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

发布时间：2018-11-14 12:44

【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。
[Abstract]:The existing joint optimization methods of MIMO radar transmitting waveform and receiving filter do not take into account the nonlinearity of the array element power amplifier and the robustness of the algorithm. In order to solve the above problems, a robust optimal design method for MIMO radar transmitting waveforms and receiving filters under clutter is proposed, taking the transmit power of each element of MIMO radar and the peak-to-average ratio of transmitting waveforms of each array element as the constraint conditions. In this method, Max-Min is used to construct the optimal model of the signal-to-noise ratio (SINR) of radar output in the range of target guidance vector uncertainty set. By means of positive semidefinite relaxation (SDR), Charnes-Cooper conversion, sequence optimization and Lagrange duality method, the method is proposed. The nonconvex joint optimization model is transformed into two convex positive semidefinite programming problems for transmitting waveforms and receiving filter space-time sequence covariance matrices, respectively, which are solved by (SDP). Finally, the transmitting waveform and the receiving filter are obtained by using the random vector synthesis method. Experimental results show that the proposed method is effective and robust.
【作者单位】：空军工程大学信息与导航学院;
【基金】：国家自然科学基金(61302153)~~
【分类号】：TN958

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