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Cramér-Rao Bound Optimization for Joint Radar-Communication Design

2021/01/29 by Fan Liu, Ya-Feng Liu, Ya‐Feng Liu +3 · 62 citations
Computer Science · Engineering · #Direction-of-Arrival Estimation Techniques #Radar Systems and Signal Processing #Radio Wave Propagation Studies #eess.SP

paper · pdf · doi:10.1109/tsp.2021.3135692

13 pages, 7 figures, submitted to IEEE for possible publications

arxiv created 2021/01/29 · arxiv updated 2022/01/26

Abstract

In this paper, we propose multi-input multi-output (MIMO) beamforming designs towards joint radar sensing and multi-user communications. We employ the Cramér-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.

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