{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Physical Layer Abstraction\n", "\n", "In this notebook, you will learn how to bypass the simulation of time-consuming physical\n", "layer (PHY) procedures, such as MIMO detection and decoding, via [physical layer\n", "abstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html).\n", "\n", "Specifically, we will demonstrate how to abstract PHY computations for each user by\n", " - Aggregating the per-stream SINR values into a single, AWGN-equivalent effective\n", " SINR value;\n", " - Mapping the effective SINR value to a transport block error rate (TBLER)\n", " using pre-computed look-up tables from the forward error correction (FEC)\n", " module of Sionna PHY.\n", " \n", "This method enables the fast computation of the transmission rate and HARQ feedback on\n", "a per-user basis, allowing system-level simulations to scale up to tens of base stations and hundreds\n", "of users, as demonstrated in the related [system-level simulation notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/End-to-End_Example.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "We start by importing Sionna and the relevant external libraries." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:35.457995Z", "iopub.status.busy": "2026-08-06T22:14:35.457870Z", "iopub.status.idle": "2026-08-06T22:14:38.727962Z", "shell.execute_reply": "2026-08-06T22:14:38.726921Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna.sys\n", "except ImportError as e:\n", " import os\n", " import sys\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", "import torch\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:38.730725Z", "iopub.status.busy": "2026-08-06T22:14:38.730429Z", "iopub.status.idle": "2026-08-06T22:14:38.734332Z", "shell.execute_reply": "2026-08-06T22:14:38.733456Z" } }, "outputs": [], "source": [ "# Additional external libraries\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Sionna components\n", "from sionna.phy.utils import insert_dims, db_to_lin\n", "from sionna.phy.utils.random import uniform, normal\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.channel import subcarrier_frequencies, cir_to_ofdm_channel\n", "from sionna.phy.channel.tr38901 import UMi, UMa, RMa, PanelArray\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.sys import PHYAbstraction, InnerLoopLinkAdaptation\n", "from sionna.phy import config\n", "\n", "# Internal computational precision\n", "sionna.phy.config.precision = 'single' # 'single' or 'double'\n", "\n", "# Set random seed for reproducibility\n", "sionna.phy.config.seed = 42" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Instantiate a PHYAbstraction object\n", "\n", "By instantiating a [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PHYAbstraction.html) object, precomputed effective SINR-to-BLER\n", "tables are loaded for each available modulation and coding scheme (MCS) index. \n", "More information about MCS can be found in the documentation of the [5G NR\n", "Transport Block](https://nvlabs.github.io/sionna/phy/api/nr/sionna.phy.nr.TBConfig.html)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:38.736364Z", "iopub.status.busy": "2026-08-06T22:14:38.736235Z", "iopub.status.idle": "2026-08-06T22:14:39.855578Z", "shell.execute_reply": "2026-08-06T22:14:39.854641Z" } }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Instantiate a PHYAbstraction object\n", "phy_abs = PHYAbstraction()\n", "\n", "mcs_category = 0 # 0 for uplink, 1 for downlink\n", "mcs_table_index = 1 # Table index: [1,2] for UL, [1,2,3,4] for DL\n", "mcs_index = 15 # MCS index\n", "\n", "# Plot a BLER table\n", "_ = phy_abs.plot(plot_subset={\n", " 'category':\n", " {mcs_category: {'index':\n", " {mcs_table_index:\n", " {'MCS': [mcs_index, mcs_index+2]}}}}}, # MCS index\n", " show=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As can be seen from the figure above, the BLER depends not only depend on the\n", "MCS but also on the code block size (CBS). The longer the code, the lower the BLER." