{ "cells": [ { "cell_type": "markdown", "id": "f543de9b-3858-45dd-bddf-cddddcc60da3", "metadata": {}, "source": [ "# Part 3: Advanced Link-level Simulations" ] }, { "cell_type": "markdown", "id": "c55670f1-3ee6-481d-9661-d59e61074818", "metadata": {}, "source": [ "This tutorial will guide you through Sionna, from its basic principles to the implementation of a point-to-point link with a 5G NR compliant code and a 3GPP channel model.\n", "You will also learn how to write custom trainable blocks by implementing a state of the art neural receiver, and how to train and evaluate end-to-end communication systems.\n", "\n", "The tutorial is structured in four notebooks:\n", "\n", "- Part I: Getting started with Sionna\n", "\n", "- Part II: Differentiable Communication Systems\n", "\n", "- **Part III: Advanced Link-level Simulations**\n", "\n", "- Part IV: Toward Learned Receivers\n" ] }, { "cell_type": "markdown", "id": "7f2a6b68", "metadata": {}, "source": [ "The [official documentation](https://nvlabs.github.io/sionna/index.html) provides key material on how to use Sionna and how its components are implemented." ] }, { "cell_type": "markdown", "id": "d7c4211f-beee-4142-9289-c385d0180877", "metadata": {}, "source": [ "* [Imports](#Imports)\n", "* [OFDM Resource Grid and Stream Management](#OFDM-Resource-Grid-and-Stream-Management)\n", "* [Antenna Arrays](#Antenna-Arrays)\n", "* [Channel Model](#Channel-Model)\n", "* [Uplink Transmission in the Frequency Domain](#Uplink-Transmission-in-the-Frequency-Domain)" ] }, { "cell_type": "markdown", "id": "74a184ac-1f64-407f-9a24-c53d40799be2", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "d84bd69e-59f2-4a42-8dd3-730c8c1d821e", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:23.796857Z", "iopub.status.busy": "2026-08-06T15:54:23.796515Z", "iopub.status.idle": "2026-08-06T15:54:26.924719Z", "shell.execute_reply": "2026-08-06T15:54:26.923779Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna as sn\n", " import sionna.phy\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", "import numpy as np\n", "import warnings\n", "\n", "# For plotting\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "# Set seed for reproducible results\n", "sn.phy.config.seed = 42\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", ")" ] }, { "cell_type": "markdown", "id": "e1d95619-758f-434f-a009-4d66970544d5", "metadata": {}, "source": [ "## OFDM Resource Grid and Stream Management" ] }, { "cell_type": "markdown", "id": "78ef934e-47c5-41bb-87e0-ad8332ccf8a6", "metadata": {}, "source": [ "We will setup a realistic SIMO point-to-point link between a mobile user terminal (UT) and a base station (BS). The system we will setup is shown in the figure below." ] }, { "cell_type": "markdown", "id": "a22bc456-64ad-4f9e-9a3a-bb256da1da4a", "metadata": {}, "source": [ "![SIMO](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "id": "8c14cb8b-74b2-41a3-93a5-067059a68d2e", "metadata": {}, "source": [ "### Stream Management\n", "\n", "For any type of MIMO simulations, it is required to setup a `StreamManagement` object.\n", "It determines which transmitters and receivers communicate data streams with each other.\n", "In our scenario, we will configure a single UT equipped with a single antenna and a single BS equipped with multiple antennas.\n", "Whether the UT or BS is considered as a transmitter depends on the link direction, which can be\n", "either uplink or downlink. The `StreamManagement` 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\n", "is equal to the number of UT antennas." ] }, { "cell_type": "code", "execution_count": 2, "id": "964105d5-eaa0-4f4c-94b8-82eff73c73e0", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:26.927881Z", "iopub.status.busy": "2026-08-06T15:54:26.927608Z", "iopub.status.idle": "2026-08-06T15:54:26.931085Z", "shell.execute_reply": "2026-08-06T15:54:26.930421Z" } }, "outputs": [], "source": [ "# Define the number of UT and BS antennas\n", "NUM_UT = 1\n", "NUM_BS = 1\n", "NUM_UT_ANT = 1\n", "NUM_BS_ANT = 4\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.\n", "# For example, considering a system with 2 RX and 4 TX, the RX-TX\n", "# association matrix could be\n", "# [ [1 , 1, 0, 0],\n", "# [0 , 0, 1, 1] ]\n", "# which indicates that the RX 0 receives from TX 0 and 1, and RX 1 receives from\n", "# TX 2 and 3.