一种稀布矩形平面阵的多约束优化方法  

An optimum method of sparse planar arrays with rectangular boundary

作　　者：刘恒[1] 赵宏伟[1] 李维梅 刘波[1] 

机构地区：[1]中国空间技术研究院西安分院,西安710100

出　　处：《电波科学学报》2016年第3期522-527,共6页Chinese Journal of Radio Science

基　　金：国家自然科学基金(No.61201089);国家重点实验室基金(9140C530101130C53013)

摘　　要：针对矩形孔径平面稀布阵的多约束优化问题(包括阵元数、阵列孔径和最小阵元间距约束),提出了一种基于矩阵映射的差分进化算法.该方法把差分进化算法的优化变量与阵元位置坐标按照特定的关系进行矩阵映射,使含有多约束的阵元分布优化问题转换为仅含差分进化算法优化变量上、下限约束的优化问题,从根本上避免了进化过程中的不可行解.通过抑制阵列峰值副瓣电平进行仿真实验,结果显示了该算法的高效性和稳健性,且能获得比现有方法更好的优化结果.This paper proposes an array antenna synthesis technique based on differential evolution（DE）with matrix mapping for sparse rectangular planar arrays with multiple constraints.The constraints include the number of elements,the array aperture,and the minimum spacing between adjacent elements.With a novel matrix mapping between the element spacings and the variables of DE,the strong constrained optimization problem is simply transformed to an optimization problem with only lower and upper limit,and the infeasible solutions are naturally avoided.Simulation results confirm the great efficiency and the robustness of the proposed method and show that our method can achieve better results than the existing methods.

关 键 词：阵列天线 稀布阵 峰值副瓣电平 差分进化算法 约束优化 

分 类 号：TN820.1[电子电信—信息与通信工程]