{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Proportional Fairness Scheduler\n", "\n", "In this notebook we illustrate how to schedule users in an OFDM time/frequency\n", "resource grid according to a proportional fairness criterion. \n", "We consider a single-user MIMO system, i.e., at most one user can be scheduled\n", "in a resource element.\n", "\n", "We provide a simplistic but pedagogical example where the rate achievable by\n", "users across the OFDM resource grid follows an autoregressive process. \n", "This example can be used as boilerplate code for use in a more realistic setting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![scheduling_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": "2026-08-07T09:19:05.487983Z", "iopub.status.busy": "2026-08-07T09:19:05.487773Z", "iopub.status.idle": "2026-08-07T09:19:08.657698Z", "shell.execute_reply": "2026-08-07T09:19:08.656658Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna.sys\n", "except ImportError as e:\n", " import sys\n", " import os\n", " if 'google.colab' in sys.modules:\n", " # Install Sionna in Google Colab\n", " print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n", " os.system(\"pip install sionna\")\n", " os.kill(os.getpid(), 5)\n", " else:\n", " raise e\n", "\n", "import torch" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:08.659694Z", "iopub.status.busy": "2026-08-07T09:19:08.659416Z", "iopub.status.idle": "2026-08-07T09:19:08.663009Z", "shell.execute_reply": "2026-08-07T09:19:08.662148Z" } }, "outputs": [], "source": [ "# Additional external libraries\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Sionna components\n", "from sionna.phy import config, Block\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.utils.random import randint, uniform\n", "from sionna.sys import PFSchedulerSUMIMO\n", "\n", "# Set random seed for reproducibility\n", "sionna.phy.config.seed = 48\n", "\n", "# Internal computational precision\n", "sionna.phy.config.precision = 'single' # 'single' or 'double'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The main principle\n", "\n", "The [proportional fairness (PF) scheduler](https://nvlabs.github.io/sionna/sys/api/scheduling.html) distributes the available\n", "resources across users by maximizing the sum of logarithms of the\n", "long-term throughputs $T(u)$ across the users $u=1,2,\\dots$: \n", "$$\n", "\\max \\sum_u \\log T(u).\n", "$$\n", "\n", "To this aim, the scheduler assigns each resource $i$ to the user with the highest PF\n", "metric, defined as the ratio of the *achievable* rate on resource $i$ to\n", "the throughout achieved by the user in the past [[1]](#references),\n", "[[2]](#references), [[3]](#references).\n", "\n", "As a result, resources are distributed (roughly) uniformly across users, who are\n", "scheduled when their channel conditions reach a local peak. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic scenario\n", "\n", "To illustrate the key principles of proportional fairness, we design a simple\n", "example where each user's achievable rate on each subcarrier evolves according\n", "to an autoregressive (AR) process centered around a user-specific mean. \n", "\n", "We first set the main simulation parameters:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:08.664563Z", "iopub.status.busy": "2026-08-07T09:19:08.664440Z", "iopub.status.idle": "2026-08-07T09:19:08.817415Z", "shell.execute_reply": "2026-08-07T09:19:08.816354Z" } }, "outputs": [], "source": [ "# Number users\n", "num_ut = 3\n", "\n", "# OFDM resource grid\n", "num_subcarriers = 12\n", "num_ofdm_symbols = 2\n", "num_slots = 200\n", "\n", "# User-specific average achievable rate\n", "se_achievable_avg = uniform([num_ut], low=1, high=7)\n", "\n", "# User-specific AR multiplicative parameter\n", "rho = uniform([num_ut], low=0.8, high=0.95)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generate achievable rate time series\n", "\n", "We now generate the achievable rate time series for each user, on all\n", "subcarriers. \n", "Note that this section would be typically replaced by generating channel\n", "realizations according to user mobility and computing the related SINR, as\n", "shown, e.g.,\n", "in the [link adaptation\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/LinkAdaptation.html)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:08.819302Z", "iopub.status.busy": "2026-08-07T09:19:08.819170Z", "iopub.status.idle": "2026-08-07T09:19:08.822878Z", "shell.execute_reply": "2026-08-07T09:19:08.822111Z" } }, "outputs": [], "source": [ "class AR1(Block):\n", " \"\"\" Autoregressive process of order 1 for the achievable rate evolution \"\"\"\n", " def __init__(self, mean, rho, precision=None):\n", " super().