\n", "#\n", "# In this notebook, as we have only a single transmitter and receiver,\n", "# the RX-TX association matrix is simply:\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 straightforward. However,\n", "# in setups with multiple transmitters and receivers, the stream management\n", "# is more involved.\n", "STREAM_MANAGEMENT = sn.phy.mimo.StreamManagement(RX_TX_ASSOCIATION, NUM_STREAMS_PER_TX)" ] }, { "cell_type": "markdown", "id": "3c71b3bc-d9dd-4ef0-a13b-d04b09b66ac9", "metadata": {}, "source": [ "### Resource Grid\n", "\n", "We will also configure a `ResourceGrid` object. It is used to allocate data symbols and pilot symbols on the resource grid. In this notebook, we use a `kronecker` pilot pattern, as described in the [OFDM-MIMO Detection](https://nvlabs.github.io/sionna/phy/tutorials/notebooks/OFDM_MIMO_Detection.html) tutorial.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/ofdm/index.html) for all parameters." ] }, { "cell_type": "code", "execution_count": 3, "id": "6a7a90ac-5e6a-4c9a-97f6-d3ad02f9f39b", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:26.933248Z", "iopub.status.busy": "2026-08-06T15:54:26.933123Z", "iopub.status.idle": "2026-08-06T15:54:27.164688Z", "shell.execute_reply": "2026-08-06T15:54:27.163734Z" } }, "outputs": [], "source": [ "RESOURCE_GRID = sn.phy.ofdm.ResourceGrid(num_ofdm_symbols=14,\n", " fft_size=76,\n", " subcarrier_spacing=30e3,\n", " num_tx=NUM_UT,\n", " num_streams_per_tx=NUM_STREAMS_PER_TX,\n", " cyclic_prefix_length=6,\n", " pilot_pattern=\"kronecker\",\n", " pilot_ofdm_symbol_indices=[2, 11])" ] }, { "cell_type": "code", "execution_count": 4, "id": "f7a8edae-1b8e-4cf3-8db9-e93b3a96e46d", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:27.166834Z", "iopub.status.busy": "2026-08-06T15:54:27.166697Z", "iopub.status.idle": "2026-08-06T15:54:27.410608Z", "shell.execute_reply": "2026-08-06T15:54:27.409735Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RESOURCE_GRID.pilot_pattern.show();" ] }, { "cell_type": "markdown", "id": "bba7bfa7-3ed1-4f6e-95f2-03b4c8d8b6f2", "metadata": {}, "source": [ "## Antenna Arrays" ] }, { "cell_type": "markdown", "id": "1a0f5dfa-bbd2-4b08-9a9a-1e6f1efbac05", "metadata": {}, "source": [ "We use the `Antenna` and `AntennaArray` classes from the 3GPP TR38.901 channel model to configure our antenna elements and arrays.\n", "The `Antenna` class consists of a single antenna element, whereas the `AntennaArray` class consists of multiple antenna elements.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.tr38901.Antenna.html) for more information." ] }, { "cell_type": "code", "execution_count": 5, "id": "6b394e35-e530-4d61-9f77-a389f1a7c73d", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:27.412639Z", "iopub.status.busy": "2026-08-06T15:54:27.412505Z", "iopub.status.idle": "2026-08-06T15:54:27.516252Z", "shell.execute_reply": "2026-08-06T15:54:27.515523Z" } }, "outputs": [ { "data": { "image/png": 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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 = sn.phy.channel.tr38901.Antenna(polarization=\"single\",\n", " polarization_type=\"V\",\n", " antenna_pattern=\"38.901\",\n", " carrier_frequency=CARRIER_FREQUENCY)\n", "UT_ARRAY.show();\n", "\n", "BS_ARRAY = sn.phy.channel.tr38901.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)" ] }, { "cell_type": "code", "execution_count": 6, "id": "8f8912c3-7c8f-4b17-8d7a-df0b50c20314", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:27.518249Z", "iopub.status.busy": "2026-08-06T15:54:27.518115Z", "iopub.status.idle": "2026-08-06T15:54:28.259238Z", "shell.execute_reply": "2026-08-06T15:54:28.258392Z" } }, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BS_ARRAY.show_element_radiation_pattern();" ] }, { "cell_type": "markdown", "id": "e57e35e9-1a55-4ef9-8f9a-f9b4026cdd6e", "metadata": {}, "source": [ "## Channel Model" ] }, { "cell_type": "markdown", "id": "77b46a8b-34e3-401a-b3f9-30be78c8aa69", "metadata": {}, "source": [ "The 3GPP 38.901 channel model offers five different delay profiles, called \"CDL-A\", \"CDL-B\", \"CDL-C\", \"CDL-D\", and \"CDL-E\".\n", "The first three model non line-of-sight (NLoS) channels, whereas the last two model line-of-sight (LoS) channels.