Dual-Function Radar-Communication Beamforming with Outage Probability Metric

Fuente: arXiv
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Main Authors: Maleki, Hossein, Diaz-Vilor, Carles, Pezeshki, Ali, Tarokh, Vahid, Jafarkhani, Hamid
Format: Preprint
Published: 2025
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author Maleki, Hossein
Diaz-Vilor, Carles
Pezeshki, Ali
Tarokh, Vahid
Jafarkhani, Hamid
author_facet Maleki, Hossein
Diaz-Vilor, Carles
Pezeshki, Ali
Tarokh, Vahid
Jafarkhani, Hamid
contents The integrated design of communication and sensing may offer a potential solution to address spectrum congestion. In this work, we develop a beamforming method for a dual-function radar-communication system, where the transmit signal is used for both radar surveillance and communication with multiple downlink users, despite imperfect channel state information (CSI). We focus on two scenarios of interest: radar-centric and communication-centric. In the radar-centric scenario, the primary goal is to optimize radar performance while attaining acceptable communication performance. To this end, we minimize a weighted sum of the mean-squared error in achieving a desired beampattern and a mean-squared cross correlation of the radar returns from directions of interest (DOI). We also seek to ensure that the probability of outage for the communication users remains below a desired threshold. In the communication-centric scenario, our main objective is to minimize the maximum probability of outage among the communication users while keeping the aforementioned radar metrics below a desired threshold. Both optimization problems are stochastic and untractable. We first take advantage of central limit theorem to obtain deterministic non-convex problems and then consider relaxations of these problems in the form of semidefinite programs with rank-1 constraints. We provide numerical experiments demonstrating the effectiveness of the proposed designs.
format Preprint
id arxiv_https___arxiv_org_abs_2508_04144
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dual-Function Radar-Communication Beamforming with Outage Probability Metric
Maleki, Hossein
Diaz-Vilor, Carles
Pezeshki, Ali
Tarokh, Vahid
Jafarkhani, Hamid
Signal Processing
The integrated design of communication and sensing may offer a potential solution to address spectrum congestion. In this work, we develop a beamforming method for a dual-function radar-communication system, where the transmit signal is used for both radar surveillance and communication with multiple downlink users, despite imperfect channel state information (CSI). We focus on two scenarios of interest: radar-centric and communication-centric. In the radar-centric scenario, the primary goal is to optimize radar performance while attaining acceptable communication performance. To this end, we minimize a weighted sum of the mean-squared error in achieving a desired beampattern and a mean-squared cross correlation of the radar returns from directions of interest (DOI). We also seek to ensure that the probability of outage for the communication users remains below a desired threshold. In the communication-centric scenario, our main objective is to minimize the maximum probability of outage among the communication users while keeping the aforementioned radar metrics below a desired threshold. Both optimization problems are stochastic and untractable. We first take advantage of central limit theorem to obtain deterministic non-convex problems and then consider relaxations of these problems in the form of semidefinite programs with rank-1 constraints. We provide numerical experiments demonstrating the effectiveness of the proposed designs.
title Dual-Function Radar-Communication Beamforming with Outage Probability Metric
topic Signal Processing
url https://arxiv.org/abs/2508.04144