压缩感知雷达波形优化设计

Optimal Waveform Design for Compressive Sensing Radar

针对压缩感知雷达(CSR)波形优化问题,该文提出一种基于感知矩阵相关性最小化的CSR波形优化设计方法。首先建立了CSR的系统模型,给出了最小化感知矩阵相关性的波形优化目标函数,其次以多相编码信号作为优化码型,采用模拟退火(SA)算法对目标函数进行优化求解。优化波形有效降低了感知矩阵的相关性,由此提高了CSR目标信息提取的准确性和稳健性。计算机仿真表明优化波形使得感知矩阵相关系数较传统雷达波形明显减小,验证了该方法的有效性。

To solve the problem of waveform optimization for compressive sensing radar（CSR）,an optimized method for CSR waveform design through minimizing the coherence of the sensing matrix is proposed here.The system model of CSR is established and the objective function of the waveform optimization for minimizing the coherence of the sensing matrix is presented.The simulated annealing（SA）algorithm is employed to find the optimal solution to the objective function taking polyphase coded signal as an example.The optimized waveform can effectively reduce the coherence of the corresponding sensing matrix,and thus improve the accuracy and robustness of the CSR target information extraction.The computer simulation shows that the optimized waveform significantly reduces the coherence of the sensing matrix compared with traditional radar waveforms,and hence confirms the effectiveness of this proposed method.