一种基于Walsh矩阵的正交多相码设计方法

借助Walsh矩阵严格正交性，通过类Walsh矩阵构造和随机列重排生成多相码严格正交性空间域，利用遗传算法从中选取低相关旁瓣量信号组.该方法保证了设计的信号间严格正交性，降低了遗传算法搜索空间.遗传算法代价函数选取为自相关峰值旁瓣量、互相关峰值量以及“和信号”(所有发射信号空间叠加之和)相关峰值旁瓣量之和，“和信号”相关输出为实际信号处理的综合输出，其旁瓣量的高低直接影响雷达对目标的检测性能.仿真结果验证了该方法在保证低自相关旁瓣量和低互相关量的同时，能够设计出信号间符合严格正交性和低综合输出旁瓣量的信号组.

A method of orthogonal polyphase code sequence design based on Walsh matrix

With strictly orthogonal Walsh matrix, genetic algorithm optimize in the polyphase code orthogonal space that is generated by the matrix structure and random column rearrangement. This method ensures the strict orthogonality and reduces the search space of the genetic alogorithm. The cost function contains autocorrelation peaks sidelobe, crosscorrelation peaks and sumsignal(all channel signals superposition) correlation peaks sidelobe. The sumsignal correlation output is the integrated output of actual signal processing, and its sidelobe directly affect the performance of the radar target detection. The simulation results demonstrate that the method can design the strictly orthogonal and low integrated output sidelobe signal with the low contains autocorrelation peaks sidelobe and crosscorrelation peaks.