中文摘要：

传统多输入多输出（multi-input multi-output，MIMO）雷达发射波形设计方法对传播矩阵误差敏感，导致难以得到最优的匹配波形，进而造成系统检测性能严重下降。针对此问题，提出一种基于概率约束的 MIMO雷达稳健发射波形设计方法。该方法考虑最差情况的发生为小概率事件，基于输出信噪比（signal noise ratio， SNR）低于可接受水平的概率小于中断概率的约束条件，通过最大化输出信噪比设计最优波形。利用传播矩阵误差的概率分布特性，将概率约束转化为凸约束，从而将统计优化问题转化为确定性优化问题。该方法在传播矩阵存在误差情况下以高概率实现系统性能最优化。仿真结果表明所提方法能够提高输出 SNR，具有较好的检测性能。

英文摘要：

Conventional waveform design methods for multiple-input multiple-output （MIMO）radars are sensitive to transport matrix errors,so the optimal matched-waveform is hard to achieve,and the detection performance de-grades dramatically.To mitigate this problem,a novel robust waveform design method is introduced for MIMO radars based on probabilistic constraint.In this method,the probability of the worst case is considered very small.Therefore, the probability of the output signal noise ratio （SNR）less than the acceptable level is constrained no more than the out-age probability,and the optimal waveforms are designed to maximize the output SNR.Using the characters of statisti-cal distribution of transport matrix errors,the probabilistic constraint is transformed to a deterministic convex con-straint.So the statistical optimization problem is converted to a convex optimization problem.This method maximizes the performance with high probability under transport matrix errors.The simulation results show that the method in-creases the output SNR and detection performance.