论文标题
MIMO集成感测和沟通与扩展目标：CRB率权衡
MIMO Integrated Sensing and Communication with Extended Target: CRB-Rate Tradeoff
论文作者
论文摘要
本文研究了多输入的多输出（MIMO）集成感应和通信（ISAC）系统，其中多个Antenna基站（BS）发送统一的无线信号以估算扩展目标并与多Antenna通信用户（CU）进行通信。我们通过表征可实现的CRB率（C-R）区域的帕累托边界来研究传感的估算CRAMér-RAO BOND（CRB）之间的基本权衡。为此，我们通过优化BS处的传输协方差矩阵来制定新的MIMO速率最大化问题，但要受到新形式的最大CRB约束形式，并具有最大发射功率约束。我们首先实施单数值分解（SVD）以对角度化通信通道，然后将这些子通信的传输功率分配给通信和其他正交子渠道（如果有的话），以对这些亚渠道分配给这些子渠，以对这些传输渠道（如果有的话），以对这些传输渠道（如果有的话）正确地分配了传输功率，从而以半闭合形式得出了最佳的传输协方差解决方案。结果表明，最佳的传输协方差为全等级，它可以通过填充水功率分配的传统速率最大化设计和各向同性传输的CRB最小化设计。与其他基准方案相比，提供了数值结果来验证我们提出的最佳设计所实现的性能。
This paper studies a multiple-input multiple-output (MIMO) integrated sensing and communication (ISAC) system, in which a multi-antenna base station (BS) sends unified wireless signals to estimate an extended target and communicate with a multi-antenna communication user (CU) at the same time. We investigate the fundamental tradeoff between the estimation Cramér-Rao bound (CRB) for sensing and the data rate for communication, by characterizing the Pareto boundary of the achievable CRB-rate (C-R) region. Towards this end, we formulate a new MIMO rate maximization problem by optimizing the transmit covariance matrix at the BS, subject to a new form of maximum CRB constraint together with a maximum transmit power constraint. We derive the optimal transmit covariance solution in a semi-closed form, by first implementing the singular-value decomposition (SVD) to diagonalize the communication channel and then properly allocating the transmit power over these subchannels for communication and other orthogonal subchannels (if any) for dedicated sensing. It is shown that the optimal transmit covariance is of full rank, which unifies the conventional rate maximization design with water-filling power allocation and the CRB minimization design with isotropic transmission. Numerical results are provided to validate the performance achieved by our proposed optimal design, in comparison with other benchmark schemes.
