非确知目标先验知识条件下MIMO雷达稳健波形设计

Optimization design for robust waveform of MIMO radar under condition of uncertain target prior knowledge

考虑稳健波形优化问题以提高多输入多输出雷达最差条件下参数估计精度。基于最小-最大方法,将初始参数误差模型显式包含进波形优化问题,并基于克拉美-罗界得到稳健波形设计。为求解得到的复杂非线性优化问题,基于哈达玛不等式将其转化为半定规划问题,从而可高效求解。仿真结果表明,与不相关发射波形以及非稳健方法相比,所提方法可显著改善最差条件下参数的估计性能。

The robust waveform optimization is considered to improve the parameter estimation accuracy of multiple-inputand multiple-output(MIMO)radar under worst condition.On the basis of the min-max approach,the initial parameter errormodel is contained in the waveform optimization explicitly,and the robust waveform design is obtained on the basis of Cramér-Rao bound(CRB).To solve the obtained complicated and nonlinear optimization problem,it is converted into the semidefiniteprogramming(SDP)problem by means of Hadamard′s inequality to get the efficient solution.The simulation results show that,in comparison with the uncorrelated transmitted waveform and non-robust method,the method can improve the parameter estimation performance under worst condition.