针对目前多输入多输出(multiple-input multiple-output,MIMO)雷达中通常基于某一种而不是整体性能的波形优化问题,提出一种提高 MIMO 雷达检测和参数估计性能的波形优化方法。该方法基于提高检测概率、降低参数估计方差及抑制旁瓣3种性能约束优化发射波形相关矩阵(waveform covariance matrix,WCM)。首先推导了检测概率及克拉美罗界(Cramer-Rao bound,CRB)的等价表达式,而后联合最大化主旁瓣差约束,并对各约束条件加权,从而得到可灵活调整加权系数以满足实际应用中不同需要的波形优化问题。此波形优化问题可表示为线性规划问题,因而可高效求解。仿真实验对3种约束条件对雷达性能的影响进行了详细分析,实验结果验证了所提方法的有效性。
In multiple-input multiple-output (MIMO)systems,the waveform optimization usually focuses on certain one other than the overall performance.A novel waveform design method is proposed to improve MIMO radar’s overall performance of target detection and parameter estimation.In the proposed method,the waveform covariance matrix (WCM)is optimized under the three following constraints:improving target detec-tion probability,lowering parameter estimation variance and suppressing sidelobe.Firstly,the equivalent for-mulas of detection probability and Cramer-Rao bound (CRB)are derived.After that,with maximizing the difference between the sidelobe and mainlobe as well as weighting each constraint,the waveform optimization problem,the constraints of which can be adjusted flexibly to satisfy the practical demands,is formulated.This waveform optimization problem can be recast as a linear programming,so it can be solved efficiently.The simu-lation results verify the effectiveness of the proposed design.