功率约束条件下的MIMO雷达波形设计

摘要

为解决 MIMO雷达由于功率分配而导致的探测性能下降问题，从目标脉冲响应和雷达反射波形入手，采用脉冲响应均方误差最小化和脉冲响应与反射波形互信息最大化两种方式提高目标的检测性能；将雷达发射功率限制划分为总功率限制、恒功率限制以及峰值和总功率限制三种情况，并分别应用p范约束建立约束方程采用拉格朗日乘子法和KKT条件求出约束条件下的最优解；最后，通过仿真验证了新设计波形的探测性能。测试结果表明：新设计波形可依据目标功率谱密度值（PSD）主动调控功率分配，提高了探测性能。%This paper deals with the problem of MIMO radar that the detection performance may decline as a result of irrational power allocation.It starts with the study of the impulse response of the target and the radar reflected waveform.The detection performance is improved by minimizing the mean square error of the impulse response and maximizing the mutual information of the impulse response and the reflected waveform.The radar transmit power limits are divided into three cases:the total power limit,the constant power limit and the peak and total power limit.Constraint equations are established by p-norm constraint respectively.The optimal solution is obtained by using Lagrange multiplier method and KKT condition.Finally,the detection performance of the new design is verified by simulation.The result indicates that the new waveform could distribute power actively according to target PSD so that its detection performance is improved.