{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Power Control\n", "\n", "This tutorial demonstrates how to allocate transmission power on a per-user\n", "basis in a 3GPP-compliant multicell scenario in the uplink and downlink direction.\n", "- **Uplink**: Implemented by the [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html) function. \n", " This follows the open-loop power allocation procedure in 3GPP TS 38.213 [[1]](#references), where\n", " the transmit power partially compensate for the pathloss by a factor $\\alpha\\in[0;1]$ while\n", " targeting a received power of $P_0$ [dBm];\n", "- **Downlink**: Handled by the [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html) function.\n", " This function maximizes a fairness function of the attainable throughput across the\n", " users on a per-sector basis.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![power_control_notebook.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "\n", "We start by importing Sionna and the relevant external libraries:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:42.956039Z", "iopub.status.busy": "2026-08-07T09:18:42.955931Z", "iopub.status.idle": "2026-08-07T09:18:46.158445Z", "shell.execute_reply": "2026-08-07T09:18:46.157605Z" } }, "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", "import warnings\n", "\n", "warnings.filterwarnings(\n", " \"ignore\",\n", " message=\"Torchinductor does not support code generation for complex operators.*\",\n", ")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.161227Z", "iopub.status.busy": "2026-08-07T09:18:46.160953Z", "iopub.status.idle": "2026-08-07T09:18:46.164495Z", "shell.execute_reply": "2026-08-07T09:18:46.163686Z" } }, "outputs": [], "source": [ "# Additional external libraries\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Sionna components\n", "from sionna.phy.utils import dbm_to_watt, watt_to_dbm\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.channel import GenerateOFDMChannel\n", "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, \\\n", " EyePrecodedChannel, LMMSEPostEqualizationSINR\n", "from sionna.phy.channel.tr38901 import UMi, PanelArray\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.sys import gen_hexgrid_topology, \\\n", " downlink_fair_power_control, open_loop_uplink_power_control\n", "from sionna.sys.utils import spread_across_subcarriers, get_pathloss\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": [ "## Multicell scenario\n", "\n", "We first create a multicell 3GPP-compliant scenario on which power control will\n", "be performed in both the uplink and downlink directions.\n", "\n", "### Simulation Parameters\n", "\n", "We define the main simulation parameters, including the topology settings, OFDM\n", "resource grid, and transmission power for the base stations and user terminal." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.166299Z", "iopub.status.busy": "2026-08-07T09:18:46.166175Z", "iopub.status.idle": "2026-08-07T09:18:46.346541Z", "shell.execute_reply": "2026-08-07T09:18:46.345672Z" } }, "outputs": [], "source": [ "# Number of independent scenarios\n", "batch_size = 1\n", "\n", "# Number of rings of the spiral hexagonal grid\n", "num_rings = 1\n", "\n", "# Number of co-scheduled users per sector\n", "num_ut_per_sector = 5\n", "\n", "# OFDM resource grid\n", "num_ofdm_sym = 10\n", "num_subcarriers = 32\n", "subcarrier_spacing = 15e3 # [Hz]\n", "carrier_frequency = 3.5e9 # [Hz]\n", "\n", "# Base station and user terminal transmit power\n", "bs_max_power_dbm = 46 # [dBm]\n", "ut_max_power_dbm = 26 # [dBm]\n", "\n", "# Convert power to Watts\n", "ut_max_power = dbm_to_watt(ut_max_power_dbm) # [W]\n", "bs_max_power = dbm_to_watt(bs_max_power_dbm) # [W]\n", "\n", "# Environment temperature\n", "temperature = 294 # [K]\n", "# Noise power per subcarrier\n", "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing\n", "\n", "# Max distance between user terminal and serving base station\n", "max_bs_ut_dist = 80 # [m]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Antenna patterns\n", "\n", "We create the antenna patterns for base stations and user terminals." