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Cramér-Rao Bound Optimization for Joint Radar-Communication Beamforming

Liu, F; Liu, YF; Li, A; Masouros, C; Eldar, YC; (2021) Cramér-Rao Bound Optimization for Joint Radar-Communication Beamforming. IEEE Transactions on Signal Processing , 70 pp. 240-253. 10.1109/TSP.2021.3135692. Green open access

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Abstract

In this paper, we propose multi-input multi-output (MIMO) beamforming designs towards joint radar sensing and multi-user communications. We employ the Cramr-Rao bound (CRB) as a performance metric of target estimation, under both point and extended target scenarios. We then propose minimizing the CRB of radar sensing while guaranteeing a pre-defined level of signal-to-interference-plus-noise ratio (SINR) for each communication user. For the single-user scenario, we derive a closed form for the optimal solution for both cases of point and extended targets. For the multi-user scenario, we show that both problems can be relaxed into semidefinite programming by using the semidefinite relaxation approach, and prove that the global optimum can always be obtained. Finally, we demonstrate numerically that the globally optimal solutions are reachable via the proposed methods, which provide significant gains in target estimation performance over state-of-the-art benchmarks.

Type: Article
Title: Cramér-Rao Bound Optimization for Joint Radar-Communication Beamforming
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TSP.2021.3135692
Publisher version: https://doi.org/10.1109/TSP.2021.3135692
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Radar, Array signal processing, Sensors, Radar antennas, Estimation, Optimization, Receiving antennas
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10144566
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