基于改进差分进化算法的天线阵列优化研究

摘要

针对具有阵元数目、孔径尺寸以及最小阵元间距约束,以抑制峰值旁瓣电平(PSLL),使非均匀阵列单元得到优化布局.优化过程中由于搜索空间较大,优化结果可能出现不可行解.为有效地解决以上两个问题,提出了一种改进的差分进化算法,采用实值编码,通过使用新的个体描述方式,减小了优化搜索空间;同时通过改造适应度函数,避免了变异交叉后出现不可行解.给出了改进算法的流程,通过仿真实例验证了算法的有效性和稳健性.仿真结果表明,改进方法在有最小阵元间距约束下以抑制峰值旁瓣电平为目的的非均匀阵列单元优化布局问题中有良好的应用前景.%For the optimization of non-uniform array aimed at suppressing the peak side-lobe level (PSLL) with the constraints of element numbers,aperture size and minimum element spacing,the size of the searching area is large and an infeasible solution during mutation and crossover may appears.To solve these two problems,a modified differential evolution (MDE) was proposed in this paper.Utilizing real valued coding,the new method of individual description can reduce the size of the searching area of DE,and the new fitness function can avoid the appearance of the infeasible solution during mutation and crossover.The process of the modified differential evolution was given in this paper,and the effectiveness and the robustness of the algorithm were demonstrated through simulation examples.Good simulation results show that the modified algorithm has a good prospect in the cases of the optimization of nonuniform array aimed at suppressing the PSLL with the constraint of minimum element spacing.