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.tr38901.CDL.html) for more information." ] }, { "cell_type": "code", "execution_count": 7, "id": "5ec8e16d-2fea-4fdd-bab9-8ba0add92c41", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.261415Z", "iopub.status.busy": "2026-08-06T15:54:28.261281Z", "iopub.status.idle": "2026-08-06T15:54:28.267514Z", "shell.execute_reply": "2026-08-06T15:54:28.266821Z" } }, "outputs": [], "source": [ "DELAY_SPREAD = 100e-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", "\n", "CDL_MODEL = \"C\" # Suitable values are [\"A\", \"B\", \"C\", \"D\", \"E\"]\n", "\n", "SPEED = 10.0 # UT speed [m/s]. BSs are always assumed to be fixed.\n", " # The direction of travel will chosen randomly.\n", "\n", "CDL = sn.phy.channel.tr38901.CDL(CDL_MODEL,\n", " DELAY_SPREAD,\n", " CARRIER_FREQUENCY,\n", " UT_ARRAY,\n", " BS_ARRAY,\n", " DIRECTION,\n", " min_speed=SPEED)" ] }, { "cell_type": "markdown", "id": "ea31c965-feec-4783-8e4a-e78972d2121b", "metadata": {}, "source": [ "The instance `CDL` of the CDL model 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 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": 8, "id": "35c41d1b-61db-4467-bec5-8942da76dc9e", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.269265Z", "iopub.status.busy": "2026-08-06T15:54:28.269145Z", "iopub.status.idle": "2026-08-06T15:54:28.428115Z", "shell.execute_reply": "2026-08-06T15:54:28.427208Z" } }, "outputs": [], "source": [ "BATCH_SIZE = 128 # How many examples are processed by Sionna in parallel\n", "\n", "a, tau = CDL(batch_size=BATCH_SIZE,\n", " num_time_steps=RESOURCE_GRID.num_ofdm_symbols,\n", " sampling_frequency=1/RESOURCE_GRID.ofdm_symbol_duration)" ] }, { "cell_type": "markdown", "id": "bf9ddb50-c1d0-47ca-a0f3-62a5c71ca076", "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": 9, "id": "3f2e9b70-9727-420a-a514-1019b8dbb5b2", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.429952Z", "iopub.status.busy": "2026-08-06T15:54:28.429804Z", "iopub.status.idle": "2026-08-06T15:54:28.433053Z", "shell.execute_reply": "2026-08-06T15:54:28.432322Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of the path gains: torch.Size([128, 1, 4, 1, 1, 24, 14])\n", "Shape of the delays: torch.Size([128, 1, 1, 24])\n" ] } ], "source": [ "print(\"Shape of the path gains: \", a.shape)\n", "print(\"Shape of the delays:\", tau.shape)" ] }, { "cell_type": "markdown", "id": "a4219ae1-3e41-400d-8ec7-6c717f5a5864", "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": 10, "id": "e573ba47-5625-4b69-9411-be2eefe4d0ec", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.434661Z", "iopub.status.busy": "2026-08-06T15:54:28.434544Z", "iopub.status.idle": "2026-08-06T15:54:28.654666Z", "shell.execute_reply": "2026-08-06T15:54:28.653837Z" } }, "outputs": [ { "data": { "image/png": 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", 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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", "plt.figure()\n", "plt.title(\"Time evolution of path gain\")\n", "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.ofdm_symbol_duration/1e-6, np.real(a)[0,0,0,0,0,0,:])\n", "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.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": "ff16a2b5-9464-4dd0-b892-1bf36cdc56df", "metadata": {}, "source": [ "See the notebook [Realistic Multiuser MIMO Simulations](https://nvlabs.github.io/sionna/phy/tutorials/notebooks/Realistic_Multiuser_MIMO_Simulations.html) for more advanced examples." ] }, { "cell_type": "markdown", "id": "eca9e19c-fad2-4e8f-ad04-6c1669a86318", "metadata": {}, "source": [ "## Uplink Transmission in the Frequency Domain" ] }, { "cell_type": "markdown", "id": "3a345cc4-dddf-4340-8a47-2eaff529bc11", "metadata": {}, "source": [ "We are now ready to simulate a transmission.\n", "\n", "In the following, the channel is simulated in the frequency domain. Therefore, the channel is assumed to be constant over the duration of an OFDM symbol, which leads to not simulating the intercarrier interference (ICI) that could occur due to channel aging over the duration of OFDM symbols.