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Retrieve BLER values from interpolated tables\n", "\n", "When a [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PHYAbstraction.html) class is instantiated, the precomputed tables are interpolated over a fine\n", "two-dimensional grid of SINR and code block size (CBS) values. These\n", "interpolated tables are then used to obtain the BLER for different values of\n", "SINR and CBS. \n", "\n", "The following code snippet shows this operation in detail. In\n", "general, you are not supposed to call this method directly, but rather use the\n", "`call` method of the `PHYAbstraction` class which does this for you, as shown\n", "later on.\n", "\n", "This method also returns the transport block error rate (TBLER), which is the\n", "probability that at least one code block in a transport block is not decoded\n", "correctly.\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:39.858094Z", "iopub.status.busy": "2026-08-06T22:14:39.857953Z", "iopub.status.idle": "2026-08-06T22:14:39.872201Z", "shell.execute_reply": "2026-08-06T22:14:39.871275Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The BLER for MCS 15 at SNR 9 dB and CB size 80 is 0.0511\n" ] } ], "source": [ "# Define the SNR and CB size at which BLER is retrieved\n", "snr_eff_db = 9\n", "cb_size = 80\n", "\n", "# Compute the corresponding indices for the BLER interpolated table\n", "snr_db_idx = phy_abs.get_idx_from_grid(snr_eff_db, 'snr')\n", "cbs_idx = phy_abs.get_idx_from_grid(cb_size, 'cbs')\n", "\n", "# Retrieve the interpolated BLER value\n", "bler = phy_abs.bler_table_interp[mcs_category,\n", " mcs_table_index - 1,\n", " mcs_index,\n", " cbs_idx,\n", " snr_db_idx]\n", "\n", "print(f'The BLER for MCS {mcs_index} at SNR {snr_eff_db} dB and CB size {cb_size} is {bler.cpu().numpy():.4f}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a new BLER table\n", "\n", "Optionally, in addition to or as a replacement for the pre-computed BLER tables that are shipped\n", "with Sionna SYS, it is possible to generate new BLER tables at specified MCS indices, SNR and\n", "code block size values. \n", "This might also be useful, if you want experiment with different type of\n", "decoders. \n", "\n", "For more details, see the documentation of the\n", "[new_bler_table](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PHYAbstraction.html#sionna.sys.PHYAbstraction.new_bler_table)\n", "method and/or its source code." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:39.874435Z", "iopub.status.busy": "2026-08-06T22:14:39.874289Z", "iopub.status.idle": "2026-08-06T22:15:11.844379Z", "shell.execute_reply": "2026-08-06T22:15:11.843338Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "BLER simulations started. \n", "Total # (category, index, MCS, SINR) points to simulate: 3\n", "\n", "\n", "Simulating category=1, index=2, CBS=24, MCS=16...\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -1.246 | 2.7083e-01 | 1.0000e+00 | 975 | 3600 | 150 | 150 | 0.5 |reached max iterations\n", " -0.412 | 2.5528e-01 | 1.0000e+00 | 919 | 3600 | 150 | 150 | 0.3 |reached max iterations\n", " 0.421 | 2.4417e-01 | 9.9333e-01 | 879 | 3600 | 149 | 150 | 0.3 |reached max iterations\n", " 1.254 | 2.1917e-01 | 9.7333e-01 | 789 | 3600 | 146 | 150 | 0.3 |reached max iterations\n", " 2.088 | 2.0528e-01 | 9.9333e-01 | 739 | 3600 | 149 | 150 | 0.3 |reached max iterations\n", " 2.921 | 2.0139e-01 | 9.6667e-01 | 725 | 3600 | 145 | 150 | 0.3 |reached max iterations\n", " 3.754 | 1.8056e-01 | 9.5333e-01 | 650 | 3600 | 143 | 150 | 0.3 |reached max iterations\n", " 4.588 | 1.5944e-01 | 8.8000e-01 | 574 | 3600 | 132 | 150 | 0.3 |reached max iterations\n", " 5.421 | 1.4861e-01 | 7.9333e-01 | 535 | 3600 | 119 | 150 | 0.3 |reached max iterations\n", " 6.254 | 1.0083e-01 | 6.3333e-01 | 363 | 3600 | 95 | 150 | 0.3 |reached max iterations\n", " 7.088 | 8.3611e-02 | 5.2000e-01 | 301 | 3600 | 78 | 150 | 0.3 |reached max iterations\n", " 7.921 | 6.1944e-02 | 3.6000e-01 | 223 | 3600 | 54 | 150 | 0.3 |reached max iterations\n", " 8.754 | 2.6667e-02 | 1.4000e-01 | 96 | 3600 | 21 | 150 | 0.3 |reached max iterations\n", " 9.588 | 1.4444e-02 | 9.3333e-02 | 52 | 3600 | 14 | 150 | 0.3 |reached max iterations\n", " 10.421 | 4.1667e-03 | 2.0000e-02 | 15 | 3600 | 3 | 150 | 0.3 |reached max iterations\n", " 11.254 | 5.5556e-04 | 6.6667e-03 | 2 | 3600 | 1 | 150 | 0.3 |reached max iterations\n", " 12.088 | 0.0000e+00 | 0.0000e+00 | 0 | 3600 | 0 | 150 | 0.3 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 12.1 dB.