJYtAhIiIiyWLQISIiIsli0CEiIiLJYtAhIiIiyWLQISIiIsli0CEiIiLJYtAhIiIiyWLQISIiIsn6f6D4HU0wYpclAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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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"
}
],
"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": "2026-08-06T19:09:44.765170Z",
"iopub.status.busy": "2026-08-06T19:09:44.765026Z",
"iopub.status.idle": "2026-08-06T19:09:44.926508Z",
"shell.execute_reply": "2026-08-06T19:09:44.925680Z"
}
},
"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": "2026-08-06T19:09:44.928645Z",
"iopub.status.busy": "2026-08-06T19:09:44.928508Z",
"iopub.status.idle": "2026-08-06T19:09:45.188146Z",
"shell.execute_reply": "2026-08-06T19:09:45.187328Z"
}
},
"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": "2026-08-06T19:09:45.190531Z",
"iopub.status.busy": "2026-08-06T19:09:45.190391Z",
"iopub.status.idle": "2026-08-06T19:09:45.758120Z",
"shell.execute_reply": "2026-08-06T19:09:45.757374Z"
}
},
"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": {
"image/png": 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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": "2026-08-06T19:09:45.760518Z",
"iopub.status.busy": "2026-08-06T19:09:45.760378Z",
"iopub.status.idle": "2026-08-06T19:09:45.766811Z",
"shell.execute_reply": "2026-08-06T19:09:45.766110Z"
}
},
"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": "2026-08-06T19:09:45.768952Z",
"iopub.status.busy": "2026-08-06T19:09:45.768811Z",
"iopub.status.idle": "2026-08-06T19:09:45.914554Z",
"shell.execute_reply": "2026-08-06T19:09:45.913672Z"
}
},
"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": "2026-08-06T19:09:45.917059Z",
"iopub.status.busy": "2026-08-06T19:09:45.916902Z",
"iopub.status.idle": "2026-08-06T19:09:45.920056Z",
"shell.execute_reply": "2026-08-06T19:09:45.919351Z"
}
},
"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": "2026-08-06T19:09:45.922054Z",
"iopub.status.busy": "2026-08-06T19:09:45.921929Z",
"iopub.status.idle": "2026-08-06T19:09:46.162078Z",
"shell.execute_reply": "2026-08-06T19:09:46.161310Z"
}
},
"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"
}
],
"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": "2026-08-06T19:09:46.164092Z",
"iopub.status.busy": "2026-08-06T19:09:46.163954Z",
"iopub.status.idle": "2026-08-06T19:09:46.174976Z",
"shell.execute_reply": "2026-08-06T19:09:46.174210Z"
}
},
"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": "2026-08-06T19:09:46.177199Z",
"iopub.status.busy": "2026-08-06T19:09:46.177062Z",
"iopub.status.idle": "2026-08-06T19:09:46.305981Z",
"shell.execute_reply": "2026-08-06T19:09:46.305145Z"
}
},
"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(\"Subcarrier 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": "2026-08-06T19:09:46.307934Z",
"iopub.status.busy": "2026-08-06T19:09:46.307790Z",
"iopub.status.idle": "2026-08-06T19:09:46.310542Z",
"shell.execute_reply": "2026-08-06T19:09:46.309770Z"
}
},
"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 `bandwidth` 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": "2026-08-06T19:09:46.312325Z",
"iopub.status.busy": "2026-08-06T19:09:46.312201Z",
"iopub.status.idle": "2026-08-06T19:09:46.331290Z",
"shell.execute_reply": "2026-08-06T19:09:46.330599Z"
}
},
"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": "2026-08-06T19:09:46.333158Z",
"iopub.status.busy": "2026-08-06T19:09:46.333033Z",
"iopub.status.idle": "2026-08-06T19:09:46.336572Z",
"shell.execute_reply": "2026-08-06T19:09:46.335894Z"
}
},
"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": "2026-08-06T19:09:46.338416Z",
"iopub.status.busy": "2026-08-06T19:09:46.338296Z",
"iopub.status.idle": "2026-08-06T19:09:46.456866Z",
"shell.execute_reply": "2026-08-06T19:09:46.456153Z"
}
},
"outputs": [
{
"data": {
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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": "2026-08-06T19:09:46.458981Z",
"iopub.status.busy": "2026-08-06T19:09:46.458835Z",
"iopub.status.idle": "2026-08-06T19:09:46.462096Z",
"shell.execute_reply": "2026-08-06T19:09:46.461411Z"
}
},
"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": "2026-08-06T19:09:46.464000Z",
"iopub.status.busy": "2026-08-06T19:09:46.463868Z",
"iopub.status.idle": "2026-08-06T19:09:46.553226Z",
"shell.execute_reply": "2026-08-06T19:09:46.552429Z"
}
},
"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": "2026-08-06T19:09:46.555269Z",
"iopub.status.busy": "2026-08-06T19:09:46.555135Z",
"iopub.status.idle": "2026-08-06T19:09:46.716277Z",
"shell.execute_reply": "2026-08-06T19:09:46.715361Z"
}
},
"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": "2026-08-06T19:09:46.718269Z",
"iopub.status.busy": "2026-08-06T19:09:46.718130Z",
"iopub.status.idle": "2026-08-06T19:09:46.737138Z",
"shell.execute_reply": "2026-08-06T19:09:46.736409Z"
}
},
"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": "2026-08-06T19:09:46.739149Z",
"iopub.status.busy": "2026-08-06T19:09:46.739023Z",
"iopub.status.idle": "2026-08-06T19:09:46.924915Z",
"shell.execute_reply": "2026-08-06T19:09:46.924027Z"
}
},
"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/bandwidth [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": "2026-08-06T19:09:46.926951Z",
"iopub.status.busy": "2026-08-06T19:09:46.926793Z",
"iopub.status.idle": "2026-08-06T19:09:46.947796Z",
"shell.execute_reply": "2026-08-06T19:09:46.947092Z"
}
},
"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": "2026-08-06T19:09:46.949764Z",
"iopub.status.busy": "2026-08-06T19:09:46.949636Z",
"iopub.status.idle": "2026-08-06T19:09:46.953057Z",
"shell.execute_reply": "2026-08-06T19:09:46.952277Z"
}
},
"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": "2026-08-06T19:09:46.954809Z",
"iopub.status.busy": "2026-08-06T19:09:46.954688Z",
"iopub.status.idle": "2026-08-06T19:09:47.126093Z",
"shell.execute_reply": "2026-08-06T19:09:47.125221Z"
}
},
"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": "2026-08-06T19:09:47.127984Z",
"iopub.status.busy": "2026-08-06T19:09:47.127834Z",
"iopub.status.idle": "2026-08-06T19:09:47.132272Z",
"shell.execute_reply": "2026-08-06T19:09:47.131471Z"
}
},
"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": "2026-08-06T19:09:47.134096Z",
"iopub.status.busy": "2026-08-06T19:09:47.133971Z",
"iopub.status.idle": "2026-08-06T19:09:47.171560Z",
"shell.execute_reply": "2026-08-06T19:09:47.170756Z"
}
},
"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 cumulative\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": "2026-08-06T19:09:47.173516Z",
"iopub.status.busy": "2026-08-06T19:09:47.173388Z",
"iopub.status.idle": "2026-08-06T19:09:50.741366Z",
"shell.execute_reply": "2026-08-06T19:09:50.740399Z"
}
},
"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": {
"image/png": 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7e/bsoW/fvuj1+gaP8eSzwsmT9392djYPPPAAv/rVr3jllVdc24uLi3nllVdcgYY3ZXpzrC+fm0ajkU2bNvHll1+ybNky3nvvPZ555hkGDBjAN9984/Y+bIskuGlFnTt3ZuLEiSxevJjCwsJGPyxzc3M9/q/O+Yd/7bXX+ly/Hj16AI5RAtOmTXPbt3//fsLDw1vUauOPKL9v374AXHrppR6NdGjo3F27dl0wYscpEM/dWWZmZiYTJkxw23fgwAGPyvDmtQvU789XKSkpF/yHCng0KrCljh49isVicY20gXOvufN18uU91ZRA/B6cgWD95+Pk3HZ+kPfcc8/x/fff8+abb/LHP/6R6667jg0bNrhad0aNGsX999/P2bNn3c6z2WyYzWaOHz/uNjLLEwsWLHB9Jv2///f/vDrXl/I6d+7MhAkTWLx4MQUFBcTFxV1wzOLFi8nPz+fhhx9utBxPPiu8sWfPHqxWK7Nnz3bb7gw6A83X97hWq+X66693zXm0YcMGJk2axMKFC3njjTf8Wld/a/ttSx3Mq6++it1u58Ybb6SsrOyC/YsWLeK3v/1ts+UoisKrr77Ku+++y7333uvzBF4AI0aMoE+fPrz66qtuddu5cydLlizhlltuadH8EAkJCRQWFvpUt6FDhzJu3Dj+/Oc/u83q69TUrJpDhgxhzJgxvPTSS+Tk5Ljtcw7RDMRzHzFiBL169eLVV191a6VYunQpJ0+e9KgMb167QP3+fDVq1Cg2bNjg9nvz5jVoCbvdzptvvul6bLPZ+N///V+io6OZNWsW4Nt7qimB+D106dKFrl278s0337iVabPZ+OCDDwgNDXXrSvnxxx/54x//yGOPPcYvfvELPv74Y/bs2cNDDz3kOmbGjBm8/PLLF/yEh4fTtWtXXn75Za688kqv6jlx4kSefPJJnnzyyQsC+pbwprx//OMf2Gw2br75Zqqqqtz2HT58mPvvv5/+/fu7vQbn8+SzwhvO6T727Nnj2mY2m3nppZdaZTi1L+/xI0eOUFxc7LZt2LBhmEymBltL2xppuWllAwYMYPXq1dx6661069aNa6+9loyMDEpKSli6dClZWVksXLjwgvP+8Y9/oFarMZvNnD59mmXLlpGbm8vzzz/PE0884Ze6qdVqPvroI2bMmMHw4cO54YYbKC8v55133mHMmDG8+OKLLSp3zpw5fPzxx9xzzz307t0bo9HYov8iPv30U66++mp69uzJjTfeSFpaGqdPn2bdunX06tXLNbNpQz755BNmzpzJgAEDuPHGG0lOTmbnzp2cOnWKzZs3B+S5q9Vq3n//fS677DJGjhzJNddcw9mzZ8nOzuaaa67h66+/brYMb167QP3+fPXoo4/ywQcfMHHiRObOnUt2djbV1dXMnj2bH374ISDXHDJkCHv27GH+/Pn07NmTH374ge3bt/PZZ5+55af58p5qTCB+DyqVinfeeYe5c+cyaNAgbrrpJvR6PYsXL+bo0aO89dZbREdHA46ukHnz5jF+/HjXZ8nYsWP585//zCOPPML48eMvmNXcX1QqVYOfX61R3uDBg1m+fDnz58+nd+/e3HDDDSQkJHDo0CE+/PBDxo0bx/vvv09ISEiT5TT3WeGNPn36MH/+fJ566imysrKIiYlh6dKlPProo3z33XdeldVSLX2PHz9+nEsuuYQxY8bQp08fVCoVixcvJjQ0lMcee6xV6u4LCW6CYNiwYezdu5e1a9eyceNG19pSzzzzDNOnT3ebhOmKK64gKSmJkydPolKpMJlMpKen849//IOJEyc2OJW485yWdAcNHDiQQ4cO8fnnn3PgwAEiIyP58MMPufzyy93+0xg1ahQPPfRQkxOoOc2dO5e4uDjWrFnDyZMn3ep84403Nti/PX78+Av+O0hOTmbTpk2sXLmSDRs2UFpaSr9+/fjlL3/ZbM5Rp06d+Pnnn/n222/ZunUrFouF+fPnuzUXe/rcvanz8OHDyczM5L///S+5ublMmDCBG264gS+++OKCicYaWk6hqdeuoeMD8Rwa4s35nTp1Ys+ePXzwwQfk5+czffp0rrnmGj766KML+u0bK/eGG25osB7XXXcdVqu1wTLuu+8+vv76azZv3szs2bN5//333WYEB8/fU43VqzGB+DuaOHEiR48e5auvviIrKwuLxcKDDz7IVVddRUxMjOu4NWvWMH/+fJ544gm3FqKHH34Ys9lMZmYmVqu10edz9913N9it05ArrriCtLS0Zo+77777LphIsqHPKV/KA0cQd/DgQZYvX862bdsoKCigd+/erF692uOkaU8+K7x5/7/33ntcf/31bN26FaPRyHvvvUffvn3Ztm0bEydObFGZgfjcPP/z5NJLLyUzM5MlS5a4kuQfe+wxrr766naxhIUsnCmEEEKIDkVyboQQQgjRoUhwI4QQQogORYIbIYQQQnQoEtwIIYQQokOR4EYIIYQQHYoEN0IIIYToUC66eW7sdjs5OTmEh4e3ygyRQgghhPCdoiiUl5eTkpLS7DxuF11wk5OT49EkUUIIIYRoe06dOkWnTp2aPOaiC26cU6+fOnWKiIiIINdGCCGEEJ4oKysjLS3NbQmVxlx0wY2zKyoiIkKCGyGEEKKd8SSlRBKKhRBCCNGhSHAjhBBCiA5FghshhBBCdCgS3AghhBCiQ5HgRgghhBAdigQ3QgghhOhQJLgRQgghRIciwY0QQgghOpQ2EdxYLBZqa2u9OkdRlADVRgghhBDtWVCDm9WrV3PjjTcSFhbG2LFjPTrn2LFjXHbZZRgMBsLCwrjjjjuorKwMcE2FEEII0V4ELbgxm8387ne/Y/bs2dx5550enWOxWLjiiiswmUzk5OSwY8cO1q1bxz333BPg2gohhBCivQhacGMwGFi9ejXz5s1Dr9d7dM53331HZmYmr776KnFxcfTo0YM//vGPfPjhh+Tm5ga4xkIIIYRoD9rVwpkbN24kIyODtLQ017YpU6Zgt9vZsmULs2fPDmLt2gi7HSyVYK0Faw3