多约束条件下MIMO雷达自适应波形设计方法

摘要

针对当前面向多输入多输出(MIMO)雷达目标估计性能的波形设计无法同时满足系统对检测性能要求的问题,提出了多约束条件下MIMO雷达自适应波形设计方法.该方法根据已知的目标和噪声先验信息,以衡量雷达检测性能的信噪比和能量作为约束条件,以最大化目标与接收回波间的互信息作为目标进行波形设计,并通过建模将所提的非凸问题转化为一个标准的凸问题进行求解,最终获得MI-MO雷达的优化波形.同时,考虑到噪声协方差矩阵对模型求解的影响,在波形设计时分为白噪声和色噪声两种情况进行分析处理.仿真表明:根据所提方法设计的波形在满足雷达检测性能基本要求的同时提高了目标的估计性能.%Aiming at the problem that the waveform design method for multiple-input multiple-output (MIMO) radar target estimation performance cannot meet the requirements of radar detection performance at the same time,an adaptive waveform design method for MIMO radar with multiple constraints was proposed.By assum-ing that the prior information of target and noise were known,this method treated maximizing the mutual infor-mation of target with the corresponding received echo as objective to design waveform by the constraints on sig-nal to noise ratio used to measure radar detection performance and energy.Finally,the optimal waveform of MI-MO radar was obtained by solving a standard convex problem,although it was non-convex before modeling. Meanwhile,considering the effect of the noise covariance matrix on the solution of the model,the noise was di-vided into two cases of white noise cases and colored noise cases,which to be analyzed in waveform design.The simulation results showed that the waveform designed by the proposed method could improve the performance of target estimation while satisfying the basic requirements of radar detection performance.