{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hexagonal Grid Topology\n", "\n", "In this notebook, we illustrate how to build a multicell topology for\n", "system-level simulation purposes and compute the SINR distribution across the users.\n", "\n", "More specifically, we show how to:\n", "- Place base stations on a hexagonal grid\n", " under the wraparound principle to reduce boundary effects;\n", "- Ensure that the topology generation is 3GPP compliant;\n", "- Drop users uniformly in each sector;\n", "- Compute post-equalization signal-to-interference-plus-noise ratio\n", " (SINR) for a given set of channel matrices.\n" ] }, { "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": "2026-08-06T22:13:57.223124Z", "iopub.status.busy": "2026-08-06T22:13:57.223008Z", "iopub.status.idle": "2026-08-06T22:13:58.429516Z", "shell.execute_reply": "2026-08-06T22:13:58.428440Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna\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" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:13:58.431832Z", "iopub.status.busy": "2026-08-06T22:13:58.431631Z", "iopub.status.idle": "2026-08-06T22:14:00.363728Z", "shell.execute_reply": "2026-08-06T22:14:00.362711Z" } }, "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 flatten_dims, sample_bernoulli\n", "from sionna.phy.utils import dbm_to_watt\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.channel import GenerateOFDMChannel\n", "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, EyePrecodedChannel, LMMSEPostEqualizationSINR\n", "from sionna.phy.channel.tr38901 import UMi, UMa, RMa, PanelArray\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.sys import HexGrid, gen_hexgrid_topology\n", "from sionna.sys.utils import spread_across_subcarriers\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 = 45" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a multicell topology\n", "\n", "In system-level simulations with\n", "3GPP channel modeling, it is customary to place cells uniformly in space\n", "on a so-called [*spiral hexagonal grid*](https://nvlabs.github.io/sionna/sys/api/sionna.sys.HexGrid.html).\n", "\n", "The main parameters defining the hexagonal grid are:\n", "- Inter-site distance, determining the distance between any two adjacent\n", " hexagonal cell centers;\n", "- Number of rings of the grid, typically 1 or 2 (corresponding to 7 and 19\n", " hexagons, respectively)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:00.365801Z", "iopub.status.busy": "2026-08-06T22:14:00.365506Z", "iopub.status.idle": "2026-08-06T22:14:00.813827Z", "shell.execute_reply": "2026-08-06T22:14:00.812921Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cell center locations (X,Y,Z) [m]:\n", "[[ 0. 0. 10. ]\n", " [ -86.60254 50. 10. ]\n", " [ 0. 100. 10. ]\n", " [ 86.60254 50. 10. ]\n", " [ 86.60254 -50. 10. ]\n", " [ 0. -100. 10. ]\n", " [ -86.60254 -50. 10. ]]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Inter-site distance, i.e.,\n", "# distance between the centers of two adjacent hexagons\n", "isd = 100 # [m]\n", "\n", "# Number of rings (typically, 1 or 2)\n", "num_rings = 1\n", "\n", "# Cell height\n", "cell_height = 10 # [m]\n", "\n", "grid = HexGrid(isd=isd,\n", " num_rings=num_rings,\n", " cell_height=cell_height)\n", "\n", "print(f'Cell center locations (X,Y,Z) [m]:\\n{grid.cell_loc.cpu().numpy()}')\n", "fig = grid.show(show_sectors=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each hexagonal cell is divided into three sectors, as indicated in the figure. \n", "When we will place base stations, each of them will serve a specific sector." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Drop users\n", "\n", "After defining the hexagonal grid, we distribute users uniformly at random within\n", "each sector. \n", "\n", "We can control the number of users per sector, their minimum and maximum\n", "distance from the nearest cell center, and their height. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:00.852718Z", "iopub.status.busy": "2026-08-06T22:14:00.852573Z", "iopub.status.idle": "2026-08-06T22:14:01.109801Z", "shell.execute_reply": "2026-08-06T22:14:01.108888Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ut_loc.shape = torch.Size([1, 7, 3, 5, 3])\n", "mirrors_per_ut_loc.shape = torch.Size([1, 7, 3, 5, 7, 3])\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "batch_size = 1\n", "\n", "# N. users per sector\n", "num_ut_per_sector = 5\n", "\n", "# Min/max distance between a user and the nearest cell center\n", "min_bs_ut_dist = 0\n", "max_bs_ut_dist = None # If None, users can be anywhere in the sector\n", "\n", "# Min/max user height\n", "min_ut_height = 1.5\n", "max_ut_height = 2\n", "\n", "# Drop users uniformly within each sector\n", "ut_loc, mirrors_per_ut_loc, wraparound_dist = \\\n", " grid(batch_size,\n", " num_ut_per_sector,\n", " min_bs_ut_dist,\n", " max_bs_ut_dist=max_bs_ut_dist,\n", " min_ut_height=min_ut_height,\n", " max_ut_height=max_ut_height)\n", "\n", "print(f'{ut_loc.shape = }')\n", "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, 3]\n", "\n", "print(f'{mirrors_per_ut_loc.shape = }')\n", "# [batch_size, num_cells, num_sectors=3, num_ut_per_sector, num_cells, 3]\n", "\n", "ut_loc = flatten_dims(ut_loc, num_dims=3, axis=1)\n", "\n", "fig = grid.show()\n", "ax = fig.get_axes()[0]\n", "ax.plot(ut_loc[0, :, 0].cpu(), ut_loc[0, :, 1].cpu(), 'xk', label='UT')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wraparound distance\n", "\n", "Regardless of the grid size, the users at the edge of the grid experience\n", "reduced interference. \n", "\n", "To eliminate border effects, the *wraparound* technique is commonly used. It involves:\n", "\n", "- Creating 6 virtual copies of the \"base\" grid, called \"mirrors\", around the\n", " base grid;\n", "- Artificially translating, for each user, the position of a cell to\n", " the closest corresponding \"mirror\" image in a neighboring hexagon.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.111884Z", "iopub.status.busy": "2026-08-06T22:14:01.111738Z", "iopub.status.idle": "2026-08-06T22:14:01.525646Z", "shell.execute_reply": "2026-08-06T22:14:01.524797Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = grid.show(show_mirrors=True)\n", "ax = fig.gca()\n", "\n", "batch = 0\n", "ut = 30\n", "\n", "# Plot mirror cells\n", "ax.plot(*ut_loc[batch, ut, :2].cpu(), 'xk',\n", " markersize=8, markeredgewidth=2, label='user')\n", "\n", "mirrors_per_ut_loc = flatten_dims(mirrors_per_ut_loc, num_dims=3, axis=1)\n", "mirrors_per_ut_xy_loc = mirrors_per_ut_loc[batch, ut, :, :2].cpu()\n", "for cell in range(mirrors_per_ut_xy_loc.shape[0]):\n", " # Show the cell ID\n", " ax.text(*mirrors_per_ut_xy_loc[cell, :2], str(cell))\n", "\n", " # Show the translation (if any) from base to mirror cell\n", " if np.linalg.norm(grid.cell_loc[cell, :2].cpu() - mirrors_per_ut_xy_loc[cell, :2]) > .1:\n", " ax.arrow(*grid.cell_loc[cell, :2].cpu(),\n", " *(mirrors_per_ut_xy_loc[cell, :2] - grid.cell_loc[cell, :2].cpu()),\n", " head_length=20,\n", " head_width=20,\n", " length_includes_head=True,\n", " fc='black')\n", "\n", "ax.set_title('Wraparound principle')\n", "ax.legend()\n", "\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the figure above, the arrows denote the translation (if any) of \"base\" cells to the artificial,\n", "\"mirror\" ones. \n", "\n", "One can modify the user index `ut` to assess how different user positions\n", "correspond to different wraparound configurations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up a 3GPP multicell scenario\n", "\n", "We can use the function [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/sionna.sys.gen_hexgrid_topology.html) to place\n", "three base stations at the center of each hexagon, each serving\n", "a sector that covers a 120-degree angle, and drop users across all sectors. \n", "The inter-site distance, as well as user parameters such as position,\n", "orientation, velocity, and indoor state are set according to a 