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.348722Z", "iopub.status.busy": "2026-08-07T09:18:46.348579Z", "iopub.status.idle": "2026-08-07T09:18:46.368896Z", "shell.execute_reply": "2026-08-07T09:18:46.368122Z" } }, "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='single',\n", " polarization_type='V',\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": [ "### Topology\n", "\n", "Next, we position base stations on a hexagonal grid according to a\n", "3GPP-compliant scenario and randomly distribute users uniformly in each sector. \n", "\n", "For more details on the generation of the topology, see the [Hexagonal Grid Topology notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/HexagonalGrid.html)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.371403Z", "iopub.status.busy": "2026-08-07T09:18:46.371265Z", "iopub.status.idle": "2026-08-07T09:18:46.558679Z", "shell.execute_reply": "2026-08-07T09:18:46.557751Z" } }, "outputs": [], "source": [ "# 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", " max_bs_ut_dist=max_bs_ut_dist,\n", " scenario='umi')\n", "\n", "ut_loc, bs_loc, *_ = topology\n", "\n", "# N. users and base stations\n", "num_bs = bs_loc.shape[1]\n", "num_ut = ut_loc.shape[1]\n", "\n", "# In the uplink, the user is the transmitter and the base station is the receiver\n", "num_rx, num_tx = num_bs, num_ut" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set and compute the number of streams per user and base station, respectively." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.560855Z", "iopub.status.busy": "2026-08-07T09:18:46.560714Z", "iopub.status.idle": "2026-08-07T09:18:46.563107Z", "shell.execute_reply": "2026-08-07T09:18:46.562593Z" } }, "outputs": [], "source": [ "# Set number of streams per user\n", "num_streams_per_ut = num_ut_ant\n", "\n", "# Number of streams per base station\n", "num_streams_per_bs = num_streams_per_ut * num_ut_per_sector\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": [ "Each receiver is associated with its serving base station." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.565231Z", "iopub.status.busy": "2026-08-07T09:18:46.565103Z", "iopub.status.idle": "2026-08-07T09:18:46.576181Z", "shell.execute_reply": "2026-08-07T09:18:46.575541Z" } }, "outputs": [], "source": [ "# For simplicity, each user is associated with its nearest base station\n", "\n", "# Uplink\n", "# RX-TX association matrix\n", "rx_tx_association_ul = np.zeros([num_rx, num_tx])\n", "idx_fair = 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_ul[idx_fair[:, 0], idx_fair[:, 1]] = 1\n", "\n", "# Instantiate a Stream Management object\n", "stream_management_ul = StreamManagement(rx_tx_association_ul, num_streams_per_ut)\n", "\n", "# Downlink\n", "# Receivers and transmitters are swapped wrt uplink\n", "rx_tx_association_dl = rx_tx_association_ul.T\n", "stream_management_dl = StreamManagement(rx_tx_association_dl, num_streams_per_bs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create the channel model that will be used to generate the channel impulse responses: " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:46.578172Z", "iopub.status.busy": "2026-08-07T09:18:46.578047Z", "iopub.status.idle": "2026-08-07T09:18:47.950283Z", "shell.execute_reply": "2026-08-07T09:18:47.949469Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create channel model\n", "channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model='low', # 'low' or 'high'\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction='uplink',\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "\n", "channel_model.set_topology(*topology)\n", "channel_model.show_topology()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Channel\n", "\n", "Next, the channel frequency response is computed over the OFDM resource grid." