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arXiv 2602.08255cs.ITeess.SPmath.IT
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MIMO ISAC系统中未知目标和用户位置的最优发射波束成形

Optimal Transmit Beamforming for MIMO ISAC with Unknown Target and User Locations

The Hong Kong Polytechnic University(香港理工大学)

Yizhuo Wang, Shuowen Zhang

AI总结:

本文研究MIMO ISAC系统中未知目标和用户位置的最优发射波束成形,通过分析概率分布信息,提出优化方法以提升感知与通信性能。

摘要:

本文研究了多输入多输出(MIMO)集成感知与通信(ISAC)系统中一个具有挑战性的场景,其中感知目标和通信用户的地理位置都是未知且随机的,而仅知道它们的概率分布信息。在这种情况下,如何通过设计发射波束成形来充分利用空间资源,使得感知和通信都能在统计上达到满意的性能,是一个困难的问题,这推动了本文的研究。此外,我们旨在揭示在ISAC性能方面,目标和用户位置是否具有相似的概率分布是否是可取的。首先,基于仅有的概率分布信息,我们通过推导期望速率或后验Cramér-Rao界(PCRB)来建立通信和感知性能指标。然后,我们提出了发射波束成形优化问题,以最小化PCRB,同时满足期望速率约束,为此推导了最优解。发现最优发射协方差矩阵的秩被所有可能用户位置的MIMO通信信道矩阵之和所上界限制。此外,由于需要满足多个目标/用户位置的需求,我们探讨了在不同时间槽内动态使用不同波束成形设计是否能提高性能。证明了使用静态波束成形策略足以达到最优性能。数值结果验证了我们的分析,显示ISAC性能随着目标/用户位置分布的相似性而提高,并提供了有关基站-用户/目标关联策略的有用见解。

英文摘要:

This paper studies a challenging scenario in a multiple-input multiple-output (MIMO) integrated sensing and communication (ISAC) system where the locations of the sensing target and the communication user are both unknown and random, while only their probability distribution information is known. In this case, how to fully utilize the spatial resources by designing the transmit beamforming such that both sensing and communication can achieve satisfactory performance statistically is a difficult problem, which motivates the study in this paper. Moreover, we aim to reveal if it is desirable to have similar probability distributions for the target and user locations in terms of the ISAC performance. Firstly, based on only probability distribution information, we establish communication and sensing performance metrics via deriving the expected rate or posterior Cramér-Rao bound (PCRB). Then, we formulate the transmit beamforming optimization problem to minimize the PCRB subject to the expected rate constraint, for which the optimal solution is derived. It is unveiled that the rank of the optimal transmit covariance matrix is upper bounded by the summation of MIMO communication channel matrices for all possible user locations. Furthermore, due to the need to cater to multiple target/user locations, we investigate whether dynamically employing different beamforming designs over different time slots improves the performance. It is proven that using a static beamforming strategy is sufficient for achieving the optimal performance. Numerical results validate our analysis, show that ISAC performance improves as the target/user location distributions become similar, and provide useful insights on the BS-user/-target association strategy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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