YzGA1O+5ba0GxA4rjVlHqPa5/nwuPa/S+8IZdsWNRbNjqXkc7iuPlVhy3OB+jYD9/m3Jun6MsBQX3bfWPsdf9Lusfc66cetsU9+sqdWVz3jHu57gfT71j7G51Oa+OCnXP+VxdqFd/0U4pdZ8brs8PxzZV/X3OzwvnPufx9roy7I79qvOOq1+uyvXYvVyV2/GNXKdevVzXaapezuOpd836z7celSdv3+Y+L5u5hifnqM7fcEGZzRTQyCUdVVGhKCoUVCh2FXZAsauxKyqwq7HXXV2x1x2j1NVGUTl+tYoKu+LYDjjOqyvLeVzdb9J1rvN6Ko2a+S/8senX4jztKrg5e/Ys8fHxbtvi4uJQqVScPXu2wXPMZjNms9n1uKysLKB1DBhFgbIcKD4GRceg5CRU5kNVoeOnsgCqCqC6uC4wuXgogBWwqFRUq1TUqFXUqFRUq9RU192vUamoVqtd920qsKLCWndrU4FVpcJWV44N5+O6Y1QqrICt3j6r85jzyrKqHGVY651rqbtv92A1W9HxqRQFnRX0FtBbwVB3q7eC1gZqu4LGToM/ajto624b3GdTUCt122x1t4pzX915yrl97uUpHl/r/GOEZ+wqNXa1Drtai6LSYlPrUNQa7CotilqDotJgV2uxqzQo59/W7Wv4VoOi0l54q1JfWI6rPHXdTzP31cENFbSWCu/PCUA9Aspud/8rcv7n19gS6AsXLuTZZ58NeL38TlHgxHo4vg6yt8Lp7Y7AxRtqHWgNdT9G0OhApQGVGlQqxy2q8+7TyPa6cy647/2XtR2FQmzkYqMMO5XYqUShAjsV9e5X1ntsRqEWBUvdreMH12N7B48ZVIrjV+PsR1a5flT17rv/UG+f2rWt+fPqn6t22+bJuY4j1ReUd+68C5+D+7ltjcquYDCDsUbBUKNgrFYw1igYa8BQo2CoVdBaQGtV0FpBa3Hc6upu629zHqOzBvtZtV11/+RT9w+++62qrnGhbr/rvtutqtFjzi/TrlJjU+uxa3SOW7UOu0aPXVX3WFO3Ta3HrtKjqB377HXHKmo9ikrnCExUurqgQYei0qKotXX73B87PlM7EMWKSrED9rpWtHOt/ipn85frvrPFv+6xopy3ve78umNAqSu7xutqtavgJjk5mZ9++sltW35+PoqikJSU1OA5Tz31FI888ojrcVlZmVu3VptTXQw7P4Rt/4bCLPd9ai1EpkFMV4juAqEJEBoHITEQEld3PxYMEY5gRh28PyKr3cqx0mNkFmVyrPQYuZW5nKk8w5nKM5ytOovVHrhPd6PGiFFrxKQ1YdQaMWoc952P9Ro9OrUOrVqLRqVx3erUOjRqjdt2rUrrts11jHO7SuvYd94xzvK1aq3bfedjjUqDSuX4unfd1gWXKlSoVWrXPuE/drMZW1ER1qIibEXF2Irr7hcWYS0uwl5aiq20DFtZGfayutuKAI/G1OlQG42ojAbUBiMqnQ6VVgtaLSqNBpVGAzotKo32gvsqnRbc7msc+7SauvMvvK/S1p1z/n1N3XF11/X8HB0qjRo0GqDuH0218x+ourBVrTr3WFX3vq77UQCzHSprbVSarVSYrVSa69+vt63WSkW1hZpKCzXVVmqrbdhrbdhr7WCxg1VBZbWjtiqOlimbggEVegX0igpD3a1OcXz5aYIcUNsBu/pcMKeoVY7AS60CteMxapUjHlLXvY4aFWqN475Ko3bcr9um1qjQaNWoNWo0WlXdj6buVo223j61RoXWeZxGjUarRqN2HufYptWo6/aBVqtGV1eG60fjOEetUtXdNt7Q0NrafHBTU1ODTqdDo9Ewfvx4XnjhBY4ePUpGRgYAK1asQKPRMHr06AbPNxgMGAyG1qxyy9issOEfsPovYK12bNOHQ6/LIW0kdBoOCf1A61nydWtTFIUDRQdYm72WdafXcaDoAGabudHj1So1caY4og3RhOpCCdOHOW51YYTpwty2hepCMWgM6NQ69Bq92329Ro9erXcFLEatEXVH+89INMpeU4OtsBBr/UDFeb+wyBHIFNdtKyrC7sO0EeqQENSRkWgiI9FERKCJjHA8Dg1DZTI6AhSDEbXRgMpoctye/9hoRG0woDKZHLdGoyNAaGcsNrtb0FFR6QhC6gcklbW284KTumNrLNTUWLFV27DVWKFWQW8DkwImRYXRrsJUPxjhXFASqkBkswGJ93//Co4gw65WoWgAjSOIQKtGpVWh1qhR69Ro9Go0OjU6nQatQY1Or0Gv16A3aDA4f/QajEYtRoMWk1GL0ahBq9Og1dUFEM7bunJFYAQ1uKmtrcVut2Oz2VAUhZoaR9OT0WgEoKSkhOjoaN5++20WLFjAZZddxuDBg7n77rtZtGgRRUVFPPPMM9xxxx3ExcUF86n45sxu+Pp+OLPL8TixP4y4EwbcAIaw4NatCRW1FWw6s4k12WtYd3od+dX5bvtDtCH0julN96jupISlkBSaRHJoMsmhycSFxKFT64JUc9EeKHY71vwCrGdysOTkYDlzBkvOmbpbx2N7aan3Bet0aKOj0cTEoI2JRhMdgyY2Bm1MDJqoKDQREajD64KX8HBHMBMejkrXcd6viqJQbrZSWFFLUaWZwopaCitrKar7Ka+xOAKR+sFJrdW1rdbqnh6gVSDEriJEgRBFVXdfRaiiIsTuCFoS67abFNC6OiN9eE21KtR6DRqDGq1Bg9agQWfUoDdqMYRoMZq0GEN0mEK0hIToMIXq0Ju06I0atPq6gEPvCFDUWmkl7WiCGtyMGTOGffv2uR5HRUUBUFhYSGhoKCqVCoPBgKbuPxuNRsPSpUt56KGHGDlyJAaDgblz5/Liiy8Go/r+semfsOw3YLeCMQpmvAiDbmxRLktrsNgsrMpexeKsxazPWe/WvWTSmhidPJoJnSYwInEEnSM6SyuKaJatrAzzkSPUHjmC+chRzEeyqD12HEtuLlgszZ6v0unQxMaiiYlGGx1zLmiJqdsWE4Mm2rktBnV4eIf7IlMUhbIaK0WVtRRWmN0ClYIKc737jmCmqLIWi82z0TgmBcLtKsIUFZ3sKsLtasIUDeF2FeGKinC7CoPi/eup0qjQh2gxhOowhekIDddjDHMEIYZQHYYQLXqjIxjRm7SuwEVv0qIzaFCrO9bvUPiXSrnI1jEoKysjMjKS0tJSIiIigluZTW/A90847veZDVf8FcITg1unRuRW5vLe/vf4+sjXlJhLXNvTI9KZkDqBCZ0mMDxxOHpN2+w2E8FnLS6mNisL85EjmLOOUHvUcWvNy2v8JI0GbWICupQUdMkp6JKTHfdTktElJ6NNSkIdFtZhg5XCusCksLL2XCuL676ztcWLYOU8kVoNnYx6kjVaYlUaIhUVIVbQmRVUNTaUKptriHZzNFo1pggdpjA9pnA9IeE6TOGO+6aIuvthOoxhOoyhOnQGTYf7vYnA8ub7u83n3HRY2/5zLrCZ+Dhc8kxw69OI46XHeXvf23x95GtXK02CKYFZ3WYxu9tsMqIyglxD0dYodju1x49Ts3cv1Xv2Yj5wAPPRo9iKiho9R5uUhCEjA333bhi6dceQ0RVdairahARHAmsHU1ptIbu4itPF1WS7fqo4XVJNfrmZ4qqWBSuheg2xYQZiQvXEhuqJM+mIRUOkXYWpVkFvtqOqsmEpt1BTYsZc4mx5tdb9nFP/6qZwHaFRBsKiDI7baMet8ycsyoDepJVgRbQZHe9Toz3Y+V9Y8rDj/tgHYcrTwa3PeWx2G2uy1/DxoY/ZcHqDa4K1EUkjWNBvAeNSxqFRt78kSBEYSm0t1Xv3UbV9G9XbtlO1Ywf2RuaT0nXqhKFbN/TdumHo1g1D927oMzLQhIe3cq0DR1GUuuDlXNCSXVzN6ZJzj8trPBstGGbQEhOqJyZUT1yYvu6+wXU/OkRHuKJBX22DSivVJWbKCqopy6+h7EQ1VWXlgCNsKW/kGoYQLWExRsJjjITHOm7Dos8FMqFRBjRa6V4W7YsEN62t8Ah8/aDj/sh7YNof20x+zYmyE3xz5BsWH1lMbuW55SwmdZrEXQPuYnDC4OBVTrQZitVK9a5dVK5fT9W27VTv3o1S4z4PhcpoxNinD8YB/TH164e+e3cMXbuiDgkJUq39R1EUiqssda0uVW6tLs6ApsLcfPASG6onNdpEp2gTnaJD6BRtIjXKRGKE0RXQGHXn/omoqbRQlFNB4elKirIrKcop4UhOBebKpq+lN2qIiDcREWciIrYugIk1uYIZg0m+BkTHI+/q1vb9U2C3QPepcPmf20Rgs+z4Mt7d/y6783e7tkUaIpnTfQ7X97yezhGdg1g70RbYysupWLWKipUrqVi3/oKWGU10NKZhQwkZNpyQ4cMw9u7drkcXlVTVcqKwqoGWF8f9qlpbs2XEhelJrQtaOkWb6BRVL4iJNhGib/jjt7bGSvGZKo7uK6Yop9IR0ORUUlVa2+DxKhWExxodwUu8ici4ukAmzrHNECLdReLiI8FNazq0DA7/4Jg5eEbwA5tqazUvbnmRLw5/ATjmnhmTMoZZGbOYmj4Vg6YdzA8kAsZWWkr5Tysp/+EHKtevR6k3ckkTGUnouHGEjBpFyPBh6DMy2t0XqN2ucKywkiN5FRwtqORofgVH8ys5WlBJUWXDgUR98eGGC1pdnI9To0yY9E133drtCiW5VeSfKncLYsoLG5+NNTzGSExqKLEpocSkhBGTHEp0UgjaZq4lxMVGgpvWYq2FH55y3B99L8R1D2p1soqzeHT1oxwpPYIKFXf0v4P5fecTZ2rH8wUJn1mLi6n46SfKvv+Byo0bwXquy0OfkUH4tGmETZ6EaeDAdjX5XKXZypH8Co7kV5CZW87uU6XsPV1KeRPdRwnhBtJi6gcu51phUqJMbl1GzbFZ7RTlVJJ/qpz8k46fwuwKrJaGF2UKidATkxJKTEoosSlhjvvJoeilC0kIj8hfSmvZ/IZjOYXQBMfoqCBRFIWvsr7ihc0vUGOrIc4Ux4sTXmRU8qig1UkEl7W4mPJlPzpaaDZvBtu5LhdDjx6ET59OxPTLMPToEcRaeqbGYiMzt5z9OWUcOlvuCGjyKsgpbbg1xKBV0z0hjIz4MDLiQsmID6VbfBhd40IJNbTs49FSa6Mwu8IRxJwqp+BUBYWnK7A3MPpJa9AQlxpGbKewutYYx48pTKZUEMIXEty0hop8x7IKAFN/D8bgzK9TaankuU3PsfToUgDGJI/hhQkvSGvNRUixWqlYt47SL76kfOVKt8nyDL17EzFjOuGXXYYho+0O9S+tsrAvp5R9OWXsyyll/5kyjuRXYmtkXpa4MD0Z8WH0SAhjQGokAztF0TMxDK0PU+ArdoXi3Cpyj5WSe6SUs8fLKD5TSUOzhxlCtMSlhRPfOZz4zmHEp4UTmRAik9EJEQAS3LSGfV9CbTkkDYBB84JShaOlR3nop4c4XnYcjUrD/UPu547+d8gMwhcZy9k8Sj79lJJPPnGbPM/Qpw8Rl19OxGXT0HfpErwKNkBRFHLLath3uswVyOzLKeN0SXWDx8eG6umbEkGvxHC6J4TRPSGMbvFhRIf63hpirbWRe7SUM0dKyT1axtljpZirLuzaMkXoiU+rC2I6hxOfFk54rLHd5SUJ0V5JcNMaDv/guO1/XVBW6t6Tv4dfrfgVJeYSEkMS+cvEvzA0cWir10MET/XefRT+61+UL1/u6nbSREcTOXsWkXPmYOzdO8g1POd0STXbTxSz77QjiNl/pqzRBN+0GBP9kiPplxJB35QI+qVEkhhh8FsQYbPZyTtezumDRWQfLCb3SBm289dV0qlJ6BJBUrdIkjIiSUgPJzRSkvGFCCYJbgKtthKOrXXc7zm91S+/MWcjD618iGprNf1j+/Pa1NeIMca0ej1EcFTv2UPBa69TsWqVa5tp+DCib7qJiGnTUOmDm9uhKAoni6rYfLSITccK2Xy0qMEWGY1aRY+EMPqmRNA32RHE9E2JINLk3+HmiuLoZjq5r5BTB4rJySrBanYf9h0SqSelRxTJdcFMbKcwNLK6sxBtigQ3gXZ0NdjMENUZ4lv3v+NVp1bx8KqHsdqtjE4ezctTXiZUF9qqdRDBUb1rF/mvvUblmrrAWq0m4sqZxN55F8ZePYNWL0VROJJfweZjRWw+WsSWY0Xklrkn+2rUKvqnRDCgUyT9UhytMj0Tw70aneQNc7WV7MwiTu4r4uT+QiqKzG77jaE6UntF0alXNKm9oolKDJHuJSHaOAluAs3ZJdVjeqvOa1NWW8bv1v8Oq93KZemXsXDCQlnU8iJQtWMHBa+9TuW6dY4NGg2RV15J7L33YOjaNSh1qjRbWXs4n+UH8lh1MJ+CCvfgQadRMTgtipFdYxjVNZZh6dEtHqnkCcWukH+q3BXM5B4tQ6mXhKzRqknpGUVanxg69Y4mLjUMlST9CtGuSHATSIrimLgPWr1LatGuRRSbi8mIzODFiS+iU7ff2WJF86q2b6fgtdeo3LDRsUGjIfKqq4i752706emtXp+8shqWH8hj2f5cNmQVUms7l6di0KoZ2jnaEcxkxDC0c3TAWmWc7HaF04eKydqWx7Fd+VSXW9z2RyWG0LlfDJ37xpLSMwqdTIonRLsmwU0g5e6B8hzQhUCXCa122eOlx/nvgf8C8PiIxyWw6cBqMjPJ+8tfzgU1Wi2RV19F3D33oE9La9W6ZOVVsGx/Lj/uP8uOkyVu+9JjQ5jaJ5FL+yQwLD0agzbwwYNiVzhzpJSsbWfJ2pFPddm5pGSdQUOn3tF07hdL574xRMSZAl4fIUTrkeAmkJxdUl0ngc7Yapf967a/YlWsTOw0kXGp41rtuqL1WIuLyX/lFUo++RTsdtDpiJozh9i770bfKbVV6lBjsbHlWBGrDuaz6mAeRwsq3fYPSovisr6JXNY3ke4JYa2Sp6IoCnnHyzm87SxZ2/OoLDnXBWYI1dJtSALdhyWQ0iNKVroWogOT4CaQDtUFNz0va7VLrj+9ntXZq9GqtDw6/NFWu65oHYrFQvGHH5H/6quuxSvDL59Bwq8fbZWgxm5X2HCkkE+2neLH/WeptpwbSaTTqBjTLY7L+iYyrW8iiRGtF9CXnK3iwMYzZG07S1nBuQRlvVFDxuB4ug9PpFOfaBnVJMRFQoKbQKksgOxtjvs9WiffxmK38JetjpmQb+pzE10jg5NAKgKjYv16zi5cSG3WEcAxk3DSM08TMmJEQK+rKAr7csr4fm8uX+447TZUOyHcwORe8UzqmcCEnnFEGFuvC9Rus3N8dyF7VmeTnVns2q7Vq+k6MI7uwxPp3C8GbYDzeYQQbY8EN4GStRxQIHEARLZON8EnBz/haOlRog3R3Dvo3la5pgg8a2Ehuc/9ifLvvwdAExVF/P/8D1HXXxewxSvtdoVd2SV8tzeX7/fmcrKoyrUv3KjlqsEpXDcsjUGdIlt9WHRliZl963LYvy7nXLeTCtL7xdJrdBJdBsShM0hAI8TFTIKbQHFO3NdjaqtcrqSmhNd3vg7A/UPuJ0IfnPWrhP8oikLZ0m85+6c/YSspAY2G6JvnEX/ffWgiIwNyvV3ZpXy14zQ/7MvlTL3FJo06NZN7JnDFwGQu65sY8NFNF9TNrpB9sJi9a05zbFeBa+i2KVxHn7Ep9JuQIknBQggXCW4CJXeX4zZ1WKtc7vVdr1NWW0aP6B5c0+OaVrmmCBxrcTG5v/sd5T8uBxxdUCkvPI+xb1+/XyunpJovfs7mi59PuyUFh+o1XNInkcv7JzG5Vzwh+tb/uDBXW8nccIa9a05TcvZc61Fy90j6T0ql2+AENDrJoxFCuJPgJhCstZCX6bifNDDgl8sqzuKTg58A8MSIJ9Cq5dfanlVt387pXz+KNTcXdDri7r2HuF/8wq9LJdjsCisz8/jvlpOsOpiHcw47o07N9H5JzBqYwvgeca3eQuNUXlTD7p9OsW9dDpYaR9Kyzqih16gk+k9MJTY1LCj1EkK0D/ItGAj5mWC3gDHSsexCACmKwv9u+19sio1L0i5hVPKogF5PBI5it1P45pvk/79XwWZDn55O6kt/92trzZnSaj7eeoqPt55y63YanRHDdcPSmNE/ibAAzg7cnPyT5excfpKsbXnY6yKu6KQQBl6SRs+RieiN8pElhGiefFIEQu4ex23SwIAvubA1dysbcjagU+tk6Hc7ZisrI+exx6lYvRqAyKtmk/jb36EJ830tMJtdYc2hfD7YfJKfMs+6WmmiQ3RcN6wTN43sTEZ88FpCFEUh+0AxPy874TbqKbVXFIOndia9X6wsfyCE8IoEN4GQu9txmzQg4Jf6IusLAK7ufjVpEa07I63wD3NWFtn33U/tiROoDAaSfvc7oq71PW8qv9zMR1tO8tHWU27Dt0d2jeHmUZ2Z3i8paN1OTtmZRWz55hhnjpQCoFKr6D4sgcFT00hIl6R4IUTLSHATCPVbbgKooraCFSdWAI7gRrQ/5T/9RM6jj2GvqkKbkkynf/w/TP37+VTmsYJK/rX2KJ9tz6bW6ljTKdKk49qhnZg3Ko3uCeH+qLpPzhwpZfPiI5w+VAKARqem3/gUBk1NIyJWRj0JIXwjwY2/2e31gpvAttwsO7GMGlsNXSO7MiAu8K1Ewr+K3nufsy+8AIpCyKhRpL70d7QxMS0ub8fJYhatPsoP+3NR6rqeBqVFsWBsOpf3Tw56Kw1AQXYFmxcf4fieQgDUWhX9JqQybHo6oVGGINdOCNFRSHDjbyUnwFwGGj3E9wropRZnLQZgdrfZrT6Rmmg5xWYj7y9/oejd/wMg6oYbSPrtb1DpvJ/dV1EUVh3M55+rj7DlWJFr+6W9E7hnUjdGdIluE++N0vwqNn99jMPbzoLi6H7qMyaJ4TO7Eh7Tess0CCEuDhLc+Jsz3yahD2gCNxX9qbJT/Jz3M2qVmlkZswJ2HeFf9tpach57nPIfHOuOxf/6EWLvusvrAERRFNZlFfDXZYfYdaoEcKztdPXgVO6emEGPxOB3PQFUlprZtvQ4+9fluEY/dR+WwKjZGUQlhgS5dkKIjkqCG39rpXybr49+DcDo5NEkhiYG9FrCP+w1NWQ/8CCVa9ei0ulIfnEhkTNnel3OjpPFLPwu09VSY9JpuGVMOneM60pSZNtoBamptLBj2Ql2/5SN1eLI++ncL4bRV3UjvnPbCLyEEB2XBDf+dsY5UipwwY1dsfN1liO4uarbVQG7jvAfe2Ulp351H1WbN6MyGun02quEjRvnVRlnSqv5y/cH+XLHaQD0WjXzR6Xzy8ndiA9vG/kqVouNXStO8fMPJ6mttgKQlBHJmDkZpPSIDnLthBAXCwlu/M3ZcpMcuOBm+9nt5FTmEKYL45LOlwTsOsI/bBUVnLrrF1Tv3Ik6NJS0RW8QMny4x+dX19pYtOYIb6w+Qk1dK8h1wzrx68t6khzZdkYWHd9dwNpPD1OW7xh2HpsayuirupE+ILZN5P0IIS4eEtz4U2UBlOcAKkj0bThvU5YcXQLA9C7TMWrbRjeEaJi9qopT997rCGwiIuj81r8wDfQs8FUUha935fDid5mu2YRHdInmd1f2Y0An/y+c2VKl+dWs/fgQJ/Y6RkCFROoZO6cbPUYmoZbJ94QQQSDBjT85k4ljMsAQmLwCq93KypMrAbi86+UBuYbwD7vZTPb991O9bTvq8HA6/+c/Hs9hczS/gsc/2822E44Ze1OjTDx1RW9mDkhuM60gNqudHT+eZNu3x7FZ7Kg1KgZdmsbwK7rIMglCiKCSTyB/OhP4mYl35O2g2FxMpCGSYYmts+K48J5SW8vpBx+icsNGVCEhpL25yKPAxm5XeHfjcf78fSY1Fjsheg2/mtyNuyZktIl5apxyskpY9cFBis84VhFP7RXNpJt6Ep3k+3IRQgjhKwlu/KkV8m2Wn1gOwJS0KbL6dxul2O3kPPU0FatXozIYSHvjn4QMGdLseScKK3ny8z1sPOro3hnfPY4/XzeQ1Ki2k1dTU2lhwxdZHFh/BgBTuI5x1/Wg58jENtOiJIQQ8u3oT2f3Om4DNFLKrthZftIR3EztPDUg1xC+URSFvD//hbKlS0GrpdOrrxI6cmST51hsdv619iivLD+M2WrHpNPw9BW9uXlUepvKWTm0NZd1nxymutwCQN9xyYy5pjvG0MDN5ySEEC0hwY0/lWY7bqO7BqT4fQX7yKvKI0QbwuiU0QG5hvBN0X/+Q9G77wKQsvAFwiaMb/L4n08W8/QXe8jMLQdgXPdYXpgzgPTYttO9Y662svq/Bzm89SwAMSmhTJrXi5TuUcGtmBBCNEKCG38xl0NtheN+eFJALuFstZnYaSIGTduY10ScU/r11+T9718BSHj8cSJnNT5zdHmNhb/+cJD/23QCRYHoEB2/mdmXa4amtqnunZysEpb/Zz/lRTWo1CqGX9GFYTPS0WjVwa6aEEI0SoIbfynPddwaIsAQ5vfiFUVx5dtcmn6p38sXvqnJzOTMb38HQMzttxN7x+2NHvvDvlx+v3gfuWWO4d3XDE3lNzP7EhOqb5W6esJus7N16XG2f3ccRYGIOCPT7uhHUkbbGYIuhBCNkeDGX8pyHLfhyQEpPqski5PlJ9Gr9UxInRCQa4iWsVVUkP3QQyhmM6GTJpLw2KMNHpdbWsPvv97LD/sc3TvpsSG8MGcA47rHtWZ1m1WaX82P/9nH2WNlAPQancTEuT3Rm+TjQgjRPsinlb84W24C3CU1NmUsobq2k49xsVMUhTPP/AbLiZNoU5JJefFFVGr3Lhu7XeH9zSf4y/cHqTBb0apV3DMpgwcu6dGmhncDHN52lpXvZ2KpsaE3aZk8rxc9RsjaZUKI9kWCG38pdwyNDVTLzU8nfwKkS6qtKX7vfccK3zodnV56CW20+/pJJwureOyzXWyuW+RySOcoFl4zgN5JEcGobqNsFjvrP89izypHUnxy90im3t6XiNi2MwxdCCE8JcGNvziDmwj/BzdFNUVkFmUCSJdUG1K9axdn//d/AUh87DFMgwa59imKwgebT/LCtweoqrVh0ml48vLezB+djqYNDe8GKC+q4fs395J33NENNWxGOiNndUWtkaRhIUT7JMGNvwSw5WZr7lYAekT3INYU6/fyhfesxcVk/8/DYLEQPn060bfMd+07XVLNE5/tZl1WAQAju8bw1+sG0Tk2JFjVbVTu0VK+/eduqsstGEK0TL29L10GtK0cICGE8JYEN/4SwJybLWe2ADAqaZTfyxbeU+x2cp58EuuZM+jSO5P8p+dQqVQoisIn207x3JIDVJitGHVqHp/emwVju7SpyficDm89y4p3D2Cz2olLC+PyewYQESfdUEKI9k+CG38pc7bcpPi96C25juBmZFLTM92K1lH4r7eoXL0GlcFAp1deQRMeTnFlLY99tovlB/IAGNo5ir9eP4iMeP9PC+ArRVHY9u1xtnxzDIAuA+OYdkdfWexSCNFhyKeZPyhKvW4p/7bc5FbmcrzsOGqVmmFJslBmsFVt307+K68AkPTb32Ds3Zutx4t48MMdnCmtQa9R8+j0ntw5PqPN5dYAWC02fvq/TNdsw4OndWbMnG5tsmVJCCFaSoIbf6gqArtjvR3C/Dts1plv0zemLxH6tjXC5mJjq6gk54knwW4n8qrZRFxzDa+tzOLvPx7CZlfIiAvl/80bQr+UtjnRXVVZLd+9sZvco2Wo1SomzetF3/H+b2kUQohgk+DGH8rrJvALjQetf2eZ3XxmMwAjk6VLKtjy/vxnLNnZ6FJSiHnqGR79dDdf7DgNwDVDUnnu6v6EGtrmn1TJ2Sq+/sdOygtrMIRomXF3fzr1jgl2tYQQIiDa5idxexOgZGJFUVz5NpJMHFzlq1ZR8umnAET84TkWfLKPTUeL0KhV/PGqftw8Kj3INWxcQXY5X7+yk+pyCxHxJq68byDRSTIRpBCi45Lgxh8CNAw8uzybM5Vn0Kq1DE4Y7NeyheesxcWc+c1vATDcdDPztlnIyqsgzKDltZuHMqlnfJBr2Ljco6UseXUX5iorcWlhzH5wMKbwtrOGlRBCBIIEN/5QFpjgZnOuo0tqYNxAQnRtb46Ui8XZ51/AVlCApmsGvzKOJCuvguRII/9ZMII+yW03D+r0wWKWvL4bq9lGcrdIZt43EEOILtjVEkKIgJPgxh8C1HLjmt8mWbqkgqVi/XrKliwBtZr/HTKXzGILKZFGPrl3DJ2i227AmZ1ZxNLXdmO12EnrE83l9w5EZ2hb61gJIUSgSHDjDwHIuVEUxdVyI/PbBIe9pobcZ/8IwPoBU/jRHkt8uIEPfjG6TQc2pzKL+LYusEnvH8uMe/qjbWMLdAohRCBJcOMPztFSEf4bVnus7BhFNUUYNUYGxg/0W7nCcwWLFmE5eZKy0Cj+3mkK0SE63r9zFF3j2m4y7qm6FhubxU76gFguv3sAGp2sESWEuLgE9VOvoqKCp59+mlGjRjFp0iRef/11FEVp8pz9+/dz5513MmbMGCZNmsTjjz9Ofn5+K9W4EQFoudlbsBeAvrF90WskAbS1mY8cofBfbwHwj76z0YSF8X93jKJXUniQa9a4UwfOBTZdJLARQlzEgtpyc+2113LmzBn+8pe/UFxczC9/+UvOnj3Ls88+2+DxOTk5jBs3jiuuuIK///3vVFRU8Mwzz7Bs2TJ27tzZupV3slmgwjHlvj9zbvbk7wGgf1x/v5UpPKMoCmf+8CxYrWxO7MPP6YN57/YRDOjUNifnAzi1v4il/6wLbAbGMeMX/SWwEUJctIIW3Kxdu9YVlAwaNAiA4uJiHn30UR599FHCwy/8D3njxo2UlJTwxhtvuPYrisL06dPJyckhJSUIs61W5AEKqLUQ4r/VlJ0tNwPiBvitTOGZ0u9/oHrrVmo0Ot4aei1vLRjB8C5td8K7k/sL+fafeySwEUKIOkH7BFy5ciUpKSmuwAZg5syZVFdXs2nTpgbPGTZsGEajkWXLlgGOwGbZsmX07NmTxET/LnvgMWeXVFgSqP3zctbaajlYfBCAfnH9/FKm8IytuprDz74AwOc9p/Ds3VMZ191/Qau/ndxfyLev1wts7pbARgghgtZyc+rUKZKT3btxnI9PnTrV4DldunRhxYoVXHvttfz617+mqqqKtLQ0Vq5ciUbT8GgQs9mM2Wx2PS4rK/PTM6jjSib2X5fUoeJDWOwWogxRdArr5LdyRdMUReHzJ//CgJJ88kxRjH36f7i0T5CCZg+c3FfXYmO103VQHNN/0R+NVgIbIYQI2ieh1WpFr3dPlNXpdKjVaiwWS4PnnD17lltvvZVLLrmEDz74gPfffx+dTsedd96J3W5v8JyFCxcSGRnp+klLS/PvEwlAMvGegnP5NiqVrNbcWl77ZAM9ln8OgPnOX3HFiK5BrlHjTkhgI4QQjQpay01sbCyFhYVu24qLi7Hb7cTFNdwNsGjRIiorK3n33XfRah1Vz8jIoEePHqxYsYJp06ZdcM5TTz3FI4884npcVlbm3wAnABP4OfNtJJm49by2MgvVv17HaLNQ3qMv0+6bH+wqNerUgSK+qwtsMgbHc9ld/SSwEUKIeoL2iThs2DCOHDlCQUGBa9uGDRtc+xpSXl5OVFSUK7ABiI93rOvTWHeTwWAgIiLC7cevArD0giQTt6631x9j8Uc/ckn2zygqFQMW/rHNtpjlnSjjuzfOtdhIYCOEEBcK2qfi7NmziY+P5/e//z12u53Kykqef/55LrvsMrp06QI4gpn+/fuzePFiAC655BIOHjzIl19+CYDdbufFF18kJCSE0aNHB+eJ+LnlpqK2gmOlxwDoFyvJxIH28daTPPv1Pm7ftxSAqKuuwtS/bb7uJXlVLHl1FxazjU69o5l+l3RFCSFEQ4L2yRgaGsrixYv5/vvviY+PJz4+Hq1Wy7vvvus6xmazsW/fPoqLiwG4/PLLefHFF7nttttIS0sjISGB//73v3z44YekpqYG54n4Oedmf+F+FBRSQlOINcX6pUzRsMU7T/PkF3sYmneIwQVHUOl0xD9wf7Cr1aDKUjPf/GMn1eUW4tLCuPwemaBPCCEaE9RJ/EaOHElWVhbHjx/HYDBcME9NREQEe/bsoVOncyOGHn/8cX79619z+vRp9Ho9SUn+S+RtET8vveBMJpYh4IG1bF8uj3yyC+x2fn38RwCi581DF6wguQm11VaWvLqLsoIaIuKMzHpgMHqTrJwihBCNCfonpEqlomvXhkelqNVq+ve/MKlWo9HQuXPnQFetebVVUFPquO+nlpt9hfsAybcJpNWH8rn/vzuw2RUe050k5sxx1GFhxN57T7CrdgGbxc63b+yh4FQFpnAdsx4cTEiELMchhBBNkXZtX1ScddxqTWDwT6Jy/WHgwv+2HCvinve2UWuzM7NPHNM3O/K5Yu+8A210dJBr506xKyx/Zz+nDxajM2iY9cBgohLa7mrkQgjRVkhw44tqRy4QIbHgh9E1BdUF5FbmokJF39i+Ppcn3B3Jr+Cud7dSY7EzpVc8f9AexXLqFJq4OGJuuy3Y1bvAuk8Pk7U9D7VGxeX3DiC+c9tdtFMIIdoSCW58UVPiuDX6Z0FF5xDwblHdCNWF+qVM4VBUWcsd72ylrMbK0M5RvH7DAEre+hcAcffcgzqkbbWI7F2dze6V2QBMXdCXtD5td20rIYRoayS48YUz38YU5ZfinPk20mrjX2arjXve28aJwio6RZt489bh1Cz5BuuZM2gTEoi64fpgV9FN9sFi1nx8GIDRV2fQY0TbXQJCCCHaIglufFFd4rj1U8vNgcIDgAQ3/qQoCk99voetx4sJN2h5e8EIYvUqChctAiD2rrtQGwxBruU5pfnVfP/mHhS7Qs+RiQydnh7sKgkhRLsjwY0vnC03xii/FHegSIIbf3v1pyy+2HEajVrF6/OH0iMxnNKvv8aSk4MmPq5NtdrU1lj59p+7MVdaSUgPZ8r83m12pmQhhGjLJLjxhR9zbgqqC8irykOFil7RvXwuT8DXu3L424+HAPjjVf2Y0CMexWKh4I26Vps770RtNAazii6KorDyvUyKcioJidRz+b0D0eobXuleCCFE0yS48YUfc24yizIBSI9IJ0TXtpJb26PtJ4p59NNdANw1vis3j3J075R+/Q2W7Gw0sbFEz50bzCq62bPqtGNklFrFjLsHEBbddrrKhBCivZHgxhd+zLlxBjd9Yvr4XNbFLqekmrv/bxu1VjtT+yTy1BWO11Sx2Sh8800AYu+4HbXJFMxquuQeK2X9Z44E4rHXdie5m39yuIQQ4mIlwY0vXDk3vn8Z7S/cD0CfWAlufGGzK/zPxzsprKylb3IEr9w4GI3akbdS/uOP1J44gSYykugbbwxyTR1qKiz88OZe7DaFbkPiGXhJp+ZPEkII0SQJbnzhx4RiV8uNBDc+eWP1EbYcKyJUr+Gf84cSanCsMKIoCoVvOua1iZ4/H3Vo8OcRUhSFFf93gIpiM5EJJi65tY8kEAshhB9IcOMLPyUUl9WWcar8FCDdUr7YeaqEl+oSiJ+9qj/psecCmMr1G6jZvx+VyUT0/JuDVUU3+9ac5vjuAtRaFdN/0V8WwxRCCD+R4MYXfkooPlh0EICU0BQiDZJv0RIVZisPfbQDq13hyoHJXDvUfXXvwn/VtdrccH2bWEOqKKeSdZ9lATB2Tnfi02RpBSGE8BcJblpKUfyWUOycvK93TG8fK3Xx+sPX+zhRWEVqlInn5wxw696p3rWLqs2bQaslZsGC4FWyjs1iZ9l/9mGz2OncN4aBUyTPRggh/EmCm5ayVIPd4rjvY86Nc/I+ybdpmSW7c/hsezZqFbw0dzCRJp3b/oK6VpvIWbPQJScHo4puNi4+QmF2BcYwHZfc1geVWvJshBDCnyS4aSlnvo1KA3rfklNl2YWWO11SzdNf7AHgvindGdnVfYHJ2uPHqVi+AlQqYu+6MxhVdHNyfyG7ljvyqy69tQ+hkTKfjRBC+JsENy1VP9/GhxEu1dZqjpUdA6Rbyls2u8LDH++krMbK4LQoHry0xwXHFL3/AQBhkyZh6Nattavoprq8lhXvOALZ/pNS6TIwLqj1EUKIjkqCm5byU77NoeJD2BU7scZY4k3xvtfrIlJ/2PcrNw5Gp3F/O9sqKij94gsAom+ZH4wquiiKwk/vZVJVVkt0Ugjjru0e1PoIIURHJsFNS/lpAr/MwnPz28gcJ57Lyqvg5eUND/t2Kv3iS+xVVei7dSN07NjWrqKbfWtzXMO+L7urn6wbJYQQASTBTUu55riJ8qkYVzKxzG/jMUVRePrLPVhsCpf2Trhg2DeAYrdT9MH7AMTcMj+ogWPJ2SrWf+pYXmHM1d2I6yTDvoUQIpAkuGkpP7XcHC52fOn1jOnpa40uGp9uz2bLsSJMOg3PXtWvwcClYs0aLCdOoo6IIHL27CDU0kGxK6x8PxOrxU6n3tEMuiQtaHURQoiLhQQ3LeWHCfwURXElE2dEZvihUh1fYYWZF751tHY9Mq0nnaIbXkG9+P/eAyDquutQhwRvlfV963LIOVyCVq9myvzeMuxbCCFagQQ3LeWHhOLCmkLKa8tRoaJzeGf/1KuDe/7bA5RUWeiTHMHt47o0eIz5yBEqN2wAtZroefNat4L1VBSb2fiFYxbi0Vd1IyKubaxCLoQQHZ0ENy3lh0Uzj5ceByAlLAWj1uh7nTq4DVkFfPHzaVQqWHjNALSaht++xR9+BEDYlCnoO12Yj9MaFEVh9YcHqa2xkdg1ggEyC7EQQrQaCW5ayg+LZh4vOw5Al8guPleno6ux2Hjmq70A3Do6ncFpUQ0eZ6+qovSrrwCIvummVqrdhbK25zlGR2lUTJnfG7V0RwkhRKuR4Kal/JBzc6zUkW/TNaKrHyrUsb2+6gjHCipJjDDw6+m9Gj2u7NtvsVdUoOvcmdCxY1qxhufUVFhY+7FjmPrQGenEpoYFpR5CCHGxkuCmpfyQc+NsuekaKcFNU7LyKvjnKkfuyh9m9SPCqGv0WGeXVPTcG1Cpg/P2Xv/ZYarLLUQnhTB8Rpeg1EEIIS5mEty0lB9zbrpEdPG5Oh3V+XPazOif1Oix1Xv2ULNvHyqdjshrrmnFWp5zcn8hmZtyQQWX3NoHjU7+xIQQorXJJ29L+TiJX62tluyKbEBybpryybZTzc5p41T8kaPVJnzGDLTR0a1VRZfaGiurPjgIwIDJnUjK8G0OJCGEEC0jwU1L2G1gLnPcb2G31KnyU9gVO6G6UFlTqhG5pTX8aWnzc9oA2EpLKVv6LQDRN93YKvU735ZvjlFeWENYjIHRV8m8RUIIESwS3LSEs0sKWhzc1O+SkjWlLqQoCs98uYfyGiuD0qK4Y3zTeUmli79GqanB0KMHpiFDWqmW5+SfKmf3T6cAmDyvN3qjttXrIIQQwkGCm5ZwBje6ENDqW1SEc2Zi6ZJq2OKdOazIzEOvUfO/1w1E08RQakVRKPn8cwCi5s5t9WBRsSus+fAgigLdhiaQ3j+2Va8vhBDCnQQ3LeGHRTNlGHjj8svN/OGbfQA8eGl3eiY2vdCk+cABzAcPOhKJr5zZGlV0c2DjGXKPlqEzaBh/fY9Wv74QQgh3Ety0hB8WzZQJ/Br37Df7KKmy0Dc5gnsmdWv2+JIvvgQgbOqlaKKiAlw7d9UVtWyoW2Jh5KyuhEUbWvX6QgghLiTBTUv4GNwoiiLDwBux8UghS3afQa2Cv1w3EF0jSyw42WtrKfvmGwCi5sxpjSq62fTlEcyVVmJTQ2WJBSGEaCMkuGkJ5wR+LZyduKimiLLaMlSoSI9I91u12jurzc6zdd1R80Z1pn9q88FjxcpV2EpL0SYkEDpuXKCr6Cb3aCn7158BYOJNvdA0E4gJIYRoHfJp3BI+ttw4u6RkwUx3H245SWZuOZEmHb+e1vgSC/WVfunokoq8ajYqjSaQ1XNjt9lZ9V/HnDa9xyaT0j2q1a4thBCiaRLctISPCcWuLinJt3Eprqzlr8sc6zH9+rKeRIc2PwrNmp9Pxdq1AES2cpfUnlWnKcyuwBCiZeyc5vOChBBCtB4JblrCx5YbGSl1ob/9eJDSagu9k8KZN7KzR+eUfv0N2GyYBg3CkNF6k+ZVlpjZ/M1RAMbM6YYpvGXTAQghhAgMCW5awsecG9dIKUkmBmB/Thn/3XwSgN/P6ofWg9wVRVEo/aquS6qV15Fa/9lhLDU2ErpE0HdcSqteWwghRPMkuGkJP+XcyGrgjiDlD9/sw67AzAHJjOnm2QR4NXv3Yj6chcpgIOKKywNcy3OyM4s4vC0PlQomz+uFqonJBYUQQgSHBDct4UPOjcVuIbvcsWCmjJSCJbvPsOVYEUadmqeu6O3xec5E4vBp09CENz3Jn7/YbXbWfXoYgP4TU4nv3DrXFUII4R0JblrCh5abvKo8bIoNvVpPfMjFvWBmVa2Vhd86Fsb85aTuTS6MWZ/dbKZ0yVIAIudcHajqXWD/+jMUnq7EEKJl5CxZGFMIIdoqCW5awplz04Lg5kyFY16UpNAk1KqL++V/Y9URckprSI0ycc8kz4OFip9+wl5WhjY5mdDRowNYw3NqKi1sXuxIIh45qyvGMF2rXFcIIYT3Lu5v15Zytty0IKH4TKUjuEkOS/ZjhdqfU0VVvLHGESz8ZmYfjDrP56hxLrfQmnPbbFt6nJpKC9FJIfSbmNoq1xRCCNEyEtx4y1INNrPjfktabpzBTejFHdw8v/QAtVY7Y7vFMqN/ksfnWc6epXL9eqD1llsozq1kzypHntT463vITMRCCNHGyae0t5ytNio16L1PKM2pyAEgJfTiHUK87nAB3+/LRaNW8ftZ/VCpPB9xVLr4a7DbMQ0bhj69dRKy13+Whd2ukD4gls79PBvNJYQQIngkuPGWM7gxRIDa+5cvtzIXcOTcXIws9daPumV0Or2SPA8QFUVxjZKKuqZ1Wm1O7CvkxN5C1GoV467t3irXFEII4RsJbrzl4wR+OZWOlpuLNefm/U0nOJxXQXSIjoen9vTq3Jo9e6g9dgyVyUT49BkBquE5Npud9XVDvwdM6UR0UmjArymEEMJ3Etx4y4dh4IqiuFpuLsZuqcIKM3//0bF+1KPTexEZ4t2Io9IlSwAIv/RSNGGBDzT2rj5NcW4VxjAdI2Z2Cfj1hBBC+IcEN95yTeDnfXBTYi6h2loNQGJooh8r1T68vPww5TVW+iZHcOMIz9aPclJsNsq+/Q6AiCtnBqJ6bmoqLGxd4lgDbNTsDAxeBmJCCCGCR4Ibb/nQcuMcKRVnisOgMfizVm3e6ZJqPtrqWD/qN1f2QePlsgVVmzdjKyhAExlJ2Nixgaiimy3fHMVcZSU2NYy+4y++VjYhhGjPJLjxlrnMcWuQYeDeePWnLCw2hbHdYhnbLc7r80uXOmYkDp8xA5U+sKtwF+ZUsHetIzdq/A09UMv6UUII0a5IcOOt2krHrd77nA/n7MQXW3BzqqiKT7edAuDhad4lEQPYa2spX/YjAJEB7pJSFIX1nx5GsStkDI6nU6/ogF5PCCGE/0lw4y1zhePWEOb1qRdry83/++kwVrvChB5xjOgS4/X5lWvWYC8vR5uUhGnYsADU8Jzjewo5daAYtVbFWBn6LYQQ7ZI22BX44osvWLFiBUajkeuvv57RHqwVlJuby3vvvcexY8cYMmQIt99+O1ptKz0VX1puLsKlF44XVPL5z6eBlrXaAK5FMiOuuAJVC+YW8pTNamf9Z46h34MvTSMy3hSwawkhhAicoLbcPPjgg9xzzz0kJzu+7CdMmMAHH3zQ5Dnr16+nd+/ebNq0iYEDB7Jv3z5uuumm1qiuQ22547YFsxNfjN1S//jpMDa7wpRe8Qzt7H0Xj62igoqVK4HAd0ntXplNaV41pgg9wy7vEtBrCSGECJygtdzs37+fV199le+++47p06cDEBISwsMPP8wNN9yATnfh0Fuz2czcuXOZO3cuixYtcm0/c+ZMq9Xbl5Yb5wR+KWEXx+ib0yXVLN7peM4tbbWpWLECxWxG37Urhj59/Fk9N9UVtWxb6hj6PfqqDPTGoDdqCiGEaKGgtdx8++23REdHM23aNNe2m266ifz8fDZv3tzgOUuXLuX06dM89dRTbtudLT+tooU5NzXWGopqioCLp+Xm3Q3HsdkdI6QGdopqURllPzoSiSMuv9yrNai8teOHk9TW2IhLC6PPmIvj9yOEEB1V0P49zcrKIi0tDXW9HIquXbsCcOTIEcaPH3/BOTt27CApKQm73c5TTz1FVVUVQ4YMYf78+Y3m3JjNZsxms+txWVmZbxVvYcuNc2biEG0IEfoI3+rQDlSYrXy42TGvzV0TuraoDHt1NZXrHCuAh0+b6re6na+y1Oxa9XvU7AxUMvRbCCHataC13FRXVxMa6h4gmEwmNBoN1dXVDZ5TXl5ObW0tM2fOJDw8nPT0dP70pz8xZcoUrFZrg+csXLiQyMhI109aWppvFW9hzk39kVKBbIFoKz7eeopys5Vu8aFM7pnQojIqN2xAqalBl5KCoXdvP9fwnJ+/P4HVYiexawTp/WXVbyGEaO+C1nITERFBSUmJ27bS0lJsNhuRkQ1PkBcZGUlRURGffvopl1xyCQBXXXUV3bt359tvv2X27NkXnPPUU0/xyCOPuB6XlZX5FuC0sOXmYhopZbXZeXu9I3/lzvEZLZ4Er/zH5YCj1SZQAWFFcQ171zpGc42anXFRBJ5CCNHRBa3lZsCAARw7doyqqirXtr179wLQv3//Rs85f3+3bt0wmUxkZ2c3eI7BYCAiIsLtxyctzLm5mOa4+WHfWbKLq4kJ1XPN0NQWlaFYra5RUmGXXurP6rnZ9t0J7FaFlB5RdOotE/YJIURHELTg5qqrrkKlUvGvf/3Lte0f//gH/fv3dwUxVVVVLFiwgHXr1gEwY8YM4uLiWLx4seucH3/8kerqaoYPHx74StttULfwJXrvgpuciotnpNRb644CMH90OkadpkVlVG3/GVtpKZqoKEKGDvVn9VzKCqo5sM7xexk1u6u02gghRAcRtG6pxMREFi1axD333MOSJUsoLi7m1KlTfPfdd65jamtreffdd5k8eTLjx48nLCyM9957j5tuuolPP/0Uo9HIihUrePbZZxk5cmTgK11bce6+l8GNM6E4KTTJnzVqc3acLGbHyRL0GjW3jE5vcTnlKxxdUmFTpqAK0ASNW789jt2ukNYnmpQe0mojhBAdRVAn85g/fz6XXHIJ69evx2AwMGXKFMLDzyXqhoSE8Pbbb7uNnJoxYwZHjhxh9erVqNVqXn31VTp37tw6FXbm26g0oPVuVW9Xy01ox265eW/TCQCuHJRMfHjLVj5XFIXy5efybQKh5GwVBzc5As6RszMCcg0hhBDBEfSZylJSUrj++usb3KfX61mwYMEF22NiYpgzZ06Aa9aA+vk2XnRh2BU7uVWOL9KOnHNTVFnLkt2O3KJbx3RpcTnmAwew5pxBZTIROnasn2rnbuvSYyh2hfQBsSR19X6FdyGEEG2XLJzpDWe3lJddUgXVBVjtVjQqDfEh8QGoWNvwybZT1FrtDEiNZFCnlgcM5ctXABA2fhxqo9Ff1XMpyqnk0NazAIyaJa02QgjR0Uhw440WBjfOkVIJIQlo1UFvLAsIm13h/bouqVvGpPuUnFv+008AhF0SmFFSW5YcBQUyhsQT39n7NcKEEEK0bRLceKOFc9ycrXS0EiSGJPq7Rm3G6kN5ZBdXE2nSMWtgy/OKLGfOYM7MBLWasMmT/FhDh/xT5Rz5OR9UMPLKls2cLIQQom2T4MYbLZzjprCmEIA4U5y/a9Rm/N9GR6vNDcM7YdK3bPg3QMXq1QCYBg9GG+3/EUxblzgmF+wxLIHYVO9+j0IIIdoHCW680cJuqcJqR3ATa+qYU/ufKKxk9aF8AG4e1fLh3wAVK1cBEDZ5so+1ulDh6QqO7SoAFYyQVhshhOiwJLjxhg8JxdBxg5uPtp5CUWBiz3i6xHnXZVefvbqayk2bAALSJfXzMkfrUrch8UQntbyeQggh2jYJbrzRwpwbZ7dUrLHjBTdWm53PtzuWvpg30rdFSSs3bkIxmx0LZfbo4Y/quZQVVHN4ax4Aw2Z08WvZQggh2hYJbrxhrlsR3Mucm6LqIqBj5tysPpRPXrmZ2FA9l/T2LWG6YtUqwNEl5e+lEHYsO4liV+jcN0ZGSAkhRAcnwY03XC030i3l9Mm2UwDMGZKKXtvyt5OiKOeCmymTfa9YPZWlZg5scAzHHzrDt5wgIYQQbZ8EN95oQc6Noigdtlsqv9zMigOOrp4bRvjWJWU+cABrXh6qkBBC/LxO2K4Vp7BZ7SRlRJDSI8qvZQshhGh7JLjxRgtybiotlZhtZqDjtdx8teM0VrvC4LQoeib61tVTXtdqEzp2DGpDy9akakhNpYW9a04DjlwbWflbCCE6PgluvOHKufH8i9zZJRWqC8WkNQWiVkGhKIqrS+qG4b612sC5IeDhfh4Cvnd1NpYaG7GpoaQP6FjBpRBCiIZ5HNzYbDasVmsg69L2taDlpqN2Se04VcLhvAqMOjVXDvJtMVBrQQE1e/YAEDpxoj+qB4DFbGPXT46RXENn+LYkhBBCiPbD4+DmpZde4sknn3Q9Xr58OZ9//nlAKtVmtSDnpqNO4PfJVkerzRUDkokw6nwqq2LtOgCMffuiS0jwuW5O+9flUFNhISLOSPeh/itXCCFE29bibqmdO3eyceNGf9al7WtBy42zW6ojDQMvr7Hw9a4cwD9dUpVr1wAQOsl/rTY2q52dy08CMHR6OmqN9MAKIcTFQj7xveFaW8rznBtnt1SMMSYQNQqKxTtzqKq10S0+lFFdfXteitVKxbr1AIRN8F9wc3BzLhXFZkIi9fQe7Vu3mRBCiPZFghtPKUq9bikvcm46WLeUoih8sNnRIjJvlO95LNW7d2MvK0MTGYlp0EB/VBG7XWHHMkcdB0/tjEYnb3MhhLiYaL05ePXq1Tz66KMAbNu2jcrKStdjp8mTJ3PllVf6r4ZthbUGFJvjvjc5Nx1sRfCdp0o4cKYMvVbNtUNTfS6vYnVdl9T48ag0LV9NvL6jO/IpOVuFIURLvwkpfilTCCFE++FxcBMXF0d1dTXff/+92/bzHycnJ3fM4MaZbwMta7npIKOlnK02Vw5MJipE73N5FWscwU3YxAk+lwWOlqXt3x8HYOCUTuiNXsXvQgghOgCPP/kXLFjAggULAliVNs45x40uBNSetzB0pG6p0moLS3Y7EolvHtXZ5/IsZ/MwHzgAKhWh48f7XB7Ayf1FFJyqQGvQMHCK78nOQggh2h9JRvBUC0ZK1V96oSN0S335czY1Fju9EsMZ2jna5/Iq160FwNi/P9pY/wR/P39/AoB+41Mwhvk2RF0IIUT75HWbfWlpKW+//TYbN26kuLiYyMhIRowYwR133EFcXPv/Am9UC+a4qbBUnFt6oZ13SymKwn+3OLqkbh7d2S8T4lWscQQ3YX6auO9MVgk5h0tQa1QMnup7y5IQQoj2yauWmwMHDtC3b18ef/xxjh49ilqt5tSpU/z+97+nV69ebN26NVD1DD4fJvAL1YVi1BoDUatWszu7lENnHTMSXz3E90RixWKhcn3dEHA/5dts/8HRatN7dBJh0f5bn0oIIUT74lXLzR133MHgwYN5++23Sag3k2xxcTG/+tWvmD9/PgcOHECt7oC9Xa45bi7OkVJf/OxYxmB6vySfZyQGqNqxA3tFBZroaIz9+/tcXkF2OSf2FKJSwZDL0n0uTwghRPvlcRRy8OBBMjMz+eijj9wCG4Do6GjeffddzGYz6+v+G+9wXDk3ngc3ztmJ23uXVK3V7pqR+JqhnfxSZuVaR5dU6AT/DAF35tp0G5ZAVGKIz+UJIYRovzwObn7++WemTp1KeHjDs/Pq9XpmzpzJzz//7LfKtSkX8QR+qw7mUVxlIT7cwLhu/nkuzvlt/DErcUleFVnb8wAYNkNabYQQ4mLncXBTUFBAamrTuRadOnUiPz/f50q1SbUt75Zq70svfLnjNABXD05B64c1miy5uZgPHaobAj7O5/J2LDuJokB6/1jiOnm+NIYQQoiOyeNvKrPZjFbbdIqOTqejpqbG50q1SeaWJxS355ybkqpaVhxwtIr4q0vKOXGfaeBAtNG+DSmvKDaTuekMIK02QgghHFq8/EJDtm3bxvDhw32uVJvUgpybjtAttWT3GWptdvokR9AnOcIvZTqDG3+sAr5zxUnsVoXk7pEkd4/yuTwhhBDtn8/LL5wvObmDrsDckpybmva/9IJzlJQ/1pECUGprqdqwEYCwiZN8KqumwsK+tY5E52GXd/G1akIIIToIWX7BU66cG89zOpyjpdprt9Sxgkp+PlmCWgWzB/tnAcqqn3/GXlWFJjYWY98+PpW1e+UprGYbcWlhdO7bvvOahBBC+E8HnJAmQMzetdwoitLuu6WcicQTesSTEO6fSQhdsxJPmIDKh/mQLGYbu1c5WpWGTk/3y4zJQgghOgavvl2eeuopli1b1uC+7du3c/fdd/ulUm2Slzk3FZYKau21QPvsllIUha/qgptr/NQlBVCxZjXg+6zEmRvPYK60EhFnpNvQhOZPEEIIcdHwOLjJycnh008/5ZJLLmlw/7Bhw9i+fTt79uzxW+XaFC9zbpytNmG6sHa59MLPJ4s5WVRFiF7DtL6JfinTcvo0tVlHQK0mdFzLh4Db7Qo7lzvWuRo8tTNqtbTaCCGEOMfj4Gbz5s0MHjy4yeHgo0eP7sAzFHuXc+Oanbidd0nN6J9EiN7r9VUbVFE3K7Fp8GA0kZEtLufYrnzKCmowhGrpPaaDJrALIYRoMY+Dm+zsbFJSmk4qTUlJITs72+dKtUle5ty055FStVY7S3Y75o65Zoh/5rYBqFi7DvC9S2rnj45Wm/4TU9EZfF+6QQghRMficXATGxvLsWPHmjzm2LFjxMa2vy9zj3iZc9Oek4lXHsyjpMpCYoSBMX5abkGxWKjavBmA0HHjW1zOmSOl5B4tQ61VMWCy/wIvIYQQHYfHwc3EiRNZvnw5u3fvbnD/iRMn+OSTTxrNyWnXbFawVjvuexjctOdFM52JxFcNTkXjp3yW6j17HKuAR0b6NATc2WrTa1QSoZEGv9RNCCFEx+JxcNOpUyfuvPNOJk2axJ///Gd27dpFQUEBe/fu5dVXX2XUqFFcccUVDBo0KJD1DQ5L5bn7Hq4tVVRTBLS/lpvSKotruYWrB/tvlFTl+g0AhIwd0+JVwEvzqzi6y7F22eBLO/utbkIIIToWrzJFX3rpJTQaDb/5zW948sknXdvVajW33norr732mt8r2CY4823UWtDoPTqlva4r9e1ex3ILvZPC6Zvin+UWACo3OIKb0LFjW1zGnlWnQYHO/WKISfF8pmghhBAXF6+CG51OxyuvvMJTTz3F+vXrKSgoICoqirFjx5KWlhaoOgZf/XwbDyeLa6/dUl/+7OiSmjPEf602tvJyquu6M8NaGNxYzDYObHAkOUuujRBCiKa0aIxvUlIS1157rb/r0nbVljtuvVk0s6b9JRSfKqpiy/EiVH5cbgFwJBLbbOi7dEGX2rKg6eDmXGqrrUTEm0jv135eUyGEEK1Pll/whLPlxsN8m/a69MLinY5Wm7HdYkmONPmt3Iq6uY9a2iWlKAp76pZaGDApFZVM2ieEEKIJEtx4wss5bsot5e1u6QVFUfiibpSUPxOJoV6+zfiWzUqcc6iEopxKtHo1fcbKpH1CCCGaJsGNJ1o4x017Wnphz+lSjuZXYtSpuXyA/wKI2uxsLCdOgkZDyMiRLatbXatNr1FJGEJ0fqubEEKIjkmCG094mXPTHrukvqhLJL6sbxJhBv8stwDnhoCbBg1CE+Z5zpJTeVENR3c5krMlkVgIIYQnJLjxhJc5NwU17WuklMVm55tdOYB/R0lBvS6pcS3Lt9m35jSKXSG1ZxSxqd4HR0IIIS4+Etx4wtt1pdpZy826wwUUVtYSG6pnQg//zcuj2GxUbdoEtCyZ2GqxsW+dI+gaMEVabYQQQnhGghtPOFcE97Zbqp203DgTiWcNSkGr8d9bouZAJrbSUtRhYZgGDPD6/KztedRUWAiLNtB1YPuaDFEIIUTwSHDjCS+DG+fSC+1hduKqWis/7s8FAtAltbFuyYVRo1BpvcvjURSFPSsdicT9J6Wi9mPQJYQQomOTbwxPeJtz45yduB10S/2UmUeNxU56bAgDO0X6teyqjRsBCB092utzzx4vI+9EORqtmr7j/DehoBBCiI5PghtPtDTnph10Sy3Z5VjSYOaAZFQeLi3hCXtNDVXbtgMQOnaM1+c7W216DE/AFO7Zel5CCCEESHDjGW9zbmrax6KZFWYrKw86VgCfOdC/k+NV79iBUluLNiEBfUaGV+dWldWStd1RL0kkFkII4S0JbjxhqXLc6kKaPVRRlHbTLbXiwFnMVjsZcaH0TfbfCuAAlRvquqTGjPG6RWjf2tPYbQqJXSNISPdvvYQQQnR8Etx4orYuuNE3H9yUW8qx2C1A2w9uluyu65Ia6N8uKYBKZ76Nl11Sdpud/c7h3zJpnxBCiBbw31S0LXT06FFWr16N0WjksssuIzbW84Dgs88+Izc3l9tvv53QUM/yYVrE4vnyC858m3BdOAaNIXB18lF5jYXVB/MBuHKgfxN2bSUl1OzbB0DIaO+Cm5P7iqgoNmMM1dF9aIJf6yWEEOLiENSWm3/961/079+fxYsX88Ybb9C9e3c21v3H35xvvvmGBQsW8MADD1BcXBzYijpHS3nQLdVeuqR+3H+WWpud7glh9Ez078y/lZu3gKKg794NXaJ3Acq+tY45d3qPSUKjk4ZFIYQQ3gvat0dOTg4PPPAAL730El999RWrV69m1qxZ3H777c2ee/r0aX75y1/y/PPPt0JN8apbyplMHGOMCWSNfLZ0d2BGSQFUbnLm23g3K3F5UQ0n9jpev34T/DvnjhBCiItH0IKbxYsXo9Vque2221zb7rvvPg4ePMjOnTsbPc9mszFv3jyeeOIJ+vXrF/iK2u1grXbc1zXf9dUell4orbaw5rCzS8q/o6QAqlzJxN7Nb3NgfQ6KAqk9o4hKbD6QFEIIIRoStOBm//79dOnSBaPR6NrWp08f177GPPfcc4SEhHD//fd7dB2z2UxZWZnbj1ecI6XAs5ab6rY/DHzVwTwsNoUeCWH0SAz3a9mW06epPXECNBpCRozw+Dy7zc7+9Y7WJGm1EUII4YugBTfl5eVERUW5bYuIiECj0TQagKxZs4ZFixbx9ttve9yVsnDhQiIjI10/aWlp3lXUFdyoQGtq9nBnt1RbnsBv2f6zAFzWL9HvZVfWLZRpGjAATbjngdOJfUVUlpgxhunIGBzv93oJIYS4eARttJTJZKK8vNxtW2VlJTabjZCQhltI7r//fkaPHs1nn30GwMGDBwF45513mDx5MuPHj7/gnKeeeopHHnnE9bisrMy7AKd+MrG6+ViwrXdLma021yipaX2T/F6+a34bL4eAn0skTpZEYiGEED4JWnDTo0cPPvroI2w2GxqNBnAMC3fua8icOXMoLCwkMzMTgOxsxxT9R44ccXVpnc9gMGAw+DAk2xnceNAlBedGS7XVbqlNR4uoMFtJCDcwMNW/a0kpdvu5+W3GeB7cVBSbOelMJB4v60gJIYTwTdCCmyuvvJLHHnuMpUuXMnv2bADee+89kpKSGFGXq1FbW8ubb77J1KlT6d27N88++6xbGcuXL2fx4sU899xzdOoUoAnfvJidGNp+t5RzBfCpfRNRq/07Ssp8+DC2oiJUJhOmQYM8Pu/QllwUBZK7R0oisRBCCJ8FLbjp2bMnjz32GLfddhv33nsvRUVFvP3223z44YdotY5qVVVV8cADD/D222/Tu3fv4FTU1XLT/EgpRVHadLeUoigs3+9Ys2la3wDk29R1SYWMGI5K79lil4qikLnRkUjce7T/R24JIYS4+AQ1ueHFF1/ko48+wm63k5iYyNatW7n22mtd+w0GA/fdd1+jXU5paWncd999hIX5dxI6N1603LT1pRf2nC4lt6yGUL2Gsd38X7+WzG+Td7yc4twqtDo13YbJjMRCCCF8F/TlF6ZPn8706dMb3GcymXj11VcbPbdXr15N7vcL1wR+zbfcOPNt2urSCz/WjZKa2DMeg1bj17KV2lqqtm4DvEsmztzkaLXpOjgegynob0chhBAdgAxLaU5thePWg+CmLXdJwbngJhBdUtW7d6NUVaGJicHQSEL4+WwWO4e3OurUe4z/R24JIYS4OElw0xwvuqVcycRtMLg5VVRFZm45GrWKS3r7v/vHNQR89GhUHgyZBzi2uwBzlZXQKAOderft5SqEEEK0HxLcNMebdaWq2+5IqR/2OUZJjegSTVSIZ8m+3nANAfeiS+pgXZdUr1FJfh+5JYQQ4uIlwU1zLM5J/Np3t9SSuoUyL+/v/xFJtooKqnfvBjyf36aqrJYT+4oA6ZISQgjhXxLcNMeLhOK2OsfNqaIqdp4qQa2CKwYEYKHMLVvBZkOX3hldqmfrQh3akotiV0joEkF0UvOvrRBCCOEpCW6aY/F8huK2Ojuxs9VmTLdY4sP9P4rLNQR8tBejpDY6usn6SKuNEEIIP5Pgpjm17b9b6ptdOQBcOTAwSxtUbd4CQOjoUR4dn3+qnMLTFai1KroP9//ILSGEEBc3CW6a401CcRvsljqSX8H+M2Vo1Spm9PN/K4m1uBhz3QKmISNHenTOwbpWm64D4zCG6vxeJyGEEBc3CW6a4+FQcEVRKK4pBiDG1HaGNS/Z5eiSGt8jjuhQ/4+ScrbaGHr0QBvbfFBns9k5tNUR3MhyC0IIIQJBgpvmuNaWanqJh2prNWabGYBoQ3Sga+URRVH4ZrejS2pWoLqktmwGIGSUZ11SJ/cWUl1uwRShJ61f2wkChRBCdBwS3DTH4lm3lLNLyqgxEuLhCuKBdvBsOVl5Feg1aqb1C0xuS+UmR3Djab5N5iZHq03PkYloNPL2E0II4X/y7dIcZ85NMwnFri4pY9tpjXB2SU3qFU+E0f+5LZa8PGqPHgWVipARI5o9vqbCwvHdjhFl0iUlhBAiUCS4aY5rbammW2OcwU20sW10SQF8u9cR3Fw5MDCBhDPfxtinD5rIyGaPP7ztLHabQlxaGHGdAriSuxBCiIuaBDfN8TChuKjGMdtuWwlusvLKOZpfiV6jDshaUuB9vk3mRkewJa02QgghAkmCm6bYbWCtcdxvZoZiZ3DTVrqlftjnWG17bPdYwgPQJQVQWddyEzKq+SHgRTmV5J0oR61W0XOkzG0jhBAicCS4aYqz1QaaDW7aWs6Nc6HM6QGY2wbAkpOD5eRJ0GgIGT682eMz6xbJ7Nw/FlO4/4ekCyGEEE4S3DTFmUyMCrTGJg9tS91SOSXV7M4uRaWCqX0CNErKmW/Tvx+asKbzZ+x2hUObncstSJeUEEKIwJLgpimudaVCQaVq8tAic11w0wbmuFlW12ozPD06IGtJAVRt2gRA6KjRzR576kARlaW1GEN1pA9oO7M3CyGE6JgkuGmKa12p5uetcXZLtYV1pZz5NoHqklIUhcotnufbHKxLJO4xIhGNVt5yQgghAku+aZrixbpSrm6pILfcFFfWsuW4oy4By7c5eRLrmTOg0xEydGiTx5qrrRzdVTe3jawALoQQohVIcNMUi2dLL9RfVyrYOTfLD5zFZlfokxxBWkxgZkqu3OwYAm4aNBC1ydTksVnbzmKz2IlJCSW+c3hA6iOEEELUJ8FNU2o9m+Om/rpSwR4tda5LKnDDrZ2T94WObH5+m8y6FcB7jU5C1UzekhBCCOEPEtw0pZ2tK1VVa2Xt4XwgwPk2dS03Ic2sJ1WaX03uUceorV4jpUtKCCFE65DgpinOpRc8XFcq2F1Sqw/mY7ba6RwTQu+kwHQB1R49iq2gAJXBgGnw4CaPPbTF0WrTqXc0oVGBGbUlhBBCnE+Cm6Z4mFDcVibwOzdxX2LAuoAq64aAm4YOQa1vfDI+RVE4WDe3Ta9R0mojhBCi9Uhw05R2tK5UrdXOisw8IHBdUlAv36aZ9aTyjpdTmleNVq+m6+D4gNVHCCGEOJ822BVo02o9Gy3VFtaV2nS0kPIaK3FheoZ0DkyQpdjtVG32bLHMg3VdUl0HxaM3yttMCNE+2Ww2LBZLsKtxUdDpdGg0Gr+UJd86TfEwobgtdEs5u6Sm9U1Eow5Ml5T50CFspaWoQkIw9e/f6HE2m52sbY5RW9IlJYRojxRFITc3l5KSkmBX5aISFRVFUpLvo2sluGmKh0PBg90tZbcr/LjfEUxcFsAuKWe+TciwYah0ja80fmp/EdXlFkzhOtL6BH85CiGE8JYzsElISCAkJESmsggwRVGoqqoiL8+RXpGc7Ns6hBLcNMU5WqqZFcGDva7UzuwS8srNhBm0jO0WuOUfXPk2zQwBdy6S2WNEImqNpHUJIdoXm83mCmxiY4O/pM7FwlQ3KWxeXh4JCQk+dVHJN09TPEwoDva6Us4uqSm9EzBo/dNfeT7FaqVq61YAQpqYvK+23nIL0iUlhGiPnDk2ISHBm7fsYuV8zX3Nc5LgpimuoeDNtNwEcV0pRVFY1gqzEtccOIC9ogJ1eDjGvn0aPe7IjnxsFjtRiSGy3IIQol2TrqjW56/XXIKbprjWlmo8uAn2ulKH8yo4VlCJXqtmcq+EgF3HNUpqxAhUTTQVOifu6zVKllsQQggRHJJz0xQPEoqDva7UD3sdwcT47nGEGQL366zc5Ahumsq3qSg2k33QEej1HBm4ViQhhBBNy8vL46effuLMmTMkJSUxbNgwevbs6dr/2WefkZWVBYBerycmJoZBgwYxZMiQC8r67LPP0Gq1XH311V7X4+OPP+bEiRM88sgjaLWtF3JIy01TPBgKHux1pX7Yf25W4kBRamup+vlnoOn5bQ5tzQUFkrtHEhHX9GrhQgghAuO5556jS5cuvP3225w8eZKlS5cyZ84cbrrpJtcx77zzDu+88w4lJSWcOXOGFStWMHPmTPr06cOGDRvcynvnnXd4//33va5HWVkZd9xxB8888wxLlizx+Xl5Q1pumuLB2lLB7JLKLq5i7+ky1CqY2idwwU313r0oVVVooqIw9OjR6HGHNjtyf3rKIplCCBEUL730Es899xw//vgjkyZNctu3bNkyt8f9+/fnxRdfdD22WCz88pe/ZPr06ezatYuMjAyf6vLf//6XlJQUpk2bxr///e8Wtfy0lLTcNMWDhOJgTuDnTCQe3iWG2LDALUxZf1Zilbrht0xBdgWFpytQa1V0Hxa43B8hhBANs1gsPPfcc/ziF7+4ILABuOyyy5o8X6fT8frrrxMSEsIrr7zic33eeust7rrrLu69916+++47cnJyfC7TU9Jy0xi7DepyaZoKboI5gd+5hTID21JSWTe/TciokY0e40wk7tI/DmNo4xP8CSFEe6QoCtUWW1CubdJpPBqgsWvXLoqLi5sNYpqi1+uZOHEiGzdubHEZzrrs3r2bpUuXkpiYyPDhw3n77bd55plnfCrXUxLcNMa5rhQ0mVAcrHWlCivMbD3uuPZlfQPXJWU3m6muy7cJHT264WPsCoe21HVJjZJEYiFEx1NtsdH3dz8E5dr7/zidEH3zX9eFhY4c0NTUVJ+uFxsby86dO30q46233mL27NkkJjq+E+6++26ef/55nn766VYZSSvBTWOcycQqNWgb7/IJVrfUigN52BXomxxBWkzgEpmrd+5Cqa1FEx+HvmvXBo/JOVRMZYkZQ4iWLv3jAlYXIYQQjYuOdvQgnDlzxqdyiouLiYqK8ujYJUuWsHfvXtfjX//619hsNj744AOmTp3qyumpqqri6NGjrFy5kksuucSn+nlCgpvGOFtudKHQRJQZrG6p1uqSqtrsWE8qdNToRqPtzE2OunQbloBGJ2lcQoiOx6TTsP+P04N2bU8MGjSI8PBwVq5cyaxZs1p0LavVyrp16zxO/q2srHRbXFRRFL744guMRiMZGRlu+yZNmsS///1vCW6CyhncNLMieDDWlaowW1mb5VjiYHr/wHYDNZdvU1tj5cjPjoXO+ozxbaEzIYRoq1QqlUddQ8FkMBh49NFHeeGFF5g/fz5Dhw51279582ZGNTGdh6IoPPXUUxQWFnL//fd7dM25c+cyd+5ct21vvfUWN954o9tILIDVq1czY8YMiouLXa1MgdK2f1PBZPFs6YVgrCu1+mA+tVY76bEh9EoM3BIH9qoqqnfvBhrPtznycx7WWsdyC4ldIwJWFyGEEM37zW9+Q2FhIePGjWP27Nn069eP/Px8tm3bRnR0NN9++63r2IMHD/Liiy9it9vJzc1l2bJllJeX89VXX9Gnj/syO85j6+vfvz9XXnml27ajR4+yatUq/vCHP1xQt/HjxxMWFsb777/PAw884L8n3QAJbhpTv1uqCcFYV6p+l1QgE7Oqft4BFgvalGR0nTo1eEzmRkddeo+R5RaEECLY1Go1r7zyCg8++CDLli0jNzeXPn36cOuttzJixAjXcddffz0HDhygpKQEnU5H165dee2115g0adIFMwnXP7a+yspKzpebm8tTTz3FuHHjLtin0Wj429/+htVq9c+TbYIEN43xYHbiYKwrVWu1szLT0Q0UyFmJASrrZqlsLN+mNL+KnMMloJIVwIUQoi3p1q0bv/zlLxvdf9ttt3lcljfHjh07lrFjxza6/9Zbb/W4LF9I9mdj2ui6UhuOFFButhIfbmBIWmADqsq6eQ5CG3mjOhOJ0/rEEBZtDGhdhBBCCE9JcNMY59ILTeTcBGNdqR/qZiWe1jcRtTpw3UDWwkLMBw4AEDp2zAX7FbvCwXpdUkIIIURbIcFNYzxIKM6vygcgPiS+NWqE3a7w435HcBPwWYk3OYaAG3r3Rht7YbL06cMllBfVoDdqyBjUOs9fCCGE8IQEN43xoFvqbJUj0EgIaZ21lHacKqagwky4UcuYjMCOznLl24y5sNUGIHODY5Ko7iMS0eo9m4NBCCGEaA0S3DTG4pznpvGWm7OVjuAmMaR1lhxwdkld0jsBvTZwvzpFUajc0Hi+TW21zG0jhBCi7ZLgpjFetNwkhgY+uFEUpdVmJa49fhzrmTOodDpChg+7YH/Wz3lYLTK3jRBCiLZJgpvGeDAU3BXctELLzcGz5ZworEKvVTOpZ2BzXJxdUqahQ1GbTBfsz9zo6JKSuW2EEEK0RRLcNMY1Wiqs0UOc3VJJIYEfLfTDXse1JnSPI9QQ2OmJmuqSKsmr4kxWKSoV9BolXVJCCCHaHgluGtPGuqVaq0tKsVqp2rwZaHgI+EG3uW0aXy1dCCGECBaZobgxzXRLWe1WCqodi1cGerTUqaIq9p8pQ62CS/sE9lrVe/Zgr6hAHRmJsW9ft32KXSFzk7NLSlpthBCiLSsuLiY3N5ekpKQLFqo8duwYpaWlAOj1emJiYkhKavif52PHjqFSqejSpYtH183Pz+f06dOux+Hh4XTq1AmDofX+IQ56y43FYmHHjh0cqJswzhMlJSXs2LGDgoKCwFWsmbWlCqsLsSk2NCoNscbADsteVje3zYguMcSGBfbNcW7JhVGoNO5DvE8fKqaiyIzepKXroLiA1kMIIUTLrF+/nrFjx5Kamso111xDz5496d69O//+979dxzzwwANMnjyZBQsWMHfuXAYMGEBiYiIPP/zwBWtIPfDAAzz66KMeX//dd99l+PDhLFiwgAULFjB16lTi4uJYuHChv55is4Ia3KxcuZK0tDSuueYaJkyYwKBBgzhx4kSjxx84cIArr7ySjIwM7rjjDrp06cKcOXMoKyvzf+WaablxdknFh8SjUQd2npfW6pICqFy7DoDQBhY9cy6S2WN4gsxtI4QQbdDKlSuZMmUKU6ZMoaCggAMHDpCfn8+KFSs4ePCg27FTp05l586d7Nmzh/z8fL799ltWrlzJuHHjqKio8KkeUVFR7Ny5k507d3Ls2DHeeustnn76abZv3+5TuZ4KWnBTVlbG9ddfz2233caxY8c4c+YMsbGx3HLLLY2ec/jwYX75y19SVFTEjh07OHLkCLt37/YqovRYMzk3rTVSqrDCzLbjjpXHp/UN7LWsxcVU79oFQNjECW776s9t03usdEkJIURb9Ktf/YpJkybx/PPPExJy7vsrPT2dv/zlL02eO2zYMJYuXcrRo0d5/fXX/VqvSy65BIDs7Gy/ltuYoOXcLF68mLKyMp566ikAdDodTzzxBDNmzCArK4vu3btfcM7s2bPdHicmJnLNNdewdOlS/1ewmdFSeVWOL/pABzcrDuRhV6BfSgRpMYFdv6py/QZQFAw9e6JLdg9gnHPbRCeFkNhF5rYRQlxkFOVci35r04WAB9NuHDx4kMzMTH73u9+1+FKpqalMnjyZ77//nscff7zF5dhsNnbu3Ak4GjNef/11MjIymDJlSovL9EbQgpsdO3aQkZFBVFSUa9vIkSNd+xoKbhqybdu2Jo81m82YzWbXY4+7sJrrlqpsnZFSrdklVbFmNQBhkyZesO/c3DbJMreNEOLiY6mCF1KCc+2nc5qcLd/p5MmTAGRkZPh0uc6dO7Nq1SqfyigvL2fBggUAVFRUkJ+fz5///GciIlrnn+OgBTdFRUXEnrcgY1RUFGq1mqKiIo/KeOONN1i3bh1r1qxp9JiFCxfy7LPPelc5ay3Yah33G3lD5VY5go5AttxUmK2szXIkTQd8CLjN5sq3CZvoHtzUn9um50hZAVwIIdoivV4P4HO+jNls9nhk08mTJ92+swcOHAicy7lx2rVrF+PGjUOv13PHHXf4VD9PBC240el01NTUuG2rra3Fbre7fkFN+fzzz3nwwQdZtGgRYxpZ3BHgqaee4pFHHnE9LisrIy0trenCzfVadwwNR5mtsa7UmkP51FrtpMeG0DOx8ckE/aFm715sxcWow8MxDR7sts81t01fmdtGCHGR0oU4WlCCdW0PDBgwALVaze7du7n00ktbfLkdO3bQp08fj45dtGiRW2rIxo0bGzxu0KBBjBs3jk8//bRjBzfp6el88803btuc4+I7d+7c5Llffvkl8+bN49VXX232RTIYDN6Pra9xjP1HHw6NjIRqjQn86ndJBborqGK1o/UrdNw4VDqda7tiV9y6pIQQ4qKkUnnUNRRMMTExXHfddfz1r3/lzjvvvKALqLq6GlMDS+rU9/XXX7N7926ef/55j675/PPPe3xsQUGBz11mngpacDNt2jR++9vfsmXLFleuzeLFiwkLC3O1xNhsNjZu3EjPnj1JSEhwHXPjjTfyj3/8g7vvvjswlXMGN8aGW20URQl4QnGt1c5PmY5rTO8X+BmQK+q69s7vkso+VExFsRlDiMxtI4QQbd1rr73GpZdeyujRo3nsscfo168f+fn5bNu2jS+++IJddSNiAUpLS9m5cyd2u53c3Fx++OEH3njjDR5//HGuvPJKt3Kdx9YXExPTaGNE/YTiyspKvvzyS3bs2MELL7zg1+fbmKAFN6NGjWLOnDncfPPN/OlPf6KoqIjf/va3/P73v3cNXysvL2fChAm8/fbbLFiwgOXLl3PDDTcwb948+vXrx7p1jhwRrVbL6NGj/Vc5Z7eUMbLB3cXmYix2CypUxJsCs4jlpqOFlNdYiQszMCQtuvkTfGAtKKBm714AwiaMd9vnbLXpMTwRrU7mthFCiLYsLi6OzZs388477/DVV1/xxhtvkJiYyIgRI/jpp59cx2VkZLBmzRoWLFiATqcjJiaGgQMHsmHDBoYNG+ZWZv1j65s5c2aDrTYJCQmkp6e7jg8JCaFbt26sXbuWcQ3MoRYIQV1+4cMPP+Tll1/mP//5DwaDgUWLFnHzzTe79mu1WsaNG0dioqPlIisrixEjRnD48GGefPJJ13Hh4eF89913/qtYTV1w00y+TYwxBp1G1+AxvnJ2SU3rm4haHeAuqbpEYmO/fmjjzwVrtdVWjv6cD0iXlBBCtBdGo5F7772Xe++9t9Fj/vGPf3hcnjfHAtx6663ceuutXp3jb0ENbgwGA0888QRPPPFEg/vDwsJcrTNAs78sv2mmWyrQ+TZ2u8KPdUsutE6XVMNDwLO2n5vbJqFLeMDrIYQQQvhD0NeWapOa6ZYK9Eipndkl5JWbCTNoGdMtsOtWKVarY/I+IHSC+6zEMreNEEKI9kiCm4Y01y0V4KUXnF1SU3onYNAGNs+letcu7GVlaCIjMdXNTwBQcraKM0ccc9v0GiVz2wghhGg/JLhpSBC7pRRFYdm+VuyScg4BnzDBbRXwzE2OVpu0vrGERsncNkIIIdoPCW4a0ly3VABbbrLyKjhWUIleo2ZyrwS/l38+1xDwevk2drvimriv9xhptRFCCNG+SHDTEGfLTRBmJ3Z2SY3rHkuYIbD53pazZzFnZoJKRej4c0PATx+UuW2EEEK0XxLcNMTVLXVhy42iKAHtlvrB1SXVGgtlOlptTAMHoo0+N5eOa26bETK3jRBCiPZHgpuGmBtPKC63lFNtrQYgIcS/3UY5JdXsOe1I4p3aN/D5NpV1wU1ovS4pc7WVoztkbhshhBDtlwQ3DalpPOfG2SUVaYjEpG16jQ5vLavrkhqeHk1cWGCTeJXaWtcQ8LCJk1zbs7addcxtkxxKQrrMbSOEEKL9keCmIU2MlgrkmlKt2SVV9fPP2Kuq0MTFYex7bvXX/escq972HhP4xTqFEEKIQJDg5nyK0mS3lDPfxt9dUsWVtWw5XgTAZX1bId+mbgh42IQJqNSOt8HZ42XknShHrVXRR7qkhBCiXSopKeGPf/wjo0ePJj09nVGjRnH//fdz9OhR1zG33HILSUlJJCUl0blzZwYPHsxtt93GDz/8cEF5t9xyC7/4xS+8rsfhw4f51a9+xcCBA+nSpQuTJ0/m+eefp7S01Kfn5wkJbs5nqQa71XG/gW6pnApHy0ZSqH8DkBWZedjsCr2TwukcG+LXshtSsfbCIeB715wGoPuwBEzh+oDXQQghhH9lZ2czbNgwvv/+e37/+9+zZs0aXnvtNQYMGMBNN93kOq64uJgRI0awc+dONm7cyL///W969uzJtddey5133omiKG7HFhcXe1WP5cuXM2TIEKqqqli0aBGrV6/mueeew2Kx8Mgjj/jt+TYmqGtLtUnOLimVBvShF+w+U+kYSZQSmuLXyzqHgLdGl1Rtdja1WUdAoyF07FgAaiotZG11tEr1n9gp4HUQQgjhf3fffTcqlYqVK1diMDhyN9PT0xk+fPgFrS8Gg4GkJMd3TmpqKsOGDWP8+PFMnjyZyy67jLlz57aoDpWVlcybN4+rr76ad955x7U9PT2dCRMmYLfbW/bkvCDBzflcXVLh0EDOibPlJjnMf9021bU21h52jFBqjeCm/IdlAIQMH44mwtH1dnBTLlaLndjUMJIyGp7fRwghLlaKorhGyrY2k9bkUQ7k2bNn+e6773jttddcgU19anXznTWTJk1i5MiRfPTRRy0ObpYuXUp+fj5PP/10g/s9qYevJLg5XxMjpSAwLTerD+VTY7HTKdpEn+TAj1AqW+boU42YMR1w/NE6u6T6T0qVRGIhhDhPtbWaUf8dFZRrb563mRBd8+kK+/fvB6Bv374+Xa9fv35s2bKlxefv27cPrVZLz549faqHLyTn5nxNjJSy2W2uoeApYf4LbpbV65IKdGBhycmhZtduUKkInzoVgOyDxZScrUJn1NBzZODn1xFCCOF/NpsNAL3et5xJjUbjKqul9dBoNGg0wZsEVlpuzmd2Lr1wYctNfnU+VsWKVqUl3hTvl8tZbHZWZDqGl7dKl9SPPwIQMmwY2njHc9i72tFq03tUEnqjvCWEEOJ8Jq2JzfM2B+3ansjIyAAgKyuLsXX5lC1x9OhROnfu7NGx999/P5999pnbuRkZGZjNZk6dOuVxOf4m32Tna6JbyplvkxiaiEbtn4h0y7EiSqstxIbqGZYe3fwJPir73tElFT7d0SVVXlTDsV0FAPSbmBrw6wshRHukUqk86hoKpoyMDIYMGcI///lPbr311haVkZWVxZo1a/j73//u0fHPP/88v/nNb1yPTSYTM2fOxGg08vrrr/Piiy+2qB6+km6p8zXRLZVTWZdMHOq/ZGLnKKmpfRLRqAPcJXX2LNU7dgAQftk0APauzkaxK6T2iiY2NSyg1xdCCBFYixYtYvfu3dx1113k5Di+s2pra9m8eTMLFixo9Lza2lq+++47Lr/8coYNG+bxvDaRkZGu+XKSkhypFYmJifz1r3/lpZde4pVXXqGyshKA8vJyvvrqK/7whz/4+jSbJcHN+ZqYwO9MRV0ysZ/ybSw2O0t3O8qcMaAVuqSWObqkTEOHoktMxFJrY99ax5t/0CUy/FsIIdq7ESNGsHnzZgoKCujRowcxMTHExMTwyCOPcO2117odu2TJEpKSkkhISCAyMpLHH3+c22+/nVWrVmE0Ghs8tv7P/fff32g97rvvPj777DM+/PBDVx06d+7M+++/zzXXXBOQ516fdEudr4kVwf3dcrPqYD6FlbXEhxuY0D3OL2U2pbxu5smI6ZcBcGhzLuYqKxFxRtIHBP76QgghAq9///589dVX2O12SktLiYyMvGD49fvvv09NTQ0AOp2OyMhItNqGQ4L6x9ZnMjWdCzRr1ixmzZpFbW0tVVVVREVFtewJtYAEN+dz5dw03nKTGuaf3JTPtp8CYM6QVLSawDaiWfLyqNq+HYDwadNQFIXdK7MBGDC5E+oAd4kJIYRoXWq1mujohnM5vQk0fA1K9Hq9zyO4vCXdUudrolvK1XLjhwn8iipr+alulNS1QwPfJVS+7EdQFIyDBqJLSeH0wWKKcirRGjT0GSvrSAkhhOg4JLg5XyPdUoqinMu58cMEfl/vPI3FpjAgNZJeSYGfuK/0yy8BiLziCgB2/eRotekzOglDiC7g1xdCCCFaiwQ352ukW6rYXEyNzdHn6I9FMz//2TG3zLVDAz/8uubgIWr27QOtlohZsyjNr+L4Hsfw7wFTJJFYCCFExyLBzflc3VLuLTfOVpt4Uzx6jW99hwdzy9lzuhSdRsXswYEPbpytNuFTJqONiWHX8lOgQOd+sUQnXbg4qBBCCNGeSXBzvka6pfyZb/P5z44uoUt6JxATGtgkK8ViofSbbwCInHMNNRUWDmxwBGpDLgvOzJFCCCFEIElwU5/dDuZyx/3zuqWcsxP7mm9jtdn5oq5L6rphaT6V5YmKtWuxFRaiiY0lbMJ49q7JxmqxE5cWRmrPqIBfXwghhGhtEtzUV1sOKI77542Wcq4G7mvLzdrDBRRUmIkN1TO5l3/Wp2qKK5F49mxsqNm9yhFYDZnWWVb/FkII0SFJcFOfs0tKYwCd++yM/mq5+Wy7o0vqqsGp6AI8t421qIjylasAiJxzNYe2nKW6rJawaAPdhiUE9NpCCCFEsEhwU19TE/hV+r70QmmVhR/3nwXg2mGBTyQuW7IErFaM/ftj6N6DnT+eBGDQpWloAhxYCSGEEMEiMxTX19QEfhW+L73w9e4cam12+iRH0C/lwuUd/ElRFEo+/RRwtNqc2FtIcW4VeqOGvuP8szaWEEKItmnLli18++23nDlzhqSkJEaMGMHMmTNd6Qgvv/wyO3fuBBwzCMfExDBo0CBmzpxJRIT7d+DLL7+MTqfjvvvu