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:48.002101Z", "iopub.status.busy": "2026-08-07T09:18:48.001864Z", "iopub.status.idle": "2026-08-07T09:18:48.110341Z", "shell.execute_reply": "2026-08-07T09:18:48.109440Z" } }, "outputs": [], "source": [ "# 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 in the uplink\n", "# [batch_size, num_rx=num_bs, num_rx_ant, num_tx=num_ut, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq_ul = ofdm_channel(batch_size)\n", "\n", "# [batch_size, num_rx=num_ut, num_rx_ant, num_tx=num_bs, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq_dl = torch.permute(h_freq_ul, [0, 3, 4, 1, 2, 5, 6])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We conclude this section by scheduling users for transmission across the\n", "resource grid. \n", "Note that only one slot is simulated. For more realistic simulations, a\n", "scheduler should be used. This is explained in more details in the [Proportional\n", "Fairness Scheduler notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/Scheduling.html)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:48.112218Z", "iopub.status.busy": "2026-08-07T09:18:48.112076Z", "iopub.status.idle": "2026-08-07T09:18:48.116821Z", "shell.execute_reply": "2026-08-07T09:18:48.115798Z" } }, "outputs": [], "source": [ "# For simplicity, all users are allocated simultaneously on all resources\n", "is_scheduled = torch.full([batch_size,\n", " num_bs,\n", " num_ofdm_sym,\n", " num_subcarriers,\n", " num_ut_per_sector,\n", " num_streams_per_ut],\n", " True)\n", "\n", "num_allocated_subcarriers = torch.full([batch_size,\n", " num_bs,\n", " num_ofdm_sym,\n", " num_ut_per_sector],\n", " num_subcarriers)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Uplink power control\n", "\n", "According to the open-loop power control procedure defined in 3GPP TS 38.213\n", "[[1]](#references), the transmit power allocated to a user compensates the pathloss $PL$ from the\n", "serving base station by a factor\n", "$\\alpha\\in[0;1]$ while targeting a received power $P_0$ [dBm]:\n", "\n", "$P^{\\mathrm{UL}} = \\min \\{ P_0 + \\alpha PL + 10 \\log_{10}(\\mathrm{\\#PRB}), P^{\\mathrm{max}}_{\\mathrm{ut}}\\} \\quad \\mathrm{[dBm]}$\n", "\n", "where $P^{\\mathrm{max}}_{\\mathrm{ut}}$ [dBm] is the maximum transmit power for the terminal\n", "and $\\mathrm{\\#PRB}$ is the number of physical resource blocks allocated to the user. \n", "\n", "As a first step, we compute the pathloss for each user:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:48.118163Z", "iopub.status.busy": "2026-08-07T09:18:48.118037Z", "iopub.status.idle": "2026-08-07T09:18:48.131277Z", "shell.execute_reply": "2026-08-07T09:18:48.130724Z" } }, "outputs": [], "source": [ "_, pathloss_serving_cell = get_pathloss(\n", " h_freq_ul,\n", " rx_tx_association=torch.tensor(rx_tx_association_ul, dtype=torch.int32))\n", "\n", "def group_by_bs(tensor):\n", " tensor = torch.reshape(\n", " tensor, [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym])\n", " # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n", " return torch.permute(tensor, [0, 1, 3, 2])\n", "\n", "# Group by base station\n", "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n", "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html) allocates the user power according\n", "to the procedure described above. \n", "We wrap it into an XLA-compiled function that applies power control and computes\n", "the corresponding SINR." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:48.132946Z", "iopub.status.busy": "2026-08-07T09:18:48.132812Z", "iopub.status.idle": "2026-08-07T09:18:48.581846Z", "shell.execute_reply": "2026-08-07T09:18:48.580848Z" } }, "outputs": [], "source": [ "@torch.compile\n", "def get_sinr_uplink(h_freq,\n", " pathloss_serving_cell,\n", " alpha,\n", " p0_dbm,\n", " ut_max_power_dbm,\n", " num_allocated_subcarriers,\n", " is_scheduled):\n", " \"\"\" Compute the uplink SINR \"\"\"\n", "\n", " # Per-user uplink transmit power\n", " # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n", " ul_power_per_ut = open_loop_uplink_power_control(\n", " pathloss_serving_cell,\n", " num_allocated_subcarriers,\n", " alpha=alpha,\n", " p0_dbm=p0_dbm,\n", " ut_max_power_dbm=ut_max_power_dbm)\n", "\n", " # Spread power uniformly across subcarriers\n", " # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym,\n", " # num_subcarriers]\n", " ul_power = spread_across_subcarriers(\n", " ul_power_per_ut,\n", " is_scheduled,\n", " num_tx=num_ut_per_sector)\n", "\n", " ul_power = torch.reshape(ul_power,\n", " [batch_size, num_ut, num_streams_per_ut,\n", " num_ofdm_sym, num_subcarriers])\n", "\n", " # Compute SINR\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management_ul)\n", " h_eff = precoded_channel(h_freq, tx_power=ul_power)\n", " lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management_ul)\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", " # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut, num_streams_per_ut]\n", " sinr = torch.reshape(sinr, sinr.shape[:-2] + (num_ut, num_streams_per_ut))\n", " return sinr, ul_power_per_ut\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impact of parameters on system performance\n", "\n", "It is interesting to assess the impact of the two key uplink power design\n", "parameters ($\\alpha$ for pathloss \n", "compensation and $P_0$ for target received power) on system performance. \n", "To this aim, we first compute the spectral efficiency distribution as $\\alpha$ and $P_0$ vary.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:48.584720Z", "iopub.status.busy": "2026-08-07T09:18:48.584420Z", "iopub.status.idle": "2026-08-07T09:18:59.307189Z", "shell.execute_reply": "2026-08-07T09:18:59.306099Z" } }, "outputs": [], "source": [ "def get_se(sinr):\n", " \"\"\" Compute the spectral efficiency \"\"\"\n", " se_per_ut = torch.sum(torch.log2(1 + sinr), axis=[4])\n", " # Average across OFDM symbols and subcarriers\n", " return torch.mean(se_per_ut, axis=[1, 2])\n", "\n", "\n", "# Values of (alpha, P0) to evaluate\n", "alpha_vec = np.linspace(.5, 1, 50)\n", "p0_dbm_vec = np.arange(-110, -69, 1)\n", "\n", "# Per-user spectral efficiency per user across (alpha, P0) values\n", "se_per_ut_ul_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n", "ul_power_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n", "\n", "# Compute the spectral efficiency for each (alpha, P0) pair\n", "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n", " for idx_alpha, alpha in enumerate(alpha_vec):\n", " # Compute SINR and UL power distribution\n", " # sinr: [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut,\n", " # num_streams_per_ut]\n", " # ul_power_per_ut: # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n", " sinr, ul_power_per_ut = get_sinr_uplink(\n", " h_freq_ul,\n", " pathloss_serving_cell,\n", " alpha,\n", " p0_dbm,\n", " ut_max_power_dbm,\n", " num_allocated_subcarriers,\n", " is_scheduled)\n", "\n", " # Compute the spectral efficiency\n", " se_per_ut_ul_mat[idx_p0, idx_alpha, :] = get_se(sinr).cpu().numpy().flatten()\n", " # Power allocation\n", " ul_power_mat[idx_p0, idx_alpha, :] = ul_power_per_ut.cpu().numpy().mean(axis=2).flatten()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To illustrate the impact of the design parameters $(\\alpha, P_0)$ on network\n", "performance, we evaluate the $x$-th percentile of the spectral efficiency distribution\n", "across users, that we want to maximize as a function of $(\\alpha, P_0)$. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:59.310083Z", "iopub.status.busy": "2026-08-07T09:18:59.309938Z", "iopub.status.idle": "2026-08-07T09:18:59.668433Z", "shell.execute_reply": "2026-08-07T09:18:59.667438Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xth_percentile = 10\n", "metric_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec)])\n", "\n", "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n", " for idx_alpha, alpha in enumerate(alpha_vec):\n", " metric_mat[idx_p0, idx_alpha] = np.nanpercentile(\n", " se_per_ut_ul_mat[idx_p0, idx_alpha, :], xth_percentile)\n", "\n", "plt.figure(figsize=(8, 6))\n", "plt.imshow(metric_mat, aspect='auto')\n", "plt.colorbar()\n", "plt.ylabel(r'Target received power $P_0$ [dBm]')\n", "plt.xlabel(r'Pathloss compensation factor $\\alpha$')\n", "plt.title(f'{xth_percentile}-th percentile of user spectral efficiency [bps/Hz]')\n", "plt.yticks(np.arange(len(p0_dbm_vec)), p0_dbm_vec)\n", "plt.gca().invert_yaxis()\n", "show_every = 3\n", "plt.xticks(np.arange(0, len(alpha_vec), show_every), \n", " [f'{alpha_vec[i]:.2f}' for i in