稳健的MIMO雷达发射波形和接收滤波器联合优化设计

摘要

For the case that the direction of the reflected signal from desired target in the presence of clutter is uncertain,a robust joint design of transmit waveform and receive filter for MIMO radar is proposed.Under the condition of the transmit power constraint for each transmit element,a Max-min optimal model about the output SINR within the uncertainty set is designed using transmit weighting matrix.On this basis,the sequential optimization method,semi-definite relaxation and Charnes-Cooper transform are used to transform the joint optimization problem,which is non-convex,into two convex sub-problems about transmit waveform and receive filter,respectively.And through iteration optimization procedure,the optimized covariance matrixes of transmit waveform and receive filter are obtained.Finally,the desired transmit weighting matrix and receive filter are synthesized via the randomization method with the optimized covariance matrixes.Theoretical analysis and demonstration about the computation complexity and the convergence of the proposed method are given.The proposed method can improve the robustness and reduce the computational burden with the same transmit power constraint of each antenna.And the efficiency andvalidity of the proposed method are verified by the simulation results.%针对杂波条件下目标反射信号方向不确定的情况,提出一种稳健的MIMO雷达发射波形和接收滤波器联合优化设计方法.在考虑各阵元发射功率相等的约束条件下,利用发射加权矩阵构造不确定集范围内关于输出信干噪比(SINR)的Max-min优化模型;在此基础上,利用序列优化、半正定松弛和Charnes-Cooper转换,将非凸的联合优化问题转化为关于发射波形和接收滤波器的凸优化问题进行迭代求解;最后通过随机向量合成方法计算最终发射波形和接收滤波器,并对算法计算复杂度和收敛性给出分析和证明.所提方法在满足阵元发射功率一致的约束条件下,提高了算法稳健性并降低了计算复杂度.仿真实验证明了算法的有效性.