8/j69957LzU1NahUKkwmE4mJiYwaNYpp06ah0Wj89jwbI/++19fISKlKSyVltY7Ax5eWm8/ruqRaY26bqs1bMB/OQhUSQsSsWWz77jgA/SamojdJTCuEEB1RbW0tN998M9OmTaO4uJihQ4ei0+n497//zZgxY1zHLV++nH379jF58mRGjRpFeHg4r7/+OmlpaXz00UduZS5fvpyVK1d6VY/3338fm83GpEmTGDx4MDU1Ndx///307t2bXbt2+eW5NkW+5eprpFvK2WoToY8gVNeyeWGy8irYeaoErVrF1UMCH9wUf/A+AJFXzSYn28LZY2VodWoGT5Xh30II0VE9/fTTfP311+zYsYPu3bu77Tty5Ijb4/T0dBYsWOB6/Mwzz7Bw4ULmz59Pjx49GDZsmE91GTVqlFv5f/jDH7j++uuZOXMmhw4dIiQkxKfymyItN/U10i3lj3wb59w2k3vFExdmaHE5nrDk5FC+4icAom+6ia1LjgOOVpuQiNZdvEwIIUTrqKqq4rXXXuN//ud/LghsALp169ZsGU888QRpaWm8/vrrfq+fwWDglVde4fTp03z++ed+L78+abmpr6bEcXv+BH4+5tvY7Apf1AU31w0L/HIHxR99DHY7IaNHU2CPI/doNhqtWibtE0KIFlIUBaW6OijXVplMHk3dsWvXLmpqahg7dmyLr6VWqxk7diw7duxocRlN6dq1KykpKezYsYNbbrklINcACW7cubqlGp6duKUtN2sO53O2zExUiI4pvQM7BNtuNrsSiaNvnseKpccB6Ds+hdDIwLYYCSFER6VUV3NwqG/dNC3V6+ftqDzowikrc3yHxcf7NodaeHg4FRUVPpURzPJBght3jXVL1a0r1dKWmw82nQBgzpBUDNrAZomXffsdtuJitCnJlHUaQs7nu1FrVQydLq02QgjRkSUmJgJw8uTJ/9/encdFVe//A38NMAz7LquAKIImEqi4IAi2estdq5/bdU2/luVyy+raKg/zUppLekvTXFIvhmsklaZJkKAggxtCoLiBCLLLsMww798fEydHtgEZRof38/FQOZ/zOZ/zPh9neXPO53MOBgwY0OZ27ty5o3GCtHnzZpw6dUpY3rRpEySS5n+RLigoeOgErCWc3NyvidlSOWU5AAB3y9Y/LuFmsQzHMwoAANMGez5cfC0gIpTsUg0ktnllEhJiVfe16R3sCgtbk+Y2ZYwx1gyRqSl8U8/qbN+a6Nu3L5ycnHD48GGMHz++TfuqrKxEXFwc5s6dq1H93r17w9j477GcLU3zTkxMRElJCUJDQ9sUn6Y4ublfI7Ol5Eo5rpSpRpj72Pq0usk9Z26ACAjt6YDuXSzaJcymyJKSUH3pEkQSCcr7Pou8nVdhaGSA/iO0m1Qxxpi+E4lEGl0a0iVDQ0OsWLECc+fOxahRozBx4kRhnVwux969ezF16tQmty8vL8esWbNgYGCAN998U6N9hoaGapyoZGdnY/bs2QgODsbzzz+v0TZtxcnN/Rq5LHW97DoUSgXMxeatHnNTo6jD3uSbAICpWj5rAwB3v/oaAGA18SWcPKa6E7L/U11hacdnbRhjrDOYPXs2amtrMXfuXERERKBPnz4oLCxEZmYmxo0bp5bcpKSkYMaMGVAqlcjPz0diYiICAwNx8uRJuLqqf9/V171fcHBws2d4du3ahZSUFMjlcuTk5CAtLQ0vvfQS1qxZo/VnG3Jyc79GLkv9WfInAKCnTU8YiFo3cz72wm0UV9bC1doET2t5ILHs7FnIzpwBxGIU9RuHkph8SMyN+KwNY4x1MvPnz8eMGTOQlJSE/Px8ODk5wd/fHw4ODkKdxYsX4+ZN1S/fYrEYdnZ22LZtG9zcGt6H7f6692tuavmmTZsgl8shEokgkUjg7OyMwMBAWFtr9+789Ti5uV8jl6WE5Ma2Z6ub+y5RNZB48iAPGGn5WU71Z20sxk7Ar78XAwCCXvCCxEys1f0yxhh79JiammL48OFNrn/66ac1bqs1detNmTKl1du0J76J3/3qz9zcd1kqqzQLQOvH21zMLUPqjVKIDUV4JUi7M5WqLlxAZUICYGiI3CfGQlZWCysHE/gN0/6dkBljjLFHDSc39erkgOKvGzQ1clmqtcnN5t+vAgD+4eeCLpbavb/M3a83AQDEL0zE+aRSAMDgMT1gKOb/XsYYY50Pf/vVq78kBQhnbspqypBfmQ+gdZelzt8qxQ/n8iASAXOHdW/XMB9UdekS7h0/DhKJcMHuOchr6uDibQ3v/tod48MYY4w9qji5qVf/6AWxOWCoGoqUXZoNQHXzPktjS42aISJ8GnsZADAuwA1+btobPEVKJe4sjwAAlDz3f8i7Xg0jsQGemtYbIgPtjkRnjDHGHlWc3NSrafjohbZckjqRUYCkq8UwNjLAv573bdcQH1QavQ9V586hxtYNl8gfADB4bA/YOD3a92JgjDHGtImTm3rCNPCGM6U0TW4UdUqs/CkDADBrqBfcbDS7q2RbKIqKUPDFFyAAV4YtgbxWCZce1ug7XPsP5mSMMcYeZZzc1Mu/oPrX5u+ZTVklqplSmo63+T7lFrIL7sHWTIz54S0/Wv5hFKxaDWVZGXL7T0F+mQkMxQZ46p+9YcCXoxhjjHVynNzUuxqn+tdrGABASUohudHkzE1BeTU+/0V11uaNp3rC2lR795eRJSej7OBB3LX3w5+Wqkfbh0z05stRjDHGGDi5UVHUAtf/eqqpVxgAIPdeLmQKGcQGYnhaNX+XXyLC2/vOo0QmxxMuVlp91IKiqAi5b72Ne+YuSPd/FQDQZ5gb/ML4chRjjDEG8B2KVXLPAvJKwMwecPID8PclKW8bbxgZNN9N3yVdR9yfhZAYGWDd/wuAsZF2ckZSKJC7eAlkxfdwYdAyKMgIbj42CH2l9XdPZowxpr/kcjnOnj2L27dvw9nZGU888YTaow/i4+ORm5sLADA2NoadnR369u0Le3v7Bm3Fx8fDwMAAQ4cO1Xj/+/fvh1wub1Du5+cHPz+/NhxR63ByAwA5f12S6hYKGKgSE00fu5BdUIEVR1RTv9/7Ry/0dNJsynhbFHyxBqXSdKQFLEKVkTWsHEwwYm5fGGr50Q6MMcYeHzt37sTbb78NGxsbPPHEEygsLMS1a9cwZcoUREZGAgAiIyNx7tw5DB06FHV1dcjPz0dqaiqGDRuG9evXo2fPv7/7IiMjYWJi0qrkZvr06fD19VVrBwCMjIw4uekwOb+r/u0eJhRpMlPqXo0CC6PSUKNQYphPF/xzSDethVj+00+4vWs/pIGLITNzhpmVMUYueBImFvzsKMYYYyq7d+/GjBkzsGPHDkybNk0or66uxq5du9TqDho0CFFRUcLy3bt3MX36dISGhuLcuXNwcnJ6qFhmzpyJBQsWPFQbbcW/8tdWAjfPqH72+ju5aWmmVKmsFlO3nMalvHLYmonx+UR/rcxUIiIU79iB7GUrcTZwCWRmzrCwlWDcv/rB1tm83ffHGGPs8aRUKrF06VJMmjRJLbEBABMTE8yZM6fZ7R0cHBAVFYXq6mqsW7dOm6Fq3SNx5oaIIBK1LjFoyzaNupEIKOWAtTtgp3pUwqm8U7hWfg0iiOBr2/BGfIUVNZi29TQy8itgYybG9pkD4WRl8vCxPEBZXY28Dz5E1unb+DPwbSjE5rDuYoLRiwJhZa+9e+gwxhhTR0RQ1Cp1sm8jYwONvu8uXLiAvLw8jB8/vs37srS0RHh4OOLi4trcRr3U1FS1M0MAEB4eDmdn54duuyU6TW5ycnIwb948nDx5EsbGxnj55Zfx5Zdfwty86TMSbdmmWcIU8DBAJEJxdTGWJSwDALzs+zLsTdUHV2UXVGDuzrO4ercSXSwl2DV7EHyd23ecDRGh8o9TuPnFRlwQ9UfhEyMAAF08LPHi6/4wt9bugzgZY4ypU9QqsXnhw3/ht8XcdWEQSwxbrJefr3oWooeHRws1m+fs7Iz09PSHagMAzp07B5lMplbWu3dv/U5u5HI5XnjhBfj4+CAvLw8lJSV48cUXMW/evAbXBR9mmxbVDybuHgYiwod/fIi7VXfRw7oH3hrwllCtRlGHr05ewcbfsiGvI7jZmGL3nEHo5tB+l4aICLKkJNzY8C2yS+yR5zIZCrEZRCIgaKQX+o3w5MHDjDHGGmVpqfpFu6io6KHaqaio0PiEQVJSEq5duyYsT5w4EUZGqtRCl2NudJbc/PTTT8jIyMDRo0fh4OAABwcHLF++HFOmTMGqVasazezask2zZMXA7fOqn72GISozCnG34mBsYIzIYZEwMTJBjaIOv2UUYNXRP5FdcA8A8FQvR3w6ri+crR/+UhQpFLiXdhG3Yv9AvjQHd+GIwi4vgyxVWbqdkwmemd0XXTy0NwuLMcZY84yMDTB3XVjLFbW0b034+/tDIpEgKSkJI0aMaNO+iAinT59GaGioRvXPnj2L+Ph4YXncuHFCcqNLOosgMTER3bt3h7u7u1A2fPhwKJVKnDlzBqNHj26XbZrz27dbUZr/HArFJihYvhKV8jKMRCA8zf2Qfi0NceWncb1IhlqFEv1ACDYyQD8PW3iUK5C3Iw959FdDRH/9QwAIoL+L6+oARZ1I9ae2DvIaBeS1StRU1aGqxgDVIlPUii0BUW/AqbcQm0s3MwSM6IFu/g78SAXGGNMxkUik0aUhXbKwsMDcuXOxZs0azJw5E56e6jeUvXHjRouXrNavX4+cnBzs3r1bo32+/vrreP3119scs7boLLm5c+cOunTpolbm4OAAkUiEO3futNs2NTU1qKmpEZbLy8uFn6+claFG8n+AHLCVA7Z/lddVA3l//exqDMD47/Zy81V/2oXk/h9rYO8ohpNfV3gPcoWjp1XT2zHGGGON+Oyzz3D9+nX069cPc+bMQZ8+fVBYWIiUlBRkZWUhJSVFqHvr1i1ERUVBqVQiPz8fv/zyC+Lj47F582YMGjRIrd36uvfr1q0bBg8e3GQsjQ0o9vLyatC2Nuj03JFSqT7ynP46A9LcqPDWbrNy5Up88sknja4ztFDCpCwTgAFIZASQoVo7IpEIEiMDGP01zkUk/KX2AyBSW1IrN0QdjER1MBQpYWQEiCWGEEuMILE2hZW7A6y6u8G6pyvM2+ESF2OMsc7NxMQEhw8fxsmTJ/HTTz/h+PHjcHJywvjx49VmUQ0bNgypqak4dOgQxGIx7Ozs8PLLL2P37t1wcHBQa/P+uvcLDQ1tMrmZOHEiZDJZg23CwsL0O7lxcXHBiRMn1MoKCwtBRE2OnWnLNu+99x6WLFkiLJeXlwuXtWZ+2XjSwxhjjD3OwsPDER4e3uT6pUuXatxWa+rW2759e6u3aU86m3oTEhKC69ev4+rVq0LZ8ePHYWhoqJYJVldXo66urlXb3E8ikcDKykrtD2OMMcb0l86Sm+eeew4BAQGYO3curly5guTkZCxbtgyzZs0STomVlpbC1NQU3333ncbbMMYYY6xz01lyY2hoiCNHjsDW1hYDBw7EmDFjMH78eHz55ZdCHZFIBIlEAkNDQ423YYwxxljnptMBxa6uroiOjm5yvbW1Naqrq1u1DWOMMcY6N77dLWOMMcb0Cic3jDHGWCPqbzXCOk579TknN4wxxth9xGIxADR46CPTvvo+r/8/aCvdPwCCMcYYe4QYGhrCxsYGBQUFAAAzM7Nmby7LHh4RQSaToaCgADY2NsJEorbi5IYxxhh7QP2NYesTHNYxbGxsWv8Q7EZwcsMYY4w9QCQSwcXFBY6OjpDL5boOp1MQi8UPfcamHic3jDHGWBMMDQ3b7QuXdRweUMwYY4wxvcLJDWOMMcb0Sqe7LFU/h768vFzHkTDGGGNMU/Xf25rcC6fTJTdFRUUAAHd3dx1HwhhjjLHWqqiogLW1dbN1Ol1yY2dnBwC4ceNGi52jz8rLy+Hu7o6bN2/CyspK1+HoDPfD37gvVLgfVLgfVLgfVB6FfiAiVFRUwNXVtcW6nS65MTBQDTOytrbu1C/UelZWVtwP4H64H/eFCveDCveDCveDiq77QdOTEjygmDHGGGN6hZMbxhhjjOmVTpfcSCQSfPTRR5BIJLoORae4H1S4H/7GfaHC/aDC/aDC/aDyuPWDiPiZ7owxxhjTI53uzA1jjDHG9BsnN4wxxhjTK5zcMMYYY0yvdLrkJiMjA1KpFLW1tboOpcMUFBQgLS0NZWVlTdaprKzE2bNncfXq1Q6MTDfS09ORkJDQ6GtALpdDKpXi8uXLOois45SXlyM1NRWlpaWNrlcqlbhw4QLOnz+Purq6jg2ug8jlcmRkZLT43sjMzERqaipqamo6MDrtqaurw+nTp5t9jVdVVeHs2bPIzs5+qDqPOqlUCqlU2uT6srIySKVSFBQUNFlHoVAgLS0N6enpGj0W4FF06dIlJCYmtlgvJycHCQkJjb5fiAiXLl3CuXPnHo3PDOokbty4QU8++STZ29uTl5cXdenShX799Vddh6VVCQkJFBwcTI6OjhQQEECmpqY0b948UigUavV2795NlpaW5OPjQ5aWljR8+HAqLS3VUdTalZqaSqampgSAbt68qbbuxIkT5OTkRN26dSN7e3vy9/ena9eu6ShS7VAoFLRo0SIyNTWlwMBA8vDwoI8++kitzvnz56lHjx7k4uJCbm5u5OnpSampqboJWEsOHz5Mzs7O5OXlRU8++SSZmprSW2+9pVYnLy+P+vfvT7a2ttS9e3eyt7en2NhYHUX88GQyGX3yySfk4eFBlpaWNGbMmEbrRUdHk7W1NfXs2ZOsrKwoJCSEioqKWl3nUbZmzRry9fUlGxsb6tOnT4P1mZmZNGbMGLK1taWAgACysLCgkSNHUnFxsVq9hIQEcnFxIQ8PD+rSpQs98cQTlJ2d3VGH8dC+++474TVubm7ebN3bt2+Ts7MzAaBjx46prbt8+TL5+PiQk5MTde3albp27UqnT5/WZugt6jTJTXh4OIWHh1NNTQ0REb3zzjtka2tLJSUlug1Mi7Zt20anTp0SltPT08nGxoYiIyOFsqysLBKLxbR582YiIiopKSFfX1+aOXNmh8erbRUVFeTr60tvv/12g+SmrKyM7O3taenSpUREVFtbS8OHD6fQ0FBdhasVixYtIhcXF8rIyCAiorq6Ovrqq6+E9XV1ddSrVy965ZVXSKlUEhHR1KlTqXv37iSXy3USc3tTKBRkZWVF//rXv4SykydPNvjQHjFiBAUHB1NVVRUREX300UdkZWVFhYWFHR5ze8jNzaUPPviAbty4QRMmTGg0ubl+/TpJJBJav349ERGVl5eTn58fTZo0qVV1HnULFy6k9PR0eueddxpNbmJjY+nQoUPCe6CwsJB8fX1p2rRpQp179+6Rs7Mzvfnmm0Skel09//zzFBQU1DEH0Q6WLVtGp0+fpq+++qrZ5Kauro6eeeYZeueddxq8T5RKJfn7+9PYsWOprq6OiIhmz55N7u7uVF1drfVjaEqnSG6uXr1KAOjnn38WykpKSkgsFtO2bdt0F5gOjB07lkaNGiUsf/jhh+Ti4iK8iYmINmzYQCYmJiSTyXQRotZMmzaNFi1aRMeOHWuQ3OzcuZPEYrFasvvzzz8TAMrKytJBtO0vPz9fLZFtzO+//04A6OLFi0JZZmZmo7+tPa4qKipIJBLRvn37hLLq6moyMDCgPXv2EJEqERCJRHTo0CGhzr1798jU1FQtGXxcNZXcfPrpp2Rvb692dnfLli0kFouprKxM4zqPi6aSm8a8//775OXlJSx///33ZGBgQHfu3BHK6pPkCxcutHus2tRScrNixQoaMWIE3bx5s8FnwZkzZwgApaSkCGXXrl0jABQTE6PVuJvTKcbc1F9T7d+/v1BmY2ODnj17Nnu9Vd/I5XKcO3cO3t7eQplUKkW/fv0gEomEsoEDB6K6uhoZGRm6CFMrdu3ahbS0NPznP/9pdL1UKkX37t1hY2MjlA0cOFBYpw9+//13yOVyjBo1Cjdv3kRaWhoqKirU6kilUkgkEvTp00co8/HxgZWVld70g4WFBd5//318+OGHiI6Oxi+//IJp06ZhyJAhGDt2LAAgLS0NRKT2mWFubo7evXvrTT80RiqVIiAgAIaGhkLZwIEDIZfLcenSJY3r6KPk5OQGn53u7u5wdHQUyvTtMwMAEhMTsWHDBmzfvr3R9VKpFAYGBggMDBTKPD094ejoqNN+6BQPziwuLgbw9xPB69nb2wvrOoP33nsPRUVFePPNN4Wy4uJi9OjRQ62evb29sE4fZGVlYfHixfjtt9+avLtmcXGxcNz1bGxsYGBgoDf9kJeXB4lEgoiICBw+fBh2dnbIzs7G0qVL8fHHHwNovB8A/XuvvPzyyzh69CjeeustWFtb486dO1i/fj1MTU0B/P3af7Av9K0fHtTY//+Dnwea1NE327dvx7Fjx3DixAmhrLF+MDU1hampqd70Q2lpKSZPnoxNmzbByckJt27dalCnuLhY+Ky8n67fK53izI1YLAaABrMdqqqqYGxsrIuQOtzq1auxceNG7Nu3D926dRPKxWIxqqur1epWVVUBgN70zezZs/HCCy+gtLQUCQkJuHjxIgDVb2I5OTkAGu+H2tpaKJVKvekHsViMmpoaVFVV4fr16zh//jxiYmIQERGBI0eOCHUe7AdAv94rJSUlCAsLwzPPPCP0w8GDBzFt2jTExMQA+Pszo7H3hr70Q2M0+TzoDJ8Z94uJicG8efOwYcMGhIWFCeWN9QMRoba2Vm/6YenSpfD09IStrS0SEhKQnJwMALh48aJwlu5R/czoFMmNp6cnACA3N1etPC8vDx4eHroIqUOtXbsW77//Pg4ePIhnn31WbZ2np2eDfqlf1pe+cXJywpUrV/Duu+/i3XffxdatWwEAK1euFL7MOkM/1Ce1r776qnBJ4emnn4a3tzfi4+MBqPqhpKQEMplM2K6mpgZFRUV60w+nTp1CcXExXn/9daEsODgYgYGBaq8HoOFnRm5urt70Q2M0eR90hvdKvSNHjuCll17CqlWrMH/+fLV1np6euH37ttr079u3b6Ourk5v+sHKygoKhUL47Fy5ciUAYOvWrdi2bRsAVT/IZDK120ooFAoUFBToth90NtqnA8lkMrK0tKTVq1cLZfWDoP744w8dRqZ969atIxMTkyansO7atYuMjIzUBsW99tpr1LNnz44KscM1NqA4KSmJAKhNX/ziiy/IwsKCKisrdRFmuysvLyczMzOKjo4Wyqqrq8nOzo5WrVpFRKqBtIaGhrR3716hzoEDB0gkElFOTk5Hh6wVp0+fJgB05swZoUyhUJC7uzv9+9//JiLVbDk7OztasWKFUOf8+fMEgI4fP97hMbe3pgYU79u3jwwMDNTeG0uWLCEPDw9h0oEmdR4XzQ0ojo2NJYlEQuvWrWt0fVpaGgGguLg4oey///0vmZiYPHYDq1saUFyvsQHFhYWFJBaLaceOHUJZbGwsARBmZepCp0huiIhWr15NZmZmtHHjRtq7dy/17NmTRo8ereuwtGrLli0EgJYtW0bx8fHCn7S0NKGOXC6nfv360eDBg+nAgQO0YsUKMjQ0VJtJom8aS26IiMaNG0fe3t4UFRVF//3vf8nc3Jw+++wzHUWpHZGRkeTm5kbbt2+nI0eO0OjRo8nFxYUKCgqEOosXLyYHBwfatm0b7dy5k5ycnOi1117TYdTtS6FQUHBwMPn6+tKePXsoNjaWJk6cSBYWFmoz4zZu3EgmJia0bt06+v7776l379703HPP6TDyh5eYmEjx8fEUHh5OoaGhFB8fT4mJicJ6hUJBgwcPpv79+9P+/fspMjKSjIyMaPfu3a2q86hLS0uj+Ph4mjJlCnl5eQmfjfW3O4iLiyOJREKTJk1S++x88JfhSZMmUbdu3WjPnj20efNmsrS0pOXLl+vikNrk8uXLFB8fT2+99RaZmpoKx1lRUdFo/caSGyKi9957j2xtbWnr1q20a9cucnNzo1mzZnXEITSpUz0V/H//+x+ioqJQVVWF4cOHY/HixTAxMdF1WFrzwQcf4LfffmtQ3qtXL2zZskVYLi0tRWRkJJKTk2Fra4s5c+bg+eef78hQO1RKSgoWLVqEgwcPokuXLkJ5TU0N1q5dixMnTkAikeCVV17BlClTdBipduzduxdRUVGorq6Gv78/lixZAicnJ2G9UqnE5s2b8cMPP4CI8OKLL2L+/Plqs2Med5WVldi4cSOSkpJQVVUFX19fvPHGGw0G10dHR2P37t2QyWQYNmwYlixZAjMzMx1F/fD+8Y9/NJghZ2lpiZ9++klYLi8vx+eff47ExERYW1tj5syZGDlypNo2mtR5lM2ZM6fR2aBHjhyBtbU1vv32W3z77bcN1kskEhw/flxYrq2txZdffomjR4/C2NgYEyZMwIwZM7QZertq6jti69at8PX1bVBeWFiIcePGYe3atRgwYIBQTkTYunUrDh06BIVCgREjRmDBggUwMtLdnKVOldwwxhhjTP91igHFjDHGGOs8OLlhjDHGmF7h5IYxxhhjeoWTG8YYY4zpFU5uGGOMMaZXOLlhjDHGmF7h5IYxxhhjeoWTG8Z0SCqVCs91elxcuHBB7enIj6LLly/j119/FZY1iflxOK728ji+7hhrDd3dPpCxTiI9PR1ZWVmwtLRE79694eLiIqzbsWMHsrOzERoaqsMIW2fv3r1ISEjAU0891WLd5o5dmw4fPoxDhw7hmWeeAdAw5vPnz6O4uBjh4eHCNq05roeRmZkJqVSKvn37ok+fPkK5XC7H/v37MXz4cLU7RmvD4/i6Y6w1OLlhTEtSUlIwa9Ys5OfnY+DAgaitrUVGRgaCgoLwzTffwM7OTtchas2jduz+/v4wNjYWlvfs2YOUlBS15ObBOtoSExODt99+G76+vrh48aJwi/rKykpMmjQJx44d03pyw5i+4+SGMS3IyMjA8OHD8c9//hNr1qxR+9I8fPgwKisr1b7gq6urkZaWhtLSUgQFBcHe3l5Yl5WVhbNnzwJQPQfIz88Pnp6eavuTSqW4d+8egoKCmmxHkzr1Ll++jMzMTLi6uiIwMBBisVgrx05ESE5Oxq1bt+Dl5YXAwMBWHxegOusRHx8PpVKJgICABjH17t0bDg4OAFRnTi5fvow7d+4gKioKABASEqJWp157xfcgGxsbFBQUYOvWrZg3b16jdZKSkiASiTBo0CChLD09HXl5ecIZqfr9DxgwAGlpabh79y5CQkJga2sLmUyGP/74AwAQHBwMc3PzBvuQyWSQSqUoKSlBaGgorK2tG9Rp7rVQv//+/fvj1KlTuHfvHsaOHdvssTPWETi5YUwLPv74Yzg4ODT4cgeAMWPGqC3n5ORgwIABcHV1RUlJCa5cuYJjx46hf//+wvpDhw4BAMrKyhAfH4+FCxdixYoVQhs7duzAsWPHIBKJmmxHkzrV1dWYOnUq/vjjDwwYMAA5OTkQiUSIiYlBt27d2vXYS0tL8cILL+DatWsICAjAmTNnMHDgQBw8eBASiUTjmIuKivDUU0+huLgYfn5+uHDhQoMHYN5/ySkrKwtZWVkoLi4W+tXLywsxMTFql6XaK77GmJub480338THH3+MqVOnNpp4bNiwAUZGRmrJzYEDB/Djjz8Kyc2OHTvw888/o7a2Fj4+Prh16xZu376NNWvW4JNPPoGPjw9ycnJQV1eH5ORk2NjYCG1dvXoVAQEBcHd3R2FhIfLy8vDzzz8LD0TU5LWwY8cOHD16FESErl27wsvLi5Mb9mjQ2fPIGdNjNjY2tGDBghbrLVy4kIyMjCg5OVkoGzduHI0fP77JbTIyMsjU1JSkUmmr2tGkztKlSykkJIRkMhkRESmVSpo5cya9+OKLQp1ly5ZRWFhYk/FpeuyLFi2iXr16UUlJCRER5ebmkpOTE0VGRrYq5jfeeIOefPJJqqioICKi7OxsMjc3p0GDBjUZ8zvvvENPP/20WjwP1mmv+B70+eefk5ubG1VVVVHXrl0pIiKCiIhKSkoIAB07doyIiKZMmULTp09X2zYiIkLtuOr3n5qaSkRECoWC+vTpQxKJhC5evEhERLW1teTl5UWrV69W2w4AHTx4kIhU/89Tp06l/v37C3U0eS0sXLiQRCIR/f77700eL2O6wLOlGGtntbW1KC0thYeHh0b1g4KChN+WASAsLAyZmZlqdSorKxEfH4/o6GhIpVI4OjoiOTm51e20VGfbtm3o27cvjhw5gujoaERHR8PZ2RknT54EEbXrsUdFReG1114Tzia4urpi5syZwqUiTWP+/vvvMX/+fFhYWAAAevTogQkTJrS4/46KrykmJiZYvnw5PvvsMxQWFrY5zoEDBwqXywwNDREUFIShQ4cKg5XFYjH69++PP//8U207b29v4SyLSCTC0qVLcfbsWVy5cgWA5q+FgIAAHpjMHjl8WYqxdmZsbAxjY2MUFRVpVP/BwbUSiQTV1dXC8i+//ILJkyfD3d0d3bp1g4mJCe7du4eCgoJWtdNSHZlMhsLCQqSnp6O4uFit3siRI1FbWytcjmmKpsdeU1OD/Px8dO/eXa28R48euH79usYx19TU4M6dOw0umXl5eWmUYGg7vpZMnz4dq1evRkREBJYvX96mWG1tbRvsv7GyB2NqrM8A4Pr163BxcdH4tdBRM+AYaw1ObhjTgqCgICQlJbVLW4sXL8aiRYvwwQcfCGXe3t4anUlpDRMTExgbG2Py5MmYO3dum9vR5NglEgmsrKwafHEWFxc3GNTbUjuWlpYoKSlRK39wubXaK76WGBgYYOXKlZgwYQKmT5/eYJ1SqVQr0zRp0kRTfebg4NCq14JIJGq3mBhrL3xZijEtWLJkCeLi4nDw4MEG68rKylBeXq5xW/n5+fD19RWWpVIprl692i5x3s/AwADPPvssvvnmG9TV1amty83N1bgdTY996NChOHDggLCOiLB//36EhIS0Ku6hQ4cKA4MB1cypmJiYZrexsLBoMVFor/haMmrUKAwePBjLli1TK3dzc0N2drZa2cmTJ9ttv2lpabh27ZqwfODAAXTp0gU+Pj7t9lpgTFf4zA1jWjB+/HhERERg0qRJmDRpEkJCQlBbW4tLly4hNjYWx48fh5WVlUZtjR07Fu+++y6KiopQUVGBNWvWCONL2tvatWsRFhaGkJAQTJ48GUqlEnFxcbCwsMDOnTs1akPTY//Pf/6D4OBgTJkyBeHh4fjhhx9w9epV7Nu3r1UxR0REICQkBDNnzsSQIUMQFRWFiooKODo6NrnNgAED8Omnn2L9+vVwdHRsNGFpr/g0ERkZieDgYLWyyZMnY9WqVViwYAECAgLw448/4s8//2xwqaytrKysMGLECCxYsAB37tzB559/jrVr18LExARA+7wWGNMVTm4Y05L3338fL730EqKjo5GQkAALCwv4+fnh008/FRKbfv36wdXVVW07b29vjBw5Ulj++uuvsWnTJpw5cwbW1tY4cOAAYmNj1e5uq0k7mtTx9vbGxYsXsX37dqSmpsLGxgYzZszA6NGjhTqa3OxOk2P39/dHWloatm7divj4ePTr1w9ff/013NzcWhXzgAEDkJSUhC1btuDcuXN49dVXYWZmhpSUlCZjHjFiBLZs2YK4uDicOnUKXl5eDeq0V3wP6tWrV4PbAQwZMgQffvghMjMz4ezsDADo27cvTp06hV27duHcuXOYPn06pk+fjtTU1Gb3HxQUhIqKigbtGxgYNNhuyJAhOHz4MEpKShAdHY1Ro0apHUdLr4XG9s/Yo0BE7X3hnjHGGGNMh3jMDWOMMcb0Cic3jDHGGNMrnNwwxhhjTK9wcsMYY4wxvcLJDWOMMcb0Cic3jDHGGNMrnNwwxhhjTK9wcsMYY4wxvcLJDWOMMcb0Cic3jDHGGNMrnNwwxhhjTK9wcsMYY4wxvfL/AW8zTeyfxY1dAAAAAElFTkSuQmCC",
"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": "2026-08-06T19:09:50.743783Z",
"iopub.status.busy": "2026-08-06T19:09:50.743647Z",
"iopub.status.idle": "2026-08-06T19:09:50.771150Z",
"shell.execute_reply": "2026-08-06T19:09:50.770387Z"
}
},
"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": "2026-08-06T19:09:50.773242Z",
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{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/jhoydis/work/projects/sionna/.venv/lib/python3.12/site-packages/torch/_inductor/compile_fx.py:321: UserWarning: TensorFloat32 tensor cores for float32 matrix multiplication available but not enabled. Consider setting `torch.set_float32_matmul_precision('high')` for better performance.\n",
" warnings.warn(\n"
]
},
{
"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 | 1.2420e-01 | 5.8887e-01 | 183145 | 1474560 | 1206 | 2048 | 32.3 |reached target block errors\n",
" -1.0 | 6.0207e-02 | 3.2837e-01 | 177558 | 2949120 | 1345 | 4096 | 0.1 |reached target block errors\n",
" 3.0 | 1.8837e-02 | 1.2033e-01 | 124995 | 6635520 | 1109 | 9216 | 0.3 |reached target block errors\n",
" 7.0 | 5.1268e-03 | 3.4685e-02 | 109617 | 21381120 | 1030 | 29696 | 0.9 |reached target block errors\n",
" 11.0 | 8.8318e-04 | 6.5430e-03 | 65115 | 73728000 | 670 | 102400 | 3.1 |reached max iterations\n",
" 15.0 | 1.4284e-04 | 1.0254e-03 | 10531 | 73728000 | 105 | 102400 | 3.1 |reached max iterations\n",
" 19.0 | 1.3021e-05 | 1.2695e-04 | 960 | 73728000 | 13 | 102400 | 3.1 |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 | 5.3865e-03 | 4.0117e-02 | 99284 | 18432000 | 1027 | 25600 | 0.8 |reached target block errors\n",
" -1.0 | 2.7482e-04 | 2.2168e-03 | 20262 | 73728000 | 227 | 102400 | 3.1 |reached max iterations\n",
" 3.0 | 7.5955e-06 | 5.8594e-05 | 560 | 73728000 | 6 | 102400 | 3.1 |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 | 4.0714e-02 | 2.3652e-01 | 150089 | 3686400 | 1211 | 5120 | 30.6 |reached target block errors\n",
" -1.0 | 7.3259e-03 | 4.7945e-02 | 113426 | 15482880 | 1031 | 21504 | 0.7 |reached target block errors\n",
" 3.0 | 8.4062e-04 | 6.0156e-03 | 61977 | 73728000 | 616 | 102400 | 3.1 |reached max iterations\n",
" 7.0 | 5.3914e-05 | 3.9063e-04 | 3975 | 73728000 | 40 | 102400 | 3.1 |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 | 2.1479e-01 | 9.6240e-01 | 316724 | 1474560 | 1971 | 2048 | 31.2 |reached target block errors\n",
" -1.0 | 1.0758e-01 | 6.5283e-01 | 158634 | 1474560 | 1337 | 2048 | 0.1 |reached target block errors\n",
" 3.0 | 2.3157e-02 | 1.9401e-01 | 102441 | 4423680 | 1192 | 6144 | 0.2 |reached target block errors\n",
" 7.0 | 1.5448e-03 | 1.6249e-02 | 69478 | 44974080 | 1015 | 62464 | 1.8 |reached target block errors\n",
" 11.0 | 2.5024e-05 | 3.1250e-04 | 1845 | 73728000 | 32 | 102400 | 2.9 |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 | 2.0927e-01 | 9.3555e-01 | 308586 | 1474560 | 1916 | 2048 | 30.7 |reached target block errors\n",
" -1.0 | 1.1673e-01 | 6.6846e-01 | 172128 | 1474560 | 1369 | 2048 | 0.1 |reached target block errors\n",
" 3.0 | 3.2461e-02 | 2.4063e-01 | 119665 | 3686400 | 1232 | 5120 | 0.2 |reached target block errors\n",
" 7.0 | 5.0833e-03 | 4.2440e-02 | 89948 | 17694720 | 1043 | 24576 | 0.7 |reached target block errors\n",
" 11.0 | 4.0108e-04 | 3.8867e-03 | 29571 | 73728000 | 398 | 102400 | 2.9 |reached max iterations\n",
" 15.0 | 1.2967e-05 | 1.0742e-04 | 956 | 73728000 | 11 | 102400 | 2.9 |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=\"default\",\n",
" verbose=True)\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": {
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},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.04 [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": "2026-08-06T19:33:23.352330Z",
"iopub.status.busy": "2026-08-06T19:33:23.352190Z",
"iopub.status.idle": "2026-08-06T19:35:54.526652Z",
"shell.execute_reply": "2026-08-06T19:35:54.525749Z"
}
},
"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 | 3.6089e-01 | 9.7754e-01 | 266077 | 737280 | 1001 | 1024 | 23.3 |reached target block errors\n",
" -1.0 | 2.5985e-01 | 8.2227e-01 | 191581 | 737280 | 842 | 1024 | 9.0 |reached target block errors\n",
" 3.0 | 1.6259e-01 | 5.7324e-01 | 119876 | 737280 | 587 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 7.3069e-02 | 2.9199e-01 | 53872 | 737280 | 299 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 2.6444e-02 | 1.1621e-01 | 19497 | 737280 | 119 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 6.1103e-03 | 3.0029e-02 | 18020 | 2949120 | 123 | 4096 | 0.1 |reached target block errors\n",
" 19.0 | 1.3515e-03 | 7.3242e-03 | 13950 | 10321920 | 105 | 14336 | 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 | 4.7782e-02 | 2.4512e-01 | 35229 | 737280 | 251 | 1024 | 0.0 |reached target block errors\n",
" -1.0 | 3.1171e-03 | 1.9206e-02 | 13789 | 4423680 | 118 | 6144 | 0.2 |reached target block errors\n",
" 3.0 | 1.1594e-04 | 7.7148e-04 | 8548 | 73728000 | 79 | 102400 | 3.7 |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 | 1.6548e-01 | 6.5430e-01 | 122005 | 737280 | 670 | 1024 | 23.2 |reached target block errors\n",
" -1.0 | 4.6752e-02 | 2.3828e-01 | 34469 | 737280 | 244 | 1024 | 8.7 |reached target block errors\n",
" 3.0 | 9.5418e-03 | 5.2734e-02 | 14070 | 1474560 | 108 | 2048 | 0.1 |reached target block errors\n",
" 7.0 | 9.0196e-04 | 5.3454e-03 | 12635 | 14008320 | 104 | 19456 | 0.7 |reached target block errors\n",
" 11.0 | 5.1514e-05 | 3.3203e-04 | 3798 | 73728000 | 34 | 102400 | 3.7 |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 | 4.1914e-01 | 1.0000e+00 | 309025 | 737280 | 1024 | 1024 | 23.7 |reached target block errors\n",
" -1.0 | 3.7066e-01 | 9.9902e-01 | 273279 | 737280 | 1023 | 1024 | 7.8 |reached target block errors\n",