range(0, len(alpha_vec), show_every)], rotation=45)\n", "plt.yticks(np.arange(0, len(p0_dbm_vec), show_every), \n", " [p0_dbm_vec[i] for i in range(0, len(p0_dbm_vec), show_every)], rotation=45)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result above arises from the fact that increasing either $\\alpha$ or $P_0$\n", "raises the intended received power at the base station, but also amplifies the\n", "interference to neighboring cells. \n", "Hence, a trade-off between these two\n", "parameters is necessary to optimize system performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also interesting to evaluate the distribution of the power allocation\n", "across users." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:59.670918Z", "iopub.status.busy": "2026-08-07T09:18:59.670769Z", "iopub.status.idle": "2026-08-07T09:18:59.792168Z", "shell.execute_reply": "2026-08-07T09:18:59.791299Z" } }, "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\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", "alpha_po_vec = [(.9, -100), (1., -100), (.9, -80)]\n", "\n", "fig, ax = plt.subplots()\n", "for alpha, po in alpha_po_vec:\n", " idx_p0, idx_alpha = np.argmin(np.abs(p0_dbm_vec - po)), np.argmin(np.abs(alpha_vec - alpha))\n", " ax.plot(*get_cdf(ul_power_mat[idx_p0, idx_alpha, :]*1e3), \n", " label=fr'$\\alpha=${alpha_vec[idx_alpha]:.2f}, $P_0$={p0_dbm_vec[idx_p0]}')\n", "\n", "ax.plot([(dbm_to_watt(ut_max_power_dbm)*1e3).cpu().item()]*2, [0, 1], 'k--', label='max UT power')\n", "ax.set_xlabel('Per-user uplink transmit power [mW]')\n", "ax.set_ylabel('CDF')\n", "ax.legend()\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, an increase of either the pathloss compensation factor $\\alpha$ or the target received\n", "power $P_0$ leads to a higher power allocation, which eventually saturates at\n", "the maximum transmit power for the user terminal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Downlink power control\n", "\n", "In the downlink, the base station distributes the per-resource transmit power\n", "$p_u$ across different users $u=1,\\dots,P$.\n", "\n", "The function [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html) maximizes a fairness\n", "function $g^{(f)}$ defined as in [[2]](#references) of the maximum attainable throughput:\n", "$$\n", "\\mathbf{p}^* = \\operatorname{argmax}_{\\mathbf{p}} \\, \\sum_{u=1}^{U} g^{(f)}\n", "\\big( r_u \\log( 1 + p_u q_u) \\big)\n", "$$\n", "\n", "where $q_u$ is a measure of the channel quality for user $u$ and $r_u$ is the\n", "number of allocated resources for $u$.\n", "\n", "The base station transmit power must not exceed $P^{\\mathrm{max}}_{\\mathrm{bs}}$:\n", "$$\n", "\\sum_{u=1}^U r_u p_u = P^{\\mathrm{max}}_{\\mathrm{bs}}\n", "$$\n", "\n", "Moreover, to ensure that all scheduled users obtain a positive throughput, we can impose a lower bound on the individual allocated powers:\n", "$$\n", "r_u p_u \\ge \\rho \\frac{P^{\\mathrm{max}}_{\\mathrm{bs}}}{U} , \\quad \\forall \\, u=1,\\dots,U\n", "$$\n", "where $0\\le \\rho \\le 1$. Note that if $\\rho=1$, then all users obtain the same\n", "power allocation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To estimate the channel quality for each user, we compute the pathloss from the\n", "serving cell and the interference from all neighboring cells." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:59.794455Z", "iopub.status.busy": "2026-08-07T09:18:59.794316Z", "iopub.status.idle": "2026-08-07T09:18:59.798887Z", "shell.execute_reply": "2026-08-07T09:18:59.798141Z" } }, "outputs": [], "source": [ "# Pathloss\n", "# [batch_size, num_ut, num_bs, num_ofdm_symbols], [batch_size, num_ut, num_ofdm_symbols]\n", "pathloss_all_pairs, pathloss_serving_cell = get_pathloss(\n", " h_freq_dl,\n", " rx_tx_association=torch.tensor(rx_tx_association_dl, dtype=torch.int32))\n", "\n", "# Interference from all base stations\n", "# [batch_size, num_ut, num_ofdm_symbols]\n", "one = torch.tensor(1, dtype=pathloss_serving_cell.dtype)\n", "interference_dl = torch.sum(\n", " one / pathloss_all_pairs, axis=-2) - one / pathloss_serving_cell\n", "interference_dl *= bs_max_power\n", "\n", "# Group by base