3GPP-compliant\n", "scenario. \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.527759Z", "iopub.status.busy": "2026-08-06T22:14:01.527618Z", "iopub.status.idle": "2026-08-06T22:14:01.538489Z", "shell.execute_reply": "2026-08-06T22:14:01.537717Z" } }, "outputs": [], "source": [ "scenario = 'umi' # 'umi, 'uma', or 'rma'\n", "\n", "# Generate the spiral hexagonal grid topology\n", "topology = gen_hexgrid_topology(batch_size=batch_size,\n", " num_rings=num_rings,\n", " num_ut_per_sector=num_ut_per_sector,\n", " min_bs_ut_dist=min_bs_ut_dist,\n", " max_bs_ut_dist=max_bs_ut_dist,\n", " scenario=scenario,\n", " los=True)\n", "\n", "ut_loc, bs_loc, ut_orientations, bs_orientations, \\\n", " ut_velocities, in_state, los, bs_virtual_loc = topology\n", "\n", "num_bs = bs_loc.shape[1]\n", "num_ut = ut_loc.shape[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Per-stream SINR computation\n", "\n", "We next illustrate the functionality enabling the computation of the per-stream,\n", "[post-equalization signal-to-interference-plus-noise ratio (SINR)](https://nvlabs.github.io/sionna/phy/api/ofdm/sionna.phy.ofdm.PostEqualizationSINR.html).\n", "\n", "It is assumed that \n", "- Linear precoding is used at the transmitter;\n", "- Linear equalization is used at the receiver;\n", "- The receiver (but not necessarily the transmitter) has perfect knowledge of\n", " the equalized channel.\n", "\n", "The knowledge of the SINR is useful for two main reasons:\n", "- SINR enables the computation of Shannon capacity, for a rapid evaluation of the\n", " network's performance;\n", "- SINR is used by the PHY abstraction module to bypass physical layer\n", " computations, as we will see later on.\n", "\n", "We will compute the SINR in a multi-cell MIMO scenario with 3GPP-compliant\n", "stochastic channel models and OFDM waveforms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation parameters" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.540720Z", "iopub.status.busy": "2026-08-06T22:14:01.540589Z", "iopub.status.idle": "2026-08-06T22:14:01.543996Z", "shell.execute_reply": "2026-08-06T22:14:01.543183Z" } }, "outputs": [], "source": [ "carrier_frequency = 3.5e9 # [Hz]\n", "\n", "# Time/frequency resource grid\n", "# N. OFDM symbols in a slot\n", "num_ofdm_sym = 10\n", "sampling_frequency = 1e-3 / num_ofdm_sym\n", "num_subcarriers = 32\n", "subcarrier_spacing = 15e3 # [Hz]\n", "\n", "# Base station and user terminal transmit power\n", "bs_power_dbm = 56 # [dBm]\n", "ut_power_dbm = 13 # [dBm]\n", "\n", "direction = 'uplink' # 'downlink' or 'uplink'\n", "\n", "# Environment temperature\n", "temperature = 294 # [K]\n", "\n", "# 3GPP scenario parameters\n", "# Outdoor-to-indoor pathloss model\n", "o2i_model = 'low' # 'low' or 'high'\n", "# Parameters pnly relevant for RMa\n", "average_street_width = 20.\n", "average_building_height = 10.\n", "\n", "assert direction in ['uplink', 'downlink']\n", "assert o2i_model in ['low', 'high']" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.546065Z", "iopub.status.busy": "2026-08-06T22:14:01.545933Z", "iopub.status.idle": "2026-08-06T22:14:01.549280Z", "shell.execute_reply": "2026-08-06T22:14:01.548427Z" } }, "outputs": [], "source": [ "if direction == 'downlink':\n", " num_rx, num_tx = num_ut, num_bs\n", "else:\n", " num_rx, num_tx = num_bs, num_ut\n", "\n", "# Convert power to W\n", "ut_power = dbm_to_watt(ut_power_dbm) # [W]\n", "bs_power = dbm_to_watt(bs_power_dbm) # [W]\n", "\n", "# Noise power per subcarrier\n", "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set the antenna patterns\n", "\n", "We set the antenna patterns for base stations and user terminals.\n", "\n", "Note that the base stations must have a sufficient number of antennas to serve\n", "all connected users simultaneously." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.551679Z", "iopub.status.busy": "2026-08-06T22:14:01.551538Z", "iopub.status.idle": "2026-08-06T22:14:01.556204Z", "shell.execute_reply": "2026-08-06T22:14:01.555308Z" } }, "outputs": [], "source": [ "# Create antenna arrays\n", "bs_array = PanelArray(num_rows_per_panel=3,\n", " num_cols_per_panel=2,\n", " polarization='dual',\n", " polarization_type='VH',\n", " antenna_pattern='38.901',\n", " carrier_frequency=carrier_frequency)\n", "\n", "ut_array = PanelArray(num_rows_per_panel=1,\n", " num_cols_per_panel=1,\n", " polarization='dual',\n", " polarization_type='VH',\n", " antenna_pattern='omni',\n", " carrier_frequency=carrier_frequency)\n", "\n", "num_ut_ant = ut_array.num_ant\n", "num_bs_ant = bs_array.num_ant" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create a 3GPP channel model\n", "\n", "Creating a 3GPP-compliant channel model can be done easily via [Sionna PHY's\n", "integrated\n", "models](https://nvlabs.github.io/sionna/phy/api/channel/wireless/3gpp.html). \n", "We can choose from Urban Micro-cell (UMi), Urban Macro-cell (UMa), and Rural\n", "Macro-cell (RMa)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.558278Z", "iopub.status.busy": "2026-08-06T22:14:01.558150Z", "iopub.status.idle": "2026-08-06T22:14:01.578385Z", "shell.execute_reply": "2026-08-06T22:14:01.577458Z" } }, "outputs": [], "source": [ "# Create channel model\n", "if scenario == 'umi': # Urban micro-cell\n", " channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model=o2i_model,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "elif scenario == 'uma': # Urban macro-cell\n", " channel_model = UMa(carrier_frequency=carrier_frequency,\n", " o2i_model=o2i_model,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "elif scenario == 'rma': # Rural macro-cell\n", " channel_model = RMa(carrier_frequency=carrier_frequency,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " average_street_width=average_street_width,\n", " average_building_height=average_building_height,\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now apply the multicell topology to the specified channel model." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:01.580449Z", "iopub.status.busy": "2026-08-06T22:14:01.580307Z", "iopub.status.idle": "2026-08-06T22:14:02.991336Z", "shell.execute_reply": "2026-08-06T22:14:02.990307Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "channel_model.set_topology(*topology)\n", "channel_model.show_topology()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate OFDM channel matrices\n", "\n", "After creating the channel model, we will\n", "- Generate the channel impulse response (CIR) for each pair of transmit and\n", " receive antennas;\n", "- Convert the CIRs to OFDM channel matrices, for each transmitter/receiver pair.\n", "\n", "These two steps are handled by the [GenerateOFDMChannel](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.GenerateOFDMChannel.html) object." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:02.993392Z", "iopub.status.busy": "2026-08-06T22:14:02.993248Z", "iopub.status.idle": "2026-08-06T22:14:03.120539Z", "shell.execute_reply": "2026-08-06T22:14:03.119555Z" } }, "outputs": [], "source": [ "# Set n. streams per user = n. antennas\n", "num_streams_per_ut = num_ut_ant\n", "\n", "# Set up the OFDM resource grid\n", "resource_grid = ResourceGrid(num_ofdm_symbols=num_ofdm_sym,\n", " fft_size=num_subcarriers,\n", " subcarrier_spacing=subcarrier_spacing,\n", " num_tx=num_ut_per_sector,\n", " num_streams_per_tx=num_streams_per_ut)\n", "\n", "# Instantiate the OFDM channel generator\n", "ofdm_channel = GenerateOFDMChannel(channel_model, resource_grid)\n", "\n", "# Generate the OFDM channel matrix\n", "# [batch_size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq = ofdm_channel(batch_size)\n", "\n", "assert num_streams_per_ut <= num_ut_ant, \\\n", " \"The # of streams per user must not exceed the # of its antennas\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stream management\n", "\n", "We now associate each receiver to the corresponding serving transmitter, via a\n", "[StreamManagement](https://nvlabs.github.io/sionna/phy/api/mimo/stream_management.html) object." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:03.122746Z", "iopub.status.busy": "2026-08-06T22:14:03.122601Z", "iopub.status.idle": "2026-08-06T22:14:03.130774Z", "shell.execute_reply": "2026-08-06T22:14:03.130063Z" } }, "outputs": [], "source": [ "# For simplicity, each user is served by its closest base station\n", "if direction == 'downlink':\n", " num_streams_per_tx = num_streams_per_ut * num_ut_per_sector\n", " # RX-TX association matrix\n", " rx_tx_association = np.zeros([num_rx, num_tx])\n", " idx = np.array([[i1, i2] for i2 in range(num_tx) for i1 in\n", " np.arange(i2*num_ut_per_sector, (i2+1)*num_ut_per_sector)])\n", " rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n", "else:\n", " num_streams_per_tx = num_streams_per_ut\n", " # RX-TX association matrix\n", " rx_tx_association = np.zeros([num_rx, num_tx])\n", " idx = np.array([[i1, i2] for i1 in range(num_rx) for i2 in\n", " np.arange(i1*num_ut_per_sector, (i1+1)*num_ut_per_sector)])\n", " rx_tx_association[idx[:, 0], idx[:, 1]] = 1\n", "\n", "# Instantiate a Stream Management object\n", "stream_management = StreamManagement(rx_tx_association, num_streams_per_tx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute SINR\n", "\n", "We are finally ready to compute the post-equalization SINR on a per-stream basis. \n", "\n", "Note that the transmitter must allocate powers across streams, a task handled by\n", "the scheduler and power control. \n", "Since these modules are not the focus of this notebook, we assume a\n", "simplified model with uniform power allocation across randomly selected\n", "streams." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:03.133123Z", "iopub.status.busy": "2026-08-06T22:14:03.132990Z", "iopub.status.idle": "2026-08-06T22:14:03.170748Z", "shell.execute_reply": "2026-08-06T22:14:03.169679Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sinr.shape = torch.Size([1, 10, 32, 105, 2])\n" ] } ], "source": [ "# User streams are allocated randomly across subcarriers\n", "# Uniform power allocation\n", "# [batch_size, num_ofdm_sym, num_subcarriers, num_tx, num_streams_per_tx]\n", "is_scheduled = sample_bernoulli([batch_size,\n", " num_ofdm_sym,\n", " num_subcarriers,\n", " num_ut,\n", " num_streams_per_ut],\n", " p=.3)\n", "\n", "tx_power_per_ut = ut_power if direction == 'uplink' else bs_power / num_ut_per_sector\n", "tx_power_per_ut = torch.full([batch_size, num_ofdm_sym, num_ut], tx_power_per_ut,\n", " device=sionna.phy.config.device)\n", "\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]\n", "tx_power = spread_across_subcarriers(tx_power_per_ut,\n", " is_scheduled,\n", " num_tx=num_tx)\n", "\n", "if direction == 'downlink':\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power, alpha=no)\n", "else:\n", " # No precoding in the uplink\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power)\n", "\n", "lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", "\n", "# [batch_size, num_ofdm_symbols, num_subcarriers, num_rx, num_streams_per_rx]\n", "sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", "# [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n", "sinr = torch.reshape(sinr,\n", " sinr.shape[:-2] + (num_bs*num_ut_per_sector, num_streams_per_ut))\n", "print(f'{sinr.shape = }')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is immediate to compute the associated Shannon capacity." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:03.172829Z", "iopub.status.busy": "2026-08-06T22:14:03.172686Z", "iopub.status.idle": "2026-08-06T22:14:03.185707Z", "shell.execute_reply": "2026-08-06T22:14:03.184690Z" } }, "outputs": [], "source": [ "# Compute maximum achievable spectral efficiency (SE) per resource element\n", "# [batch_size, num_ofdm_sym, num_subcarriers, num_ut]\n", "se_shannon = torch.sum(torch.log2(1 + sinr), axis=-1)\n", "\n", "# Average across resource elements for each user\n", "# [batch_size, num_ut]\n", "se_shannon = torch.mean(se_shannon, axis=[-2, -3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now visualize the produced SINR and the spectral efficiency distribution across users." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:03.187863Z", "iopub.status.busy": "2026-08-06T22:14:03.187722Z", "iopub.status.idle": "2026-08-06T22:14:03.364662Z", "shell.execute_reply": "2026-08-06T22:14:03.363522Z" } }, "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 = values.cpu().numpy().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", "# Plot SINR\n", "fig, ax = plt.subplots(1, 2, figsize=(8, 3.5))\n", "\n", "ax[0].plot(*get_cdf(10*torch.log10(sinr[sinr > 0])))\n", "ax[0].set_xlabel('SINR [dB]')\n", "ax[0].set_ylabel('Cumulative density function')\n", "ax[0].set_title('SINR across Users and Resource Elements')\n", "ax[0].grid()\n", "\n", "# Plot SE\n", "ax[1].plot(*get_cdf(se_shannon))\n", "ax[1].grid()\n", "ax[1].set_title('Shannon spectral efficiency ')\n", "ax[1].set_ylabel('Cumulative density function')\n", "ax[1].set_xlabel('Spectral Efficiency [bps/Hz]')\n", "fig.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Differentiability\n", "\n", "We finally show that the per-user Shannon capacity is differentiable with\n", "respect to the transmit power. \n", "In fact, this holds for any differentiable function of the SINR." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-08-06T22:14:03.366832Z", "iopub.status.busy": "2026-08-06T22:14:03.366687Z", "iopub.status.idle": "2026-08-06T22:14:03.416580Z", "shell.execute_reply": "2026-08-06T22:14:03.415459Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tx_power_re.shape = torch.Size([1, 105, 2, 10, 32])\n", "d_capacity_d_tx_power.shape = (1, 105, 2, 10, 32)\n" ] } ], "source": [ "# Transmit power value at which the gradient is computed\n", "tx_power_re = torch.ones([batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers],\n", " device=sionna.phy.config.device, requires_grad=True)\n", "\n", "# Forward pass with gradient tracking\n", "if direction == 'downlink':\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power_re, alpha=no)\n", "else:\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", " h_eff = precoded_channel(h_freq, tx_power=tx_power_re)\n", "\n", "lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management)\n", "\n", "# [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_rx, num_streams_per_rx]\n", "sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", "\n", "# Per-stream Shannon capacity\n", "capacity_re = torch.log2(1 + sinr)\n", "\n", "# Average capacity across users and resources\n", "capacity_re_avg = torch.mean(capacity_re)\n", "\n", "print(f'{tx_power_re.shape = }')\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]\n", "\n", "# Compute Gradient d(capacity_re_avg)/d(tx_power_i), for all i\n", "capacity_re_avg.backward()\n", "d_capacity_d_tx_power = tx_power_re.grad.cpu().numpy()\n", "\n", "print(f'{d_capacity_d_tx_power.shape = }')\n", "# [batch_size, num_tx, num_streams_per_tx, num_ofdm_sym, num_subcarriers]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The [gen_hexgrid_topology](https://nvlabs.github.io/sionna/sys/api/sionna.sys.gen_hexgrid_topology.html) function enables the creation of a 3GPP-compliant\n", "multicell scenario with hexagonal cells arranged on a spiral grid. \n", "To eliminate\n", "border effects at the network edge, the wraparound technique is\n", "applied by assigning each user a set of \"mirror\" base station position.\n", "\n", "Once users are placed in the network, the SINR\n", "and the associated Shannon capacity can be computed, providing an upper bound\n", "for the achievable spectral efficiency. \n", "\n", "Evaluating the *actual* spectral efficiency would ideally require\n", "simulating the entire physical layer (PHY) chain, including\n", "modulation, coding, demodulation, and decoding.\n", "\n", "As a computationally cheaper alternative, one can bypass the PHY chain\n", "via the [PHYAbstraction](https://nvlabs.github.io/sionna/sys/api/abstraction.html) functionality, as shown in the\n", "[physical layer abstraction notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/PHY_Abstraction.html)." ] } ], "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 }