基于改进差分进化算法的合成孔径圆阵优化

Circular Array Optimization Based on Improved Differential Evolution Algorithm for Synthesis Aperture Radiometers

天线阵列设计是合成孔径辐射计的一项关键技术。圆阵可以实现零冗余基线分布,具有结构简单、易于与平台共形等特点,是当前广泛关注和应用的合成孔径辐射计天线阵列形式之一。针对以u-v覆盖均匀程度最大化为目标的合成孔径圆阵优化问题,利用一个新的目标函数,提出了一种基于改进差分进化算法的优化方法.新的目标函数具有计算量小和u-v覆盖均匀程度衡量精度高的优点,并且改进的算法可以保持种群规模。典型的数值仿真结果给出了16~40个天线单元的优化圆阵排列,验证了本文方法的有效性。

Antenna array design is a critical consideration in synthesis aperture radiometers. Circular array is one of the most practical array shapes under the spotlight, which has the advantages of non-redundant baseline distribution, simplic- ity of mechanical structure and conformal installation. In this paper, a circular array optimization method based on an im- proved differential evolution algorithm （DE） is proposed to solve the optimization problem maximizing u-v coverage uniformi- ty. A new simple but powerful fitness function and DE with population size keep strategy are introduced in the proposed meth- od. Representative numerical results are illustrated to validate the effectiveness of the proposed method. The obtained optimi- zation results for 16 -40 elements are also presented.