station\n", "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n", "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)\n", "interference_dl = group_by_bs(interference_dl)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impact of parameters on system performance\n", "\n", "The downlink power allocation procedure in [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html)\n", "is governed by two parameters:\n", "- the fairness parameter $f$, defined as in [[2]](#references). \n", " If $f=0$, then the sum of throughput is\n", " maximized, favoring users with good channel conditions while potentially\n", " leaving those in poor conditions without power. \n", " As $f$ increases, the allocation becomes more egalitarian across users;\n", "- the guaranteed power ratio $\\rho$, which defines the minimum power allocation\n", " per user.\n", "\n", "To evaluate the impact of these two design parameters on the network performance, we\n", "evaluate the spectral efficiency distribution as $(f,\\rho)$ vary." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:59.800934Z", "iopub.status.busy": "2026-08-07T09:18:59.800803Z", "iopub.status.idle": "2026-08-07T09:18:59.804584Z", "shell.execute_reply": "2026-08-07T09:18:59.803848Z" } }, "outputs": [], "source": [ "def get_sinr_downlink(guaranteed_power_ratio,\n", " fairness_dl):\n", " \"\"\" Compute the downlink SINR \"\"\"\n", " # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n", " dl_power_per_ut, _ = downlink_fair_power_control(\n", " pathloss_serving_cell,\n", " interference_dl + no,\n", " num_allocated_subcarriers,\n", " bs_max_power_dbm=bs_max_power_dbm,\n", " guaranteed_power_ratio=guaranteed_power_ratio,\n", " fairness=fairness_dl)\n", "\n", " # Spread power uniformly across subcarriers\n", " # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym, num_subcarriers]\n", " dl_power = spread_across_subcarriers(\n", " dl_power_per_ut,\n", " is_scheduled,\n", " num_tx=1)\n", "\n", " dl_power = torch.reshape(dl_power,\n", " [batch_size, num_bs, num_streams_per_bs,\n", " num_ofdm_sym, num_subcarriers])\n", "\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management_dl)\n", " h_eff = precoded_channel(h_freq_dl, tx_power=dl_power, alpha=no)\n", "\n", " lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management_dl)\n", "\n", " # [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n", " sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", " return sinr, dl_power_per_ut" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:18:59.806489Z", "iopub.status.busy": "2026-08-07T09:18:59.806367Z", "iopub.status.idle": "2026-08-07T09:19:00.479931Z", "shell.execute_reply": "2026-08-07T09:19:00.478997Z" } }, "outputs": [], "source": [ "# Fairness parameters to evaluate\n", "fairness_dl_vec = [0, .5, 1]\n", "\n", "# Guaranteed power ratio to evaluate\n", "guaranteed_power_ratio_vec = [0, .3]\n", "\n", "# Per-user spectral efficiency per user across (fairness, guaranteed power ratio) values\n", "se_per_ut_dl_mat = np.zeros([len(fairness_dl_vec),\n", " len(guaranteed_power_ratio_vec), num_ut*batch_size])\n", "dl_power_mat = np.zeros([len(fairness_dl_vec),\n", " len(guaranteed_power_ratio_vec), num_ut*batch_size])\n", "\n", "# Compute the spectral efficiency for each (fairness, guaranteed power ratio) pair\n", "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n", " for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n", "\n", " # Compute SINR and DL power distribution\n", " sinr, dl_power_per_ut = get_sinr_downlink(guaranteed_power_ratio, fairness_dl)\n", "\n", " # Spectral efficiency\n", " se_per_ut_dl_mat[idx_fair, idx_guar, :] = get_se(sinr).cpu().numpy().flatten()\n", " # Power allocation\n", " dl_power_mat[idx_fair, idx_guar, :] = dl_power_per_ut.cpu().numpy().mean(axis=2).flatten()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we visualize the spectral efficiency distribution across the different\n", "values of fairness $f$ and guaranteed power ratio $\\rho$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:00.482133Z", "iopub.status.busy": "2026-08-07T09:19:00.482004Z", "iopub.status.idle": "2026-08-07T09:19:00.695387Z", "shell.execute_reply": "2026-08-07T09:19:00.694466Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(len(guaranteed_power_ratio_vec),\n", " figsize=(5, 