\n", "\n", "\n", "PROGRESS: 33.33%\n", "Estimated remaining time: 0:00:11 [h:m:s]\n", "\n", "\n", "Simulating category=1, index=2, CBS=200, MCS=16...\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -1.246 | 2.5033e-01 | 1.0000e+00 | 7510 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " -0.412 | 2.4037e-01 | 1.0000e+00 | 7211 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 0.421 | 2.3110e-01 | 1.0000e+00 | 6933 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 1.254 | 2.1307e-01 | 1.0000e+00 | 6392 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 2.088 | 2.0400e-01 | 1.0000e+00 | 6120 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 2.921 | 1.8730e-01 | 1.0000e+00 | 5619 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 3.754 | 1.7477e-01 | 1.0000e+00 | 5243 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 4.588 | 1.5450e-01 | 1.0000e+00 | 4635 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 5.421 | 1.4260e-01 | 1.0000e+00 | 4278 | 30000 | 150 | 150 | 0.4 |reached max iterations\n", " 6.254 | 1.0920e-01 | 9.9333e-01 | 3276 | 30000 | 149 | 150 | 0.4 |reached max iterations\n", " 7.088 | 8.0300e-02 | 8.7333e-01 | 2409 | 30000 | 131 | 150 | 0.4 |reached max iterations\n", " 7.921 | 3.6033e-02 | 4.4667e-01 | 1081 | 30000 | 67 | 150 | 0.4 |reached max iterations\n", " 8.754 | 9.2000e-03 | 1.4000e-01 | 276 | 30000 | 21 | 150 | 0.4 |reached max iterations\n", " 9.588 | 3.3333e-04 | 6.6667e-03 | 10 | 30000 | 1 | 150 | 0.4 |reached max iterations\n", " 10.421 | 4.6667e-04 | 6.6667e-03 | 14 | 30000 | 1 | 150 | 0.4 |reached max iterations\n", " 11.254 | 0.0000e+00 | 0.0000e+00 | 0 | 30000 | 0 | 150 | 0.4 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 11.3 dB.\n", "\n", "\n", "PROGRESS: 66.67%\n", "Estimated remaining time: 0:00:05 [h:m:s]\n", "\n", "\n", "Simulating category=1, index=2, CBS=3000, MCS=16...\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -1.246 | 2.1049e-01 | 1.0000e+00 | 94720 | 450000 | 150 | 150 | 1.6 |reached max iterations\n", " -0.412 | 1.9653e-01 | 1.0000e+00 | 88437 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 0.421 | 1.8138e-01 | 1.0000e+00 | 81619 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 1.254 | 1.6665e-01 | 1.0000e+00 | 74992 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 2.088 | 1.5227e-01 | 1.0000e+00 | 68521 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 2.921 | 1.3977e-01 | 1.0000e+00 | 62895 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 3.754 | 1.2504e-01 | 1.0000e+00 | 56267 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 4.588 | 1.1191e-01 | 1.0000e+00 | 50360 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 5.421 | 9.6009e-02 | 1.0000e+00 | 43204 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 6.254 | 7.6693e-02 | 1.0000e+00 | 34512 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 7.088 | 5.0280e-02 | 1.0000e+00 | 22626 | 450000 | 150 | 150 | 1.5 |reached max iterations\n", " 7.921 | 5.6511e-03 | 5.6000e-01 | 2543 | 450000 | 84 | 150 | 1.5 |reached max iterations\n", " 8.754 | 0.0000e+00 | 0.0000e+00 | 0 | 450000 | 0 | 150 | 1.5 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 8.8 dB.\n", "\n", "\n", "PROGRESS: 100.00%\n", "Estimated remaining time: 0:00:00 [h:m:s]\n", "\n", "\n", "Simulations completed!\n", "\n" ] } ], "source": [ "# Define MCS indices at which the new BLER table is simulated\n", "sim_set = {'category': {\n", " 1: # 0 for PUSCH, 1 for PDSCH\n", " {'index': {\n", " 2: {'MCS': [16]}\n", " }}}}\n", "\n", "# SINR and Code Block size values at which new simulations are performed\n", "sinr_dbs = np.linspace(5, 25, 25)\n", "cb_sizes = [24, 200, 3000]\n", "\n", "# Compute new BLER tables\n", "new_table = phy_abs.new_bler_table(\n", " sinr_dbs,\n", " cb_sizes,\n", " sim_set,\n", " max_mc_iter=15, # max n. Monte-Carlo iterations per SNR points\n", " batch_size=10,\n", " verbose=True)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:11.846638Z", "iopub.status.busy": "2026-08-06T22:15:11.846494Z", "iopub.status.idle": "2026-08-06T22:15:12.016630Z", "shell.execute_reply": "2026-08-06T22:15:12.015775Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the new BLER table\n", "phy_abs.plot(plot_subset=sim_set,\n", " show=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please note that the new BLER table is overwritten to `phy_abs.bler_table` at\n", "the corresponding entries.