干扰条件下基于空频域二次优化的MIMO雷达波形设计方法  

MIMO radar waveform design method based on quadratically spatial and spectral optimizations under jamming

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,辽宁大连116600

出　　处：《国防科技大学学报》2017年第3期136-143,共8页Journal of National University of Defense Technology

基　　金：国家自然科学基金资助项目(61302153)

摘　　要：针对干扰条件下多输入多输出雷达发射方向图优化问题,提出一种基于空频域二次优化的多输入多输出雷达波形设计方法。该方法将空域上方向图优化问题转化为关于空时发射序列协方差矩阵的优化问题,利用多输入多输出雷达发射方向图仅与阵元之间波形相关性有关的特性,进一步降低空域波形设计复杂度,并通过p阶导数约束展宽零陷;针对优化得到的协方差矩阵,利用随机向量法通过最小二乘准则逼近最优发射方向图来合成具体恒包络波形;在基于空域优化得到的发射波形基础上,根据改变不同时刻信号序列的初始相位雷达发射方向图不变的特性,通过拟功率方法优化相位变化矩阵,实现雷达波形在频域上的二次优化以抑制频域上的干扰。仿真实验证明了所提方法在方向图匹配和干扰抑制方面的有效性。For the optimization problem of MIMO（multiple input multiple output） radar transmit beampattern under jamming, a new MIMO radar waveform design method based on quadratically spatial and spectral optimization was proposed. Firstly, the proposed method converted the problem of MIMO radar transmit beampattern design into the optimization problem about the covariance matrix of MIMO radar’s transmit spacetime sequences. Based on the fact that MIMO radar transmit beampattern was only decided by the correlation of each element’s transmit waveforms, the computational burden of the spatial optimization of waveforms could be reduced. Furthermore, the nulling towards the jamming direction of the transmit beampattern was broadened by the porder derivative constraint. With the optimized covariance matrix, the randomization method was used to synthesize the actual constant modular waveforms under the criteria of least square to gain on the optimal beampattern. Finally, with the optimized waveforms through spatial optimizing process, a phase flexible diagonal matrix was optimized with the likepower method to achieve the spectral optimization of MIMO radar waveforms based on the fact that MIMO radar transmit beampattern would not be influenced by the change of the initial phase of transmit sequence at a certain moment. And the spectral jamming could be avoided by the spectral optimization of waveforms. Simulation results prove the effectiveness of the proposed method in matching desired beampattern and antijamming.

关 键 词：多输入多输出雷达 波形设计 干扰抑制 恒包络 

分 类 号：TN911.7[电子电信—通信与信息系统]