" 3.0 | 2.8759e-01 | 9.5996e-01 | 212032 | 737280 | 983 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 1.5641e-01 | 6.9141e-01 | 115319 | 737280 | 708 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 2.9336e-02 | 1.8164e-01 | 21629 | 737280 | 186 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 1.8419e-03 | 1.3062e-02 | 10864 | 5898240 | 107 | 8192 | 0.3 |reached target block errors\n",
" 19.0 | 2.6313e-05 | 2.6367e-04 | 1940 | 73728000 | 27 | 102400 | 3.5 |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 | 4.2809e-01 | 1.0000e+00 | 315622 | 737280 | 1024 | 1024 | 23.9 |reached target block errors\n",
" -1.0 | 3.8386e-01 | 1.0000e+00 | 283009 | 737280 | 1024 | 1024 | 8.9 |reached target block errors\n",
" 3.0 | 3.1104e-01 | 9.7949e-01 | 229324 | 737280 | 1003 | 1024 | 0.0 |reached target block errors\n",
" 7.0 | 1.8476e-01 | 7.1582e-01 | 136223 | 737280 | 733 | 1024 | 0.0 |reached target block errors\n",
" 11.0 | 7.1292e-02 | 3.3984e-01 | 52562 | 737280 | 348 | 1024 | 0.0 |reached target block errors\n",
" 15.0 | 1.2490e-02 | 7.0801e-02 | 18417 | 1474560 | 145 | 2048 | 0.1 |reached target block errors\n",
" 19.0 | 8.9735e-04 | 6.7057e-03 | 9924 | 11059200 | 103 | 15360 | 0.5 |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=\"default\",\n",
" verbose=True)\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": "2026-08-06T19:35:54.529435Z",
"iopub.status.busy": "2026-08-06T19:35:54.529287Z",
"iopub.status.idle": "2026-08-06T19:35:54.759123Z",
"shell.execute_reply": "2026-08-06T19:35:54.758394Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.04 [h]\n"
]
},
{
"data": {
"image/png": 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",
"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 account, 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": "2026-08-06T19:35:54.761624Z",
"iopub.status.busy": "2026-08-06T19:35:54.761480Z",
"iopub.status.idle": "2026-08-06T19:38:16.768159Z",
"shell.execute_reply": "2026-08-06T19:38:16.767306Z"
}
},
"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 | 7.9374e-02 | 5.1465e-01 | 126796 | 1597440 | 1054 | 2048 | 32.0 |reached target block errors\n",
" 2.0 | 3.5970e-02 | 2.7954e-01 | 114919 | 3194880 | 1145 | 4096 | 0.1 |reached target block errors\n",
" 4.0 | 1.1029e-02 | 1.0146e-01 | 88091 | 7987200 | 1039 | 10240 | 0.3 |reached target block errors\n",
" 6.0 | 2.6255e-03 | 2.7398e-02 | 75492 | 28753920 | 1010 | 36864 | 1.1 |reached target block errors\n",
" 8.0 | 4.3980e-04 | 5.1758e-03 | 35128 | 79872000 | 530 | 102400 | 3.1 |reached max iterations\n",
" 10.0 | 4.7564e-05 | 6.0547e-04 | 3799 | 79872000 | 62 | 102400 | 3.1 |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 | 7.5249e-02 | 4.9268e-01 | 120205 | 1597440 | 1009 | 2048 | 31.0 |reached target block errors\n",
" 2.0 | 3.4713e-02 | 2.6562e-01 | 110905 | 3194880 | 1088 | 4096 | 0.1 |reached target block errors\n",
" 4.0 | 1.0710e-02 | 9.7852e-02 | 85543 | 7987200 | 1002 | 10240 | 0.3 |reached target block errors\n",
" 6.0 | 2.8466e-03 | 2.8895e-02 | 77304 | 27156480 | 1006 | 34816 | 1.0 |reached target block errors\n",
" 8.0 | 4.1058e-04 | 4.8047e-03 | 32794 | 79872000 | 492 | 102400 | 3.1 |reached max iterations\n",
" 10.0 | 3.6746e-05 | 5.3711e-04 | 2935 | 79872000 | 55 | 102400 | 3.1 |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 | 2.6133e-01 | 9.9121e-01 | 208726 | 798720 | 1015 | 1024 | 23.8 |reached target block errors\n",
" 2.0 | 2.4735e-01 | 9.8730e-01 | 197560 | 798720 | 1011 | 1024 | 9.3 |reached target block errors\n",
" 4.0 | 2.0291e-01 | 8.8135e-01 | 324138 | 1597440 | 1805 | 2048 | 0.1 |reached target block errors\n",
" 6.0 | 1.5157e-01 | 7.3193e-01 | 242129 | 1597440 | 1499 | 2048 | 0.1 |reached target block errors\n",
" 8.0 | 8.3583e-02 | 4.5020e-01 | 200278 | 2396160 | 1383 | 3072 | 0.1 |reached target block errors\n",
" 10.0 | 3.5446e-02 | 2.0430e-01 | 141559 | 3993600 | 1046 | 5120 | 0.2 |reached target block errors\n",
" 12.0 | 1.1015e-02 | 6.9894e-02 | 123168 | 11182080 | 1002 | 14336 | 0.4 |reached target block errors\n",
" 14.0 | 2.4550e-03 | 1.6800e-02 | 115691 | 47124480 | 1015 | 60416 | 1.8 |reached target block errors\n",
" 16.0 | 4.3463e-04 | 3.2324e-03 | 34715 | 79872000 | 331 | 102400 | 3.1 |reached max iterations\n",
" 18.0 | 5.1495e-05 | 3.9063e-04 | 4113 | 79872000 | 40 | 102400 | 3.1 |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 | 2.6592e-01 | 9.9609e-01 | 212394 | 798720 | 1020 | 1024 | 0.0 |reached target block errors\n",
" 2.0 | 2.4736e-01 | 9.7607e-01 | 395143 | 1597440 | 1999 | 2048 | 0.1 |reached target block errors\n",
" 4.0 | 2.1691e-01 | 9.1650e-01 | 346508 | 1597440 | 1877 | 2048 | 0.1 |reached target block errors\n",
" 6.0 | 1.6450e-01 | 7.6758e-01 | 262772 | 1597440 | 1572 | 2048 | 0.1 |reached target block errors\n",
" 8.0 | 1.0974e-01 | 5.6006e-01 | 175300 | 1597440 | 1147 | 2048 | 0.1 |reached target block errors\n",
" 10.0 | 5.5324e-02 | 3.0762e-01 | 176754 | 3194880 | 1260 | 4096 | 0.1 |reached target block errors\n",
" 12.0 | 2.2087e-02 | 1.3635e-01 | 141133 | 6389760 | 1117 | 8192 | 0.2 |reached target block errors\n",
" 14.0 | 7.1195e-03 | 4.5721e-02 | 125103 | 17571840 | 1030 | 22528 | 0.7 |reached target block errors\n",
" 16.0 | 1.9173e-03 | 1.3538e-02 | 111792 | 58306560 | 1012 | 74752 | 2.2 |reached target block errors\n",
" 18.0 | 4.8223e-04 | 3.6816e-03 | 38517 | 79872000 | 377 | 102400 | 3.1 |reached max iterations\n",
" 20.0 | 1.0718e-04 | 1.1035e-03 | 8561 | 79872000 | 113 | 102400 | 3.1 |reached max iterations\n",
" 22.0 | 9.8783e-06 | 2.4414e-04 | 789 | 79872000 | 25 | 102400 | 3.1 |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=\"default\",\n",
" verbose=True)\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": "2026-08-06T19:38:16.770523Z",
"iopub.status.busy": "2026-08-06T19:38:16.770392Z",
"iopub.status.idle": "2026-08-06T19:38:17.015509Z",
"shell.execute_reply": "2026-08-06T19:38:17.014749Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.04 [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": "2026-08-06T19:38:17.017820Z",
"iopub.status.busy": "2026-08-06T19:38:17.017685Z",
"iopub.status.idle": "2026-08-06T19:59:57.525819Z",
"shell.execute_reply": "2026-08-06T19:59:57.524693Z"
}
},
"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 | 6.2292e-02 | 2.9919e-01 | 155003 | 2488320 | 1034 | 3456 | 32.6 |reached target block errors\n",
" 2.0 | 3.1483e-02 | 1.5953e-01 | 145074 | 4608000 | 1021 | 6400 | 0.4 |reached target block errors\n",
" 4.0 | 1.4062e-02 | 7.5925e-02 | 133486 | 9492480 | 1001 | 13184 | 0.8 |reached target block errors\n",
" 6.0 | 5.6645e-03 | 3.0460e-02 | 134165 | 23685120 | 1002 | 32896 | 2.1 |reached target block errors\n",
" 8.0 | 1.9008e-03 | 1.0622e-02 | 129106 | 67921920 | 1002 | 94336 | 6.0 |reached target block errors\n",
" 10.0 | 6.1561e-04 | 3.5352e-03 | 113470 | 184320000 | 905 | 256000 | 16.3 |reached max iterations\n",
" 12.0 | 1.6165e-04 | 9.6484e-04 | 29795 | 184320000 | 247 | 256000 | 16.3 |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 | 6.1726e-02 | 3.0035e-01 | 153593 | 2488320 | 1038 | 3456 | 47.8 |reached target block errors\n",
" 2.0 | 3.1102e-02 | 1.5656e-01 | 143318 | 4608000 | 1002 | 6400 | 2.7 |reached target block errors\n",
" 4.0 | 1.4294e-02 | 7.5346e-02 | 136999 | 9584640 | 1003 | 13312 | 5.7 |reached target block errors\n",
" 6.0 | 5.7910e-03 | 3.2552e-02 | 128087 | 22118400 | 1000 | 30720 | 13.2 |reached target block errors\n",
" 8.0 | 1.9401e-03 | 1.1026e-02 | 126945 | 65433600 | 1002 | 90880 | 40.2 |reached target block errors\n",
" 10.0 | 6.4860e-04 | 3.7344e-03 | 119550 | 184320000 | 956 | 256000 | 110.9 |reached max iterations\n",
" 12.0 | 1.6452e-04 | 9.2969e-04 | 30324 | 184320000 | 238 | 256000 | 110.4 |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 | 4.7738e-02 | 2.3208e-01 | 149583 | 3133440 | 1010 | 4352 | 33.6 |reached target block errors\n",
" 2.0 | 2.1556e-02 | 1.1026e-01 | 141048 | 6543360 | 1002 | 9088 | 0.6 |reached target block errors\n",
" 4.0 | 9.3615e-03 | 5.2893e-02 | 127688 | 13639680 | 1002 | 18944 | 1.2 |reached target block errors\n",
" 6.0 | 3.4745e-03 | 1.8882e-02 | 132889 | 38246400 | 1003 | 53120 | 3.4 |reached target block errors\n",
" 8.0 | 1.1418e-03 | 6.4513e-03 | 127434 | 111605760 | 1000 | 155008 | 10.0 |reached target block errors\n",
" 10.0 | 3.5272e-04 | 2.0273e-03 | 65013 | 184320000 | 519 | 256000 | 16.5 |reached max iterations\n",
" 12.0 | 8.3464e-05 | 4.9609e-04 | 15384 | 184320000 | 127 | 256000 | 16.5 |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 | 1.3014e-01 | 5.7199e-01 | 167915 | 1290240 | 1025 | 1792 | 46.4 |reached target block errors\n",
" 2.0 | 8.3717e-02 | 3.8988e-01 | 162023 | 1935360 | 1048 | 2688 | 1.0 |reached target block errors\n",
" 4.0 | 4.8690e-02 | 2.4029e-01 | 148081 | 3041280 | 1015 | 4224 | 1.5 |reached target block errors\n",
" 6.0 | 2.6387e-02 | 1.3483e-01 | 141048 | 5345280 | 1001 | 7424 | 2.6 |reached target block errors\n",
" 8.0 | 1.3619e-02 | 7.1889e-02 | 136804 | 10045440 | 1003 | 13952 | 5.0 |reached target block errors\n",
" 10.0 | 5.6713e-03 | 3.2179e-02 | 127531 | 22487040 | 1005 | 31232 | 11.1 |reached target block errors\n",
" 12.0 | 2.2564e-03 | 1.5274e-02 | 106468 | 47185920 | 1001 | 65536 | 23.4 |reached target block errors\n",
" 14.0 | 7.3456e-04 | 9.8991e-03 | 53481 | 72806400 | 1001 | 101120 | 38.3 |reached target block errors\n",
" 16.0 | 3.4782e-04 | 1.0673e-02 | 23464 | 67461120 | 1000 | 93696 | 33.6 |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=32,\n",
" max_mc_iter=2000,\n",
" num_target_block_errors=1000,\n",
" target_bler=1e-3,\n",
" compile_mode=\"default\",\n",
" verbose=True)\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": "2026-08-06T19:59:57.528050Z",
"iopub.status.busy": "2026-08-06T19:59:57.527898Z",
"iopub.status.idle": "2026-08-06T19:59:57.790710Z",
"shell.execute_reply": "2026-08-06T19:59:57.789732Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation duration: 0.18 [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
}