\n", "We can also inspect the BLER table directly:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.018934Z", "iopub.status.busy": "2026-08-06T22:15:12.018768Z", "iopub.status.idle": "2026-08-06T22:15:12.023409Z", "shell.execute_reply": "2026-08-06T22:15:12.022441Z" } }, "outputs": [ { "data": { "text/plain": [ "{'BLER': [1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 1.0,\n", " 0.9933333396911621,\n", " 0.8733333349227905,\n", " 0.4466666579246521,\n", " 0.14000000059604645,\n", " 0.006666666828095913,\n", " 0.006666666828095913,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0,\n", " 0.0]}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new_table[\"category\"][1][\"index\"][2][\"MCS\"][16][\"CBS\"][200]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bypass physical layer computations\n", "\n", "Once the `PHYAbstraction` object has been instantiated, we can use it to\n", "produce \n", "- Number of successfully decoded bits;\n", "- Hybrid automatic repeat request (HARQ) value, reporting an ACK (HARQ=1) or a NACK (HARQ=0) depending on whether the transport block has been correctly received. If missing, -1 is reported;\n", "- Effective SINR value, that can be used as a measure of the channel condition quality for the user;\n", "- Transport block error rate (TBLER), being the probability that at least one\n", " code block in a transport block is not decoded correctly;\n", "- Block error rate (BLER), defining the probability that a code block is not decoded correctly.\n", "\n", "We first set up the main parameters:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.025394Z", "iopub.status.busy": "2026-08-06T22:15:12.025267Z", "iopub.status.idle": "2026-08-06T22:15:12.028571Z", "shell.execute_reply": "2026-08-06T22:15:12.027659Z" } }, "outputs": [], "source": [ "# MCS table index\n", "# Ranges within [1;4] for downlink and [1;2] for uplink, as in TS 38.214\n", "mcs_table_index = 1\n", "\n", "direction = 'uplink' # 'downlink' or 'uplink'\n", "mcs_category = int(direction == 'downlink')\n", "num_ut = 80\n", "\n", "# Time/frequency resource grid\n", "num_ofdm_symbols = 14\n", "num_subcarriers = 1024\n", "num_streams_per_ut = 1\n", "\n", "# BLER target value\n", "bler_target = .1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we generate the SINR on a per-stream basis in random fashion. \n", "In subsequent tutorials you will learn how to generate more realistic SINR values based on\n", "stochastic channel models or ray tracing." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.030442Z", "iopub.status.busy": "2026-08-06T22:15:12.030316Z", "iopub.status.idle": "2026-08-06T22:15:12.034345Z", "shell.execute_reply": "2026-08-06T22:15:12.033635Z" } }, "outputs": [], "source": [ "# Generate random SINR values across UT\n", "# Target shape:\n", "# […, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n", "sinr_db = uniform([1, 1, num_ut, 1], low=-5, high=30)\n", "\n", "# Generate random SINR values across UT, subcarriers, and OFDM symbols\n", "sinr_db = sinr_db + normal(\n", " [num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut], mean=0, std=2)\n", "sinr = db_to_lin(sinr_db)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To bypass the physical layer, the `PHYAbstraction` module also needs the MCS\n", "indices for each user. \n", "For simplicity, we select it as the highest MCS index guaranteeing a TBLER not exceeding\n", "the specified target value, via the link adaptation module\n", "[InnerLoopLinkAdaptation (ILLA)](https://nvlabs.github.io/sionna/sys/api/sionna.sys.InnerLoopLinkAdaptation.html)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.036325Z", "iopub.status.busy": "2026-08-06T22:15:12.036200Z", "iopub.status.idle": "2026-08-06T22:15:12.091373Z", "shell.execute_reply": "2026-08-06T22:15:12.090472Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MCS indices: [27 6 27 3 16 19 5 22 5 12 3 24 27 16 27 17 27 23 3 27 17 21 10 27\n", " 27 17 27 24 5 7 19 27 27 21 15 27 23 27 7 5 4 27 26 19 10 16 5 24\n", " 21 6 7 24 27 24 15 3 7 12 27 26 24 16 27 7 5 27 25 19 27 27 27 27\n", " 27 4 27 26 16 27 14 20]\n" ] } ], "source": [ "illa = InnerLoopLinkAdaptation(phy_abs, bler_target)\n", "\n", "mcs_index = illa(sinr=sinr,\n", " mcs_table_index=mcs_table_index)\n", "print(\"MCS indices: \",mcs_index.cpu().numpy())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now call the `PHYAbstraction` object, providing the generated\n", "per-stream SINR and per-user MCS index to obtain the number of decoded bits,\n", "HARQ feedback, effective SINR, TBLER and BLER.