4*len(guaranteed_power_ratio_vec)))\n", "\n", "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n", " axs[idx_guar].set_title(r'Guaranteed power ratio $\\rho$ =' + f'{guaranteed_power_ratio}')\n", " for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n", " axs[idx_guar].plot(*get_cdf(se_per_ut_dl_mat[idx_fair, idx_guar, :]), label=f'Fairness $f$ = {fairness_dl}')\n", " \n", "for ax in axs:\n", " ax.grid()\n", " ax.legend()\n", " ax.set_xlabel('Per-user spectral efficiency [bps/Hz]')\n", " ax.set_ylabel('Cumulative density function')\n", "fig.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows that, as fairness $f$ increases, the spectral efficiency\n", "distribution tends to become more balanced, with fewer users receiving poor\n", "service but also fewer achieving high throughput. \n", "It also demonstrates that by increasing the value of guaranteed power\n", "ratio $\\rho$ one can achieve a similar effect as by increasing $f$.\n", "\n", "It is also interesting to evaluate the power allocation distribution for\n", "different values of fairness $f$ and guaranteed power ratio $\\rho$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:00.697559Z", "iopub.status.busy": "2026-08-07T09:19:00.697420Z", "iopub.status.idle": "2026-08-07T09:19:00.815148Z", "shell.execute_reply": "2026-08-07T09:19:00.814153Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fairness_guar_ratio_vec = [(0, 0), (0, .5), (1, 0)]\n", "\n", "fig, ax = plt.subplots()\n", "for fairness, guaranteed_power_ratio in fairness_guar_ratio_vec:\n", " idx_fair = np.argmin(np.abs(np.array(fairness_dl_vec) - fairness))\n", " idx_guar = np.argmin(np.abs(np.array(guaranteed_power_ratio_vec) - guaranteed_power_ratio))\n", " ax.plot(*get_cdf(dl_power_mat[idx_fair, idx_guar, :]), \n", " label=fr'$f$={fairness_dl_vec[idx_fair]:.1f}, $\\rho$= {guaranteed_power_ratio_vec[idx_guar]:.1f}')\n", "\n", "ax.plot([dbm_to_watt(bs_max_power_dbm).cpu().item()]*2, [0, 1], 'k--', label='max BS power')\n", "ax.set_xlabel('Per-user downlink transmit power [W]')\n", "ax.set_ylabel('Cumulative density function')\n", "ax.legend()\n", "ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that setting the fairness parameter $f=1$ results in a a roughly uniform power\n", "distribution. \n", "In contrast, when $f=0$, power is only allocated to users with good\n", "channel conditions, leaving most users with no power at\n", "all. However, increasing the guaranteed power ratio $\\rho$ helps mitigate this effect.\n", "\n", "For computational efficiency, we recommend setting $f=0$ and\n", "choosing $\\rho >0$ to ensure that all users receive some power\n", "allocation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "Power allocation in both uplink and downlink requires a global perspective on the network to ensure fairness across all served users.\n", "\n", "We provide two built-in functions for this purpose:\n", "\n", "- [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html)\n", " for uplink power allocation following the open-loop procedure described in 3GPP TS 38.213 [[1]](#references)\n", "- [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html)\n", " for fair downlink power allocation.\n", "\n", "Note that power control is closely tied to scheduling: once users are assigned\n", "to resource elements and streams, the transmission power is determined\n", "accordingly. \n", "For more\n", "details on scheduling, refer to the [Proportional\n", "Fairness Scheduler\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/Scheduling.html).\n", "The\n", "[System-Level Simulations\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/End-to-End_Example.html)\n", "further illustrates how scheduling and power control interact.\n", "\n", "## References\n", "[1] 3GPP TS 38.213. \"NR; Physical layer procedures for control\" \n", "[2] J. Mo, J. Walrand. *Fair end-to-end window-based congestion control*. IEEE/ACM Transactions on networking 8.5 (2000): 556-567." ] } ], "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 }