\n", "\n", "The `OFDMChannel` layer is used to simulate the channel in the frequency domain and takes care of sampling channel impulse responses, computing the frequency responses, and applying the channel transfer function to the channel inputs (including AWGN).\n", "\n", "Note that it is also possible to simulate the channel in time domain using the `TimeChannel` layer, which enables simulation of ICI.\n", "For more information, please have a look at the API documentation." ] }, { "cell_type": "code", "execution_count": 11, "id": "d0e5af5b-e5b3-47b7-8f44-f11c91b6c7e2", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.656580Z", "iopub.status.busy": "2026-08-06T15:54:28.656446Z", "iopub.status.idle": "2026-08-06T15:54:28.720757Z", "shell.execute_reply": "2026-08-06T15:54:28.720016Z" } }, "outputs": [], "source": [ "NUM_BITS_PER_SYMBOL = 2 # QPSK\n", "CODERATE = 0.5\n", "\n", "# Number of coded bits in a resource grid\n", "n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL)\n", "# Number of information bits in a resource grid\n", "k = int(n*CODERATE)\n", "\n", "# The binary source will create batches of information bits\n", "binary_source = sn.phy.mapping.BinarySource()\n", "\n", "# The encoder maps information bits to coded bits\n", "encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n", "\n", "# The mapper maps blocks of information bits to constellation symbols\n", "mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", "# The resource grid mapper maps symbols onto an OFDM resource grid\n", "rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n", "\n", "# Frequency domain channel\n", "channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n", "\n", "# The LS channel estimator will provide channel estimates and error variances\n", "ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n", "\n", "# The LMMSE equalizer will provide soft symbols together with noise variance estimates\n", "lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n", "\n", "# The demapper produces LLR for all coded bits\n", "demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", "# The decoder provides hard-decisions on the information bits\n", "decoder = sn.phy.fec.ldpc.LDPC5GDecoder(encoder, hard_out=True)" ] }, { "cell_type": "markdown", "id": "81cc8743-85af-4838-8688-729017f59a4b", "metadata": {}, "source": [ "Let's now simulate the transmission, and look at the shape of the layers outputs at each stage.\n", "\n", "The utility function `ebnodb2no` takes as additional input the resource grid to account for the pilots when computing the noise power spectral density ratio $N_0$ from the energy per bit to noise power spectral density ratio $E_b/N_0$ (in dB)." ] }, { "cell_type": "code", "execution_count": 12, "id": "40b4512d-04f5-4f62-9ad0-19d7c037e81c", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.722890Z", "iopub.status.busy": "2026-08-06T15:54:28.722757Z", "iopub.status.idle": "2026-08-06T15:54:28.881456Z", "shell.execute_reply": "2026-08-06T15:54:28.880594Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of bits: torch.Size([128, 1, 1, 912])\n", "Shape of codewords: torch.Size([128, 1, 1, 1824])\n", "Shape of x: torch.Size([128, 1, 1, 912])\n", "Shape of x_rg: torch.Size([128, 1, 1, 14, 76])\n", "Shape of y_rg: torch.Size([128, 1, 4, 14, 76])\n", "Shape of h_freq: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of h_hat: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of err_var: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of x_hat: torch.Size([128, 1, 1, 912])\n", "Shape of no_eff: torch.Size([128, 1, 1, 912])\n", "Shape of llr: torch.Size([128, 1, 1, 1824])\n", "Shape of bits_hat: torch.Size([128, 1, 1, 912])\n" ] } ], "source": [ "no = sn.phy.utils.ebnodb2no(ebno_db=10.0,\n", " num_bits_per_symbol=NUM_BITS_PER_SYMBOL,\n", " coderate=CODERATE,\n", " resource_grid=RESOURCE_GRID)\n", "\n", "# Transmitter\n", "bits = binary_source([BATCH_SIZE, NUM_UT, RESOURCE_GRID.num_streams_per_tx, k])\n", "print(\"Shape of bits: \", bits.shape)\n", "codewords = encoder(bits)\n", "print(\"Shape of codewords: \", codewords.shape)\n", "x = mapper(codewords)\n", "print(\"Shape of x: \", x.shape)\n", "x_rg = rg_mapper(x)\n", "print(\"Shape of x_rg: \", x_rg.shape)\n", "\n", "# Channel\n", "y, h_freq = channel(x_rg, no)\n", "print(\"Shape of y_rg: \", y.shape)\n", "print(\"Shape of h_freq: \", h_freq.shape)\n", "\n", "# Receiver\n", "h_hat, err_var = ls_est (y, no)\n", "print(\"Shape of h_hat: \", h_hat.shape)\n", "print(\"Shape of err_var: \", err_var.shape)\n", "x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n", "print(\"Shape of x_hat: \", x_hat.shape)\n", "print(\"Shape of no_eff: \", no_eff.shape)\n", "llr = demapper(x_hat, no_eff)\n", "print(\"Shape of llr: \", llr.shape)\n", "bits_hat = decoder(llr)\n", "print(\"Shape of bits_hat: \", bits_hat.shape)" ] }, { "cell_type": "markdown", "id": "5f6019b5-3f01-4dd9-a76a-9ec4ff5d6bd9", "metadata": {}, "source": [ "### Creating an End-to-End System\n", "\n", "We can now combine all of the above components into a single `Block` that implements a complete transmission chain.\n", "In Sionna, the `Block` class is the fundamental building block for creating differentiable communication systems.\n", "It inherits from `torch.nn.Module` and provides additional functionality for managing device placement, precision,\n", "and random number generation." ] }, { "cell_type": "code", "execution_count": 13, "id": "f7048ecb-3eef-4dab-8a45-8943f60df7b6", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.883392Z", "iopub.status.busy": "2026-08-06T15:54:28.883258Z", "iopub.status.idle": "2026-08-06T15:54:28.888651Z", "shell.execute_reply": "2026-08-06T15:54:28.887981Z" } }, "outputs": [], "source": [ "class OFDMSystem(sn.phy.Block):\n", " \"\"\"\n", " Complete OFDM system for link-level simulations.\n", " \n", " This class encapsulates the entire transmitter-channel-receiver chain\n", " for an OFDM system with LDPC coding over a CDL channel.\n", " \"\"\"\n", "\n", " def __init__(self, perfect_csi):\n", " super().__init__()\n", "\n", " self.perfect_csi = perfect_csi\n", "\n", " n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL) # Number of coded bits\n", " k = int(n*CODERATE) # Number of information bits\n", " self.k = k\n", "\n", " # The binary source will create batches of information bits\n", " self.binary_source = sn.phy.mapping.BinarySource()\n", "\n", " # The encoder maps information bits to coded bits\n", " self.encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n", "\n", " # The mapper maps blocks of information bits to constellation symbols\n", " self.mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", " # The resource grid mapper maps symbols onto an OFDM resource grid\n", " self.rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n", "\n", " # Frequency domain channel\n", " self.channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n", "\n", " # The LS channel estimator will provide channel estimates and error variances\n", " self.ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n", "\n", " # The LMMSE equalizer will provide soft symbols together with noise variance estimates\n", " self.lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n", "\n", " # The demapper produces LLR for all coded bits\n", " self.demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", " # The decoder provides hard-decisions on the information bits\n", " self.decoder = sn.phy.fec.ldpc.LDPC5GDecoder(self.encoder, hard_out=True)\n", "\n", " def call(self, batch_size, ebno_db):\n", " \"\"\"Forward pass through the OFDM system.\"\"\"\n", " no = sn.phy.utils.ebnodb2no(ebno_db, num_bits_per_symbol=NUM_BITS_PER_SYMBOL, coderate=CODERATE, resource_grid=RESOURCE_GRID)\n", "\n", " # Transmitter\n", " bits = self.binary_source([batch_size, NUM_UT, RESOURCE_GRID.num_streams_per_tx, self.k])\n", " codewords = self.encoder(bits)\n", " x = self.mapper(codewords)\n", " x_rg = self.rg_mapper(x)\n", "\n", " # Channel\n", " y, h_freq = self.channel(x_rg, no)\n", "\n", " # Receiver\n", " if self.perfect_csi:\n", " h_hat, err_var = h_freq, 0.\n", " else:\n", " h_hat, err_var = self.ls_est(y, no)\n", " x_hat, no_eff = self.lmmse_equ(y, h_hat, err_var, no)\n", " llr = self.demapper(x_hat, no_eff)\n", " bits_hat = self.decoder(llr)\n", "\n", " return bits, bits_hat" ] }, { "cell_type": "markdown", "id": "1a0dd0e7-2bc4-43a5-8ea9-47a3df20a6dd", "metadata": {}, "source": [ "### Running the Simulation\n", "\n", "Now we run BER simulations for both LS channel estimation and perfect CSI.