稳健MIMO雷达发射波形和接收滤波器优化  

Robust design of MIMO radar transmit waveform and receive filter

作　　者：王玉玺[1] 黄国策[1] 李伟[1] 胡继宽 

机构地区：[1]空军工程大学信息与导航学院,陕西西安710077 [2]空军大连通信士官学校有线通信系,辽宁大连116600

出　　处：《华中科技大学学报（自然科学版）》2017年第6期26-32,共7页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61302153);航空科学基金资助项目(20160196001)

摘　　要：针对雷达阵元功率放大器非线性以及在拥挤电磁频谱环境下所面临的频谱干扰,以雷达发射波形峰均比和在干扰频带内的发射能量为约束条件,结合弱目标方向估计不准的情况,提出一种稳健的MIMO雷达发射波形和接收滤波器联合优化方法.通过半正定松弛、Charnes-Cooper转换、序列优化和Max-min优化理论,将目标方向不确定集内非凸的优化问题转化为关于发射波形和接收滤波器的子凸优化问题进行求解;最后通过随机向量合成得到最终发射波形和接收滤波器.该方法在提高算法稳健性的同时,使每个阵元发射波形满足特定峰均比并且在干扰频带内形成零陷,从而提高MIMO雷达在实际应用环境下的工作性能,仿真实验验证了该方法的有效性.For the non-linear characteristic of radar transmit antenna′s amplifier and the faced spectral interference in a spectrally crowded environment,a novel robust joint design of MIMO（multiple input multiple output）radar transmit waveform and receive filter was proposed in this paper.The practical issues such as the peak to average power ratio（PAR）of each transmit antenna,the total transmit energy within the interference band as well as the imprecise direction of target reflected signal were all taken into account.As to the resulting non-convex problem,semi-definite relaxation,Charnes-Cooper transform,sequential optimization and Max-min theory were used to transform the joint non-convex optimization problem into two convex programming problems about transmit waveform and receive filter,respectively.At last,the final transmit waveform and receive filter were synthesized via randomization method based on the optimized covariance matrixes of transmit waveforms and receive filters.The proposed method can not only improve the robustness of radar system via optimizing the worst case,but also constraint the transmit waveform of each element within a desired PAR.Besides,a spectral null can also be formed in the interference band and as a result,the performance of MIMO radar in practical applications is improved.The efficiency and validity of the proposed scheme are verified by the simulation results.

关 键 词：MIMO雷达 波形优化 滤波器优化 峰均比 半正定规划 

分 类 号：TN911.7[电子电信—通信与信息系统]