__init__(precision=precision)\n", " self.mean = torch.as_tensor(\n", " mean, dtype=self.dtype, device=self.device)\n", " self.rho = torch.as_tensor(\n", " rho, dtype=self.dtype, device=self.device)\n", " self.val = self.mean.clone()\n", "\n", " def call(self):\n", " val_new = self.val * self.rho + self.mean * (1 - self.rho) + \\\n", " torch.randn_like(self.val)\n", " self.val = val_new.clamp_min(0)\n", " return self.val" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:08.824335Z", "iopub.status.busy": "2026-08-07T09:19:08.824213Z", "iopub.status.idle": "2026-08-07T09:19:08.891244Z", "shell.execute_reply": "2026-08-07T09:19:08.890132Z" } }, "outputs": [], "source": [ "# Broadcast across resources\n", "se_achievable_avg = torch.tile(se_achievable_avg[None, :],\n", " [num_subcarriers, 1])\n", "rho = torch.tile(rho[None, :],\n", " [num_subcarriers, 1])\n", "\n", "# Create the AR(1) process\n", "se_achievable_ar = AR1(se_achievable_avg, rho)\n", "\n", "# Generate the achievable rate time series\n", "se_achievable_hist = np.zeros([num_slots*num_ofdm_symbols,\n", " num_subcarriers,\n", " num_ut])\n", "for slot in range(num_slots*num_ofdm_symbols):\n", " se_achievable_hist[slot, :] = se_achievable_ar().cpu().numpy()\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:08.893037Z", "iopub.status.busy": "2026-08-07T09:19:08.892889Z", "iopub.status.idle": "2026-08-07T09:19:09.063589Z", "shell.execute_reply": "2026-08-07T09:19:09.062927Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a color map or list of colors\n", "colors = plt.cm.Set1(np.linspace(0, 1, num_ut))\n", "\n", "# Plot\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "ax.set_xlabel('OFDM symbol index')\n", "ax.set_ylabel('Spectral efficiency [bps/Hz]')\n", "ax.set_title('Achievable spectral efficiency evolution (avg across resources)')\n", "for ut in range(num_ut):\n", " # Average SE across subcarriers\n", " ax.plot(se_achievable_hist[..., ut].mean(axis=(-1)), color=colors[ut], label=f'User {ut+1}')\n", "ax.legend()\n", "ax.grid()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Schedule users\n", "\n", "We first instantiate a [PFSchedulerSUMIMO](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PFSchedulerSUMIMO.html) object to schedule users in a single-user\n", "MIMO system." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:09.089943Z", "iopub.status.busy": "2026-08-07T09:19:09.089743Z", "iopub.status.idle": "2026-08-07T09:19:09.710046Z", "shell.execute_reply": "2026-08-07T09:19:09.709089Z" } }, "outputs": [], "source": [ "# Instantiate the scheduler\n", "scheduler = PFSchedulerSUMIMO(\n", " num_ut,\n", " num_subcarriers,\n", " num_ofdm_symbols,\n", " beta=.95)\n", "\n", "# Use compilation to speed up simulations\n", "@torch.compile\n", "def scheduler_xla(rate_last_slot, rate_achievable_curr):\n", " return scheduler(rate_last_slot, rate_achievable_curr)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The scheduler will now assign the OFDM resources to the different users\n", "according to the proportional fairness principle." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:09.712202Z", "iopub.status.busy": "2026-08-07T09:19:09.711935Z", "iopub.status.idle": "2026-08-07T09:19:09.826057Z", "shell.execute_reply": "2026-08-07T09:19:09.825033Z" } }, "outputs": [], "source": [ "# Initialize the achieved rate and scheduling decisions history\n", "se_achieved_hist = np.zeros([num_slots, num_ut])\n", "ut_scheduled_hist = np.zeros([num_slots, num_ofdm_symbols, num_subcarriers])\n", "\n", "# Initialize the rate achieved in the last slot to 0\n", "se_last_slot = torch.zeros([num_ut], dtype=config.dtype, device=config.device)\n", "\n", "for slot in range(num_slots):\n", " # Extract the achievable rate in the current slot\n", " # [num_ofdm_symbols, num_subcarriers, num_ut]\n", " se_achievable_curr = torch.tensor(\n", " se_achievable_hist[slot*num_ofdm_symbols:(slot+1)*num_ofdm_symbols, :],\n", " dtype=config.dtype, device=config.device)\n", "\n", " # Schedule users in the current slot across the resource