杂波条件下稳健的MIMO雷达发射波形和接收滤波器联合优化设计

摘要

现有MIMO雷达发射波形和接收滤波器联合优化方法均未考虑阵元功率放大器非线性以及算法的稳健性.针对上述问题,该文以MIMO雷达各阵元发射功率和每个阵元发射波形的峰均比(PAR)为约束条件,提出一种杂波条件下稳健的MIMO雷达发射波形和接收滤波器联合优化设计方法.该方法利用Max-Min构造目标导向矢量不确定集范围内关于雷达输出信干噪比(SINR)的优化模型,通过半正定松弛(SDR)、Charnes-Cooper转换、序列优化和Lagrange对偶方法,将非凸的联合优化模型转化为两个分别关于发射波形和接收滤波器空时序列协方差矩阵的凸的半正定规划问题(SDP)进行求解,最后利用随机向量合成方法得到具体的发射波形和接收滤波器.实验仿真验证了所提方法的有效性和稳健性.%The existing joint design methods of transmit waveform and receive filter for MIMO radar do not take into account the non-linear characteristics of radio frequency amplifier and the imprecise information about the target in practical applications. For these problems, a robust joint design of transmit waveform and receive filter for MIMO radar in presence of clutter with the power constraint of each element and the Peak-to-Average-power Ratio (PAR) constraint of transmit waveform from each element is proposed. The novel scheme sets an optimization model of MIMO radar's output Signal-to-Interference-plus-Noise Ratio (SINR) within the uncertainty of target's steering vector via Max-Min method. As for the resulting non-convex joint optimization problem, Semi-Definite Relaxation (SDR), Charnes-Cooper transformation, sequential optimization, and Lagrange dual theorem are adopted to converse the non-convex original problem into two convex Semi-Definite Programming (SDP) sub-problems, which are concerned about the covariance matrix of transmit space-time code and receive space-time filter, respectively. The final transmit waveform and receive filter can be obtained by randomization method. The efficiency and robustness of the proposed algorithm are verified by the simulation results.