\n", "\n", "Note that the transport block size is derived internally from the shape of the input per-stream SINR,\n", "revealing the number of allocated resources, and MCS index." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.093759Z", "iopub.status.busy": "2026-08-06T22:15:12.093615Z", "iopub.status.idle": "2026-08-06T22:15:12.101684Z", "shell.execute_reply": "2026-08-06T22:15:12.100856Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "HARQ feedback: [1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1\n", " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", " 1 1 1 1 1 1]\n" ] } ], "source": [ "# [batch_size, num_ut]\n", "num_decoded_bits, harq_feedback, sinr_eff, tbler, bler = \\\n", " phy_abs(mcs_index,\n", " sinr=sinr,\n", " mcs_table_index=mcs_table_index,\n", " mcs_category=mcs_category)\n", "\n", "sinr_eff = sinr_eff.cpu().numpy()\n", "\n", "# When HARQ feedback = 0, the Transport Block has not been decoded successfully\n", "assert np.all(num_decoded_bits.cpu().numpy()[harq_feedback.cpu().numpy()==0]==0)\n", "\n", "# Inspect the HARQ feedback\n", "print(\"HARQ feedback: \", harq_feedback.cpu().numpy())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the HARQ feedback is generated randomly depending on the TBLER. You\n", "can call the cell above multiple times to observe this behavior. \n", "Note that even if a user\n", "has multiple streams allocated, it is assumed that they are part of the same\n", "transport block." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effective SINR\n", "\n", "The effective SINR is the equivalent SINR value of an AWGN channel that\n", "reproduces the same block error rate (BLER) as a fading channel where codeword\n", "symbols experience varying SINR values across different subcarriers, streams, or\n", "time instances. \n", "(*In contrast, in an AWGN channel, all codeword symbols experience uniform SINR\n", "conditions.*)\n", "\n", "\n", "For a user experiencing a signal-to-interference-plus-noise ratio\n", "$\\mathrm{SINR}_i$ on time/frequency resource $i=1,\\dots,N$, its effective SINR is computed as:\n", "$$\n", "-\\beta \\log\\left( \\frac{1}{N} \\sum_{i=1}^N e^{-\\mathrm{SINR}_i/\\beta}\\right)\n", "$$\n", "where $\\beta>0$ is a parameter whose value depends on the used MCS.\n", "\n", "It is interesting to visualize the relationship between the per-stream and the equivalent\n", "SINR for each user." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:12.103706Z", "iopub.status.busy": "2026-08-06T22:15:12.103578Z", "iopub.status.idle": "2026-08-06T22:15:20.485292Z", "shell.execute_reply": "2026-08-06T22:15:20.484383Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Sort users in increasing order of effective SINR\n", "ind_sort = np.argsort(sinr_eff)\n", "\n", "# [num_ut, num_ofdm_symbols, num_subcarriers, num_streams_per_ut]\n", "sinr_t = np.transpose(sinr.cpu().numpy(), [2, 0, 1, 3])\n", "# [num_ut, num_ofdm_symbols*num_subcarriers*num_streams_per_ut]\n", "sinr_t = np.reshape(sinr_t, [num_ut, -1])\n", "sinr_t = sinr_t[ind_sort, :]\n", "\n", "# Visualize the effective vs. per-stream SINR values\n", "fig, ax = plt.subplots()\n", "for ut in range(num_ut):\n", " label = 'Per-stream' if ut==0 else None\n", " ax.scatter([ut]*sinr_t.shape[1], 10*np.log10(sinr_t[ut, :]), c='y', alpha=.3, edgecolors='k', label=label)\n", "ax.plot(10*np.log10(sinr_eff[ind_sort]), '-k', linewidth=3, label='Effective')\n", "ax.plot(10*np.log10(sinr_t.mean(axis=1)), '--r', linewidth=2, label='Arithmetic mean')\n", "ax.set_xlabel('User')\n", "ax.set_ylabel('SINR [dB]')\n", "ax.set_title('Per-stream vs. effective SINR')\n", "ax.grid()\n", "ax.legend(framealpha=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that for users in good channel conditions, the effective SINR shifts\n", "to lower percentiles of the per-stream SINR distribution due to the exponent's\n", "effect, which attenuates high per-stream SINR values. \n", "In other words, at low average SINR, the effective SINR is close to the arithmetic mean of the per-stream SINR values, whereas at high SINR, it is significantly lower than the average per-stream SINR." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Achieved vs. Shannon spectral efficiency\n", "\n", "Finally, we compute the achieved spectral efficiency and compare it against the\n", "corresponding Shannon upper bound, for each user." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:20.487142Z", "iopub.status.busy": "2026-08-06T22:15:20.487006Z", "iopub.status.idle": "2026-08-06T22:15:20.492425Z", "shell.execute_reply": "2026-08-06T22:15:20.491582Z" } }, "outputs": [], "source": [ "# Determine if a resource element carries energy from at \n", "# least one stream of a particular user\n", "# [num_ofdm_sym, num_subcarriers, num_ut]\n", "is_re_allocated = np.sum(sinr.cpu().numpy(), axis=-1) > 0\n", "\n", "# Sum the number of allocated resource elements across\n", "# all subcarriers and OFDM symbols\n", "# [num_ut]\n", "num_allocated_re = np.sum(is_re_allocated, axis=(-2, -3))\n", "\n", "# Achieved spectral efficiency\n", "# number of decoded bits of the transport block divided by the number of\n", "# allocated resource elements\n", "# [num_ut]\n", "se_achieved = num_decoded_bits.cpu().numpy() / num_allocated_re\n", "\n", "# Shannon capacity\n", "# [num_ut]\n", "se_shannon = np.log2(1 + sinr_eff)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:15:20.494442Z", "iopub.status.busy": "2026-08-06T22:15:20.494307Z", "iopub.status.idle": "2026-08-06T22:15:20.593080Z", "shell.execute_reply": "2026-08-06T22:15:20.592148Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def get_cdf(values):\n", " \"\"\"\n", " Computes the Cumulative Distribution Function (CDF) of the input vector\n", " \"\"\"\n", " values = np.array(values).flatten()\n", " n = len(values)\n", " sorted_val = np.sort(values)\n", " cumulative_prob = np.arange(1, n+1) / n\n", " return sorted_val, cumulative_prob\n", "\n", "fig, ax = plt.subplots(figsize=(5,4))\n", "ind_sort = np.argsort(se_shannon)\n", "ax.plot(se_achieved[ind_sort], label='Achieved')\n", "ax.plot(se_shannon[ind_sort], label='Shannon bound')\n", "ax.set_title('Spectral Efficiency')\n", "ax.set_xlabel('User')\n", "ax.set_ylabel('SE [bits/s/Hz]')\n", "ax.legend()\n", "ax.grid()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can see that the achieved spectral efficiency is substantially lower\n", "than the Shannon capacity. At low SINR, this is mainly due to the fact that the targeted BLER\n", "limits the achievable spectral efficiency. At high SINR, the highest available MCS scheme is the\n", "main limiting factor. A zero spectral efficiency is observed when the transport\n", "block has not been decoded correctly, which occurs with probability TBLER.\n", "\n", "You can play around with different BLER targets, MCS indices, tables, and\n", "resource grid sizes (i.e., number of OFDM symbols and subcarriers) to observe their impact on the achieved spectral efficiency." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PHYAbstraction.html) class bypasses the physical layer processing via the\n", "computation of an AWGN-equivalent effective SINR which is mapped to a BLER value\n", "according to precomputed tables.\n", "\n", "In this notebook, the SINR generation and MCS selection processes are\n", "intentionally simplified. \n", "For a deeper understanding of these topics, you can have a look at the following notebooks:\n", "\n", "- SINR computation from OFDM channel matrices is covered in the \n", " [hexagonal grid topology notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/HexagonalGrid.html);\n", "- Link adaptation for MCS selection is discussed in the \n", " [link adaptation notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/LinkAdaptation.html).\n", "\n", "## References\n", "\n", "[1] S. Lagen, K. Wanuga, H. Elkotby, S. Goyal, N. Patriciello, L.\n", " Giupponi. *New radio physical layer abstraction for\n", " system-level simulations of 5G networks*. IEEE International\n", " Conference on Communications (ICC), 2020 \n" ] } ], "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" } }, "nbformat": 4, "nbformat_minor": 2 }