grid\n", " # [num_ofdm_sym, num_subcarriers, num_ut, num_streams_per_ut]\n", " is_scheduled = scheduler(se_last_slot, se_achievable_curr)\n", "\n", " # Sum spectral efficiency over scheduled resources in the current slot\n", " is_scheduled_re = torch.all(is_scheduled, dim=-1)\n", " se_achieved = is_scheduled_re.float() * se_achievable_curr\n", " # [num_ut]\n", " se_last_slot = torch.sum(se_achieved, dim=(-2, -3))\n", "\n", " # User scheduled in each resource element\n", " # [num_ofdm_sym, num_subcarriers]\n", " ut_scheduled = torch.argmax(torch.sum(\n", " is_scheduled.int(), dim=-1), dim=-1)\n", "\n", " # Store the results\n", " se_achieved_hist[slot, :] = se_last_slot.cpu().numpy()\n", " ut_scheduled_hist[slot, :] = ut_scheduled.cpu().numpy()\n", "\n", "# Reshape the scheduling history\n", "ut_scheduled_hist = np.reshape(ut_scheduled_hist,\n", " [num_slots*num_ofdm_symbols, num_subcarriers])\n", "\n", "# Per-user achieved rate\n", "rate_achieved_pf = se_achieved_hist.sum(axis=0)\n", "# PF metric\n", "pf_metric_pf = np.sum(np.log(rate_achieved_pf))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now visualize for a specific resource element in the grid, when a user is scheduled:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:09.828075Z", "iopub.status.busy": "2026-08-07T09:19:09.827935Z", "iopub.status.idle": "2026-08-07T09:19:10.007785Z", "shell.execute_reply": "2026-08-07T09:19:10.006838Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Select subcarrier to plot\n", "sc = 2\n", "\n", "# Create a color map or list of colors\n", "colors = plt.cm.Set1(np.linspace(0, 1, num_ut))\n", "\n", "# Plot\n", "fig, ax = plt.subplots(figsize=(10, 5))\n", "ax.set_xlabel('Slot')\n", "ax.set_ylabel('Spectral efficiency [bps/Hz]')\n", "ax.set_title(f'Scheduling decisions on subcarrier {sc}')\n", "for ut in range(num_ut):\n", " # Achievable rate\n", " ax.plot(se_achievable_hist[:, sc, ut],\n", " color=colors[ut],\n", " label=f'User {ut+1}')\n", " ind_ut_scheduled = ut_scheduled_hist[:, sc] == ut\n", " # Scheduling decisions\n", " ax.plot(np.where(ind_ut_scheduled)[0],\n", " se_achievable_hist[ind_ut_scheduled, sc, ut],\n", " marker='x', color=colors[ut], linestyle='None',\n", " label=f'User {ut+1} scheduled')\n", "ax.legend()\n", "ax.grid()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can see from the figure above that users tend to be scheduled when their respective\n", "achievable rate reaches a local peak. \n", "This demonstrates that the scheduler\n", "opportunistically schedules each user when the channel conditions are relatively favorable.\n", "\n", "We now provide an ensemble view of scheduling decisions across all subcarriers:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:10.009390Z", "iopub.status.busy": "2026-08-07T09:19:10.009250Z", "iopub.status.idle": "2026-08-07T09:19:10.124827Z", "shell.execute_reply": "2026-08-07T09:19:10.124002Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_up_to_subcarrier = 100\n", "show_up_to_symbol = 200\n", "\n", "cmap = plt.get_cmap('Set1', num_ut)\n", "\n", "plt.figure(figsize=(12, 5))\n", "plt.imshow(ut_scheduled_hist[np.arange(min(show_up_to_symbol, num_slots*num_ofdm_symbols))[:, np.newaxis], \n", " np.arange(min(show_up_to_subcarrier, num_subcarriers))].T, cmap=cmap, aspect='auto')\n", "\n", "# Add colorbar with custom ticks and labels\n", "cbar = plt.colorbar(ticks=np.arange(num_ut))\n", "cbar.ax.set_yticklabels([f'User {ut+1}' for ut in range(num_ut)])\n", "cbar.set_label('User Allocation', fontsize=12)\n", "plt.gca().invert_yaxis()\n", "plt.xlabel('OFDM symbols')\n", "plt.ylabel('Subcarriers')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Observe that each user receives roughly the same number of resources, which is\n", "a known and desirable property of the PF scheduler." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:10.126756Z", "iopub.status.busy": "2026-08-07T09:19:10.126619Z", "iopub.status.idle": "2026-08-07T09:19:10.130168Z", "shell.execute_reply": "2026-08-07T09:19:10.129392Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "User 1 is scheduled on 36.21% of available resources\n", "User 2 is scheduled on 29.46% of available resources\n", "User 3 is scheduled on 34.33% of available resources\n" ] } ], "source": [ "for ut in range(num_ut):\n", " perc_ut = (ut_scheduled_hist==ut).sum() / (num_ofdm_symbols*num_subcarriers*num_slots)*100\n", " print(f'User {ut + 1} is scheduled on {perc_ut:.2f}% of available resources')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaluate performance\n", "\n", "It is interesting to compare the performance of the PF scheduler with that of a\n", "random scheduler, which assigns resources to users uniformly at random. \n", "While\n", "random scheduling also ensures a uniform distribution of resources, it lacks\n", "opportunism and may allocate resources when channel conditions are unfavorable,\n", "resulting in lower user throughput.