中断概率约束下的鲁棒雷达通信一体化混合波束形成设计

      Outage constrained robust hybrid beamforming design for MIMO-DFRC systems

      • 摘要: 针对多输入多输出(multiple-input multiple-output, MIMO)雷达通信一体化(dual-function radar-communication, DFRC)系统性能对信道状态信息(channel state information, CSI)精度敏感的问题,构建了非完美CSI条件下的模数混合波束形成设计模型,提出了一种鲁棒的混合波束形成器优化方法。利用CSI误差的先验统计信息,在满足通信中断概率约束的同时最小化雷达方向图加权均方误差,以得到期望的发射数字和模拟波束形成矩阵。所提出的非凸优化问题首先利用坎泰利(Cantelli)不等式进行近似处理,再利用交替方向乘子法(alternating direction method of multipliers, ADMM)求解。仿真实验对比了多种算法之间的性能差异,验证了所提出的MIMO-DFRC混合波束形成设计方法具有高效性和鲁棒性。

         

        Abstract: To address the sensitivity of the performance of multiple-input multiple-output (MIMO) dual-function radar communication (DFRC) systems to the accuracy of channel state information (CSI), we formulate the problem of hybrid analog and digital beamforming under imperfect CSI conditions and propose a robust hybrid beamformer design method. Specifically, by utilizing the prior statistical information of the CSI uncertainties, the expected transmit digital and analog beamforming matrices are obtained via minimizing the weighted mean square error of radar power pattern subject to the constraints on the communication outage probability. The formulated non-convex problem is initially approximated using Cantelli’s Inequality, followed by the application of the alternating direction method of multipliers (ADMM) to obtain the solution. Numerical simulations are performed to compare the performance of the proposed method with other algorithms, demonstrating the effectiveness and robustness of the proposed MIMO-DFRC hybrid beamforming design.

         

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