Joint Angle and Delay Cramér-Rao Bound Optimization for ISAC

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Hauptverfasser: Hu, Chao, Fang, Yuan, Qiu, Ling
Format: Preprint
Veröffentlicht: 2023
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author Hu, Chao
Fang, Yuan
Qiu, Ling
author_facet Hu, Chao
Fang, Yuan
Qiu, Ling
contents In this paper, we study a multi-input multi-output (MIMO) beamforming design in an integrated sensing and communication (ISAC) system, in which an ISAC base station (BS) is used to communicate with multiple downlink users and simultaneously the communication signals are reused for sensing multiple targets. Our interested sensing parameters are the angle and delay information of the targets, which can be used to locate these targets. Under this consideration, we first derive the Cramér-Rao bound (CRB) for joint angle and delay estimation. Then, we optimize the transmit beamforming at the BS to minimize the CRB, subject to the communication rate requirement and the maximum transmit power constraint. In particular, we obtain the closed-form optimal solution in the case of single-target and single-user, and in the case of multi-target and multi-user scenario, the sparsity of the optimal solution is proven, leading to a reduction in computational complexity during optimization. The numerical results demonstrate that the optimized beamforming yields excellent positioning performance and effectively reduces the requirement for a large number of antennas at the BS.
format Preprint
id arxiv_https___arxiv_org_abs_2311_05372
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Joint Angle and Delay Cramér-Rao Bound Optimization for ISAC
Hu, Chao
Fang, Yuan
Qiu, Ling
Information Theory
Signal Processing
In this paper, we study a multi-input multi-output (MIMO) beamforming design in an integrated sensing and communication (ISAC) system, in which an ISAC base station (BS) is used to communicate with multiple downlink users and simultaneously the communication signals are reused for sensing multiple targets. Our interested sensing parameters are the angle and delay information of the targets, which can be used to locate these targets. Under this consideration, we first derive the Cramér-Rao bound (CRB) for joint angle and delay estimation. Then, we optimize the transmit beamforming at the BS to minimize the CRB, subject to the communication rate requirement and the maximum transmit power constraint. In particular, we obtain the closed-form optimal solution in the case of single-target and single-user, and in the case of multi-target and multi-user scenario, the sparsity of the optimal solution is proven, leading to a reduction in computational complexity during optimization. The numerical results demonstrate that the optimized beamforming yields excellent positioning performance and effectively reduces the requirement for a large number of antennas at the BS.
title Joint Angle and Delay Cramér-Rao Bound Optimization for ISAC
topic Information Theory
Signal Processing
url https://arxiv.org/abs/2311.05372