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:10.131687Z", "iopub.status.busy": "2026-08-07T09:19:10.131567Z", "iopub.status.idle": "2026-08-07T09:19:10.139965Z", "shell.execute_reply": "2026-08-07T09:19:10.139238Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---------\n", "PF metric\n", "---------\n", "Random scheduling: 26.84\n", "PF scheduling: 27.93\n" ] } ], "source": [ "# Schedule users uniformly at random across the resource grid\n", "ut_scheduled_rand_hist = randint(0, num_ut, [num_slots*num_ofdm_symbols, num_subcarriers])\n", "is_scheduled_rand_hist = torch.nn.functional.one_hot(ut_scheduled_rand_hist, num_ut).float()\n", "\n", "rate_achieved_rand = np.sum(se_achievable_hist * is_scheduled_rand_hist.cpu().numpy(), axis=(-2,-3))\n", "\n", "# Compute PF metric of random scheduling\n", "pf_metric_rand = np.sum(np.log(rate_achieved_rand))\n", "\n", "print('---------')\n", "print('PF metric')\n", "print('---------')\n", "print(f'Random scheduling: {pf_metric_rand:.2f}')\n", "print(f'PF scheduling: {pf_metric_pf:.2f}')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-08-07T09:19:10.141779Z", "iopub.status.busy": "2026-08-07T09:19:10.141657Z", "iopub.status.idle": "2026-08-07T09:19:10.240158Z", "shell.execute_reply": "2026-08-07T09:19:10.239333Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Data for the histogram\n", "users = ['User 1', 'User 2', 'User 3']\n", "\n", "# Create the histogram\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "bar_width = 0.25\n", "index = np.arange(len(users))\n", "\n", "# Normalization factor\n", "norm_fact = max(rate_achieved_pf)\n", "# Throughput histogram\n", "ax.bar(index, rate_achieved_pf / norm_fact, bar_width, label='PF Scheduling')\n", "ax.bar(index + bar_width, rate_achieved_rand / norm_fact, bar_width, label='Random Scheduling')\n", "\n", "ax.set_ylabel('(normalized) Throughput')\n", "ax.set_title('Throughput per User for PF and Random Scheduling')\n", "ax.set_xticks(index + bar_width / 2)\n", "ax.set_xticklabels(users)\n", "ax.legend()\n", "ax.grid()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "The [PFSchedulerSUMIMO](https://nvlabs.github.io/sionna/sys/api/sionna.sys.PFSchedulerSUMIMO.html) class schedules users according the\n", "proportional fairness (PF) criterion in a single-user MIMO scenario, where at\n", "most one user can be scheduled in each resource.\n", "\n", "By maximizing the sum of logarithms of user throughput, the PF scheduler\n", "distributes resources uniformly across users while opportunistically scheduling\n", "users when their channel conditions reach a local peak.\n", "\n", "In this notebook, the achievable rate is modeled using a simple autoregressive\n", "process and is assumed to be perfectly estimated. \n", "For more realistic settings, please refer to the more advanced \n", "[system-level simulation notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/End-to-End_Example.html) and [Sionna SYS meets RT\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/SYS_Meets_RT.html).\n", "\n", "\n", "## References\n", "\n", "[1] A\\. Jalali, R\\. Padovani, R\\. Pankaj, \"Data throughput of CDMA-HDR a high efficiency-high data rate personal\n", " communication wireless system.\" VTC2000-Spring. 2000 IEEE 51st Vehicular\n", " Technology Conference Proceedings. Vol. 3. IEEE, 2000. \n", "\n", "[2] A\\. L\\. Stolyar, \"Maximizing queueing network utility subject to\n", " stability: Greedy primal-dual algorithm\". Queueing Systems, 50, pp. 401-457,\n", " 2005. \n", "\n", "[3] M\\. Andrews, L\\. Qian, A\\. Stolyar. \"Optimal utility based\n", " multi-user throughput allocation subject to throughput constraints.\" Proceedings\n", " IEEE 24th Annual Joint Conference of the IEEE Computer and Communications\n", " Societies. Vol. 4. IEEE, 2005. " ] } ], "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 }