\n", "The `PlotBER` utility makes it easy to run Monte Carlo simulations and plot the results." ] }, { "cell_type": "code", "execution_count": 14, "id": "1a6cd3ac-ea1b-4ec9-8f02-4e8f00b71c59", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T15:54:28.890426Z", "iopub.status.busy": "2026-08-06T15:54:28.890306Z", "iopub.status.idle": "2026-08-06T15:54:41.774720Z", "shell.execute_reply": "2026-08-06T15:54:41.773659Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -8.0 | 4.3139e-01 | 1.0000e+00 | 50359 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -7.421 | 4.2324e-01 | 1.0000e+00 | 49407 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.842 | 4.0933e-01 | 1.0000e+00 | 47783 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.263 | 4.0086e-01 | 1.0000e+00 | 46795 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.684 | 3.8907e-01 | 1.0000e+00 | 45418 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.105 | 3.7682e-01 | 1.0000e+00 | 43989 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -4.526 | 3.6301e-01 | 1.0000e+00 | 42376 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -3.947 | 3.4399e-01 | 1.0000e+00 | 40156 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -3.368 | 3.2840e-01 | 1.0000e+00 | 38336 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -2.789 | 3.0935e-01 | 1.0000e+00 | 36112 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -2.211 | 2.9156e-01 | 1.0000e+00 | 34036 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -1.632 | 2.6836e-01 | 1.0000e+00 | 31327 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -1.053 | 2.4087e-01 | 1.0000e+00 | 28118 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -0.474 | 2.0581e-01 | 1.0000e+00 | 24025 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " 0.105 | 1.4742e-01 | 9.8438e-01 | 17209 | 116736 | 126 | 128 | 0.0 |reached target block errors\n", " 0.684 | 3.0667e-02 | 4.5703e-01 | 7160 | 233472 | 117 | 256 | 0.1 |reached target block errors\n", " 1.263 | 4.9474e-04 | 1.1436e-02 | 3985 | 8054784 | 101 | 8832 | 2.3 |reached target block errors\n", " 1.842 | 0.0000e+00 | 0.0000e+00 | 0 | 11673600 | 0 | 12800 | 3.3 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 1.8 dB.\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -8.0 | 2.8008e-01 | 1.0000e+00 | 32695 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -7.421 | 2.6489e-01 | 1.0000e+00 | 30922 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.842 | 2.4529e-01 | 1.0000e+00 | 28634 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.263 | 2.2991e-01 | 1.0000e+00 | 26839 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.684 | 2.0068e-01 | 1.0000e+00 | 23426 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.105 | 1.7203e-01 | 1.0000e+00 | 20082 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -4.526 | 9.9061e-02 | 1.0000e+00 | 11564 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -3.947 | 1.3521e-02 | 3.5417e-01 | 4735 | 350208 | 136 | 384 | 0.1 |reached target block errors\n", " -3.368 | 1.6632e-04 | 8.7781e-03 | 1728 | 10389504 | 100 | 11392 | 2.9 |reached target block errors\n", " -2.789 | 0.0000e+00 | 0.0000e+00 | 0 | 11673600 | 0 | 12800 | 3.2 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = -2.8 dB.\n", "\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "EBN0_DB_MIN = -8.0 # Minimum value of Eb/N0 [dB] for simulations\n", "EBN0_DB_MAX = 3.0 # Maximum value of Eb/N0 [dB] for simulations\n", "\n", "ber_plots = sn.phy.utils.PlotBER(\"OFDM over 3GPP CDL\")\n", "\n", "model_ls = OFDMSystem(False)\n", "ber_plots.simulate(model_ls,\n", " ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n", " batch_size=BATCH_SIZE,\n", " num_target_block_errors=100, # simulate until 100 block errors occurred\n", " legend=\"LS Estimation\",\n", " soft_estimates=True,\n", " max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n", " verbose=True,\n", " show_fig=False);\n", "\n", "model_pcsi = OFDMSystem(True)\n", "ber_plots.simulate(model_pcsi,\n", " ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n", " batch_size=BATCH_SIZE,\n", " num_target_block_errors=100, # simulate until 100 block errors occurred\n", " legend=\"Perfect CSI\",\n", " soft_estimates=True,\n", " max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n", " verbose=True,\n", " show_fig=False);\n", "\n", "ber_plots();" ] } ], "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": 5 }