六边形格点毫米波干涉阵列的稀疏与优化

Design and optimization of sparse MMW synthesis apeture imaging arrays on hexagonal grids

研究了六边形格点干涉阵列的阵列稀疏和优化。通过阵列配置矩阵及其自相关矩阵和互相关矩阵,分析了六边形格点阵列的UV平面采样点分布规律,推导得到了六边形格点阵列实现UV平面采样点全覆盖的条件,并将六边形格点阵列的稀疏优化转化为矩形格点阵列的稀疏优化问题。利用差基序列低冗余度特性,提出了基于差基的六边形格点阵列稀疏与优化方法。仿真分析结果表明,采用所提方法得到的稀疏阵列,其冗余度优于经典X形阵。

Design and optimization of sparse millimeter wave （MMW）synthesis apeture imaging arrays on hexagonal grids are researched.The arrangement of sparse arrays can be represented by the configuration ma-trix.Using the auto-correlation matrix and the cross-correlation matrix of the configuration matix,distribution of sampling points in the UV plane of hexagonal array is analyzed,and conditions for sampling points covering the whole UV plane are deduced.Then,the question is converted to design and optimization of a sparse rectan-gular array.With the virtue of low redundancy,difference basis series are used to design hexagonal arrays,and a method to construct an optimized sparse hexagonal array is presented.Theoretical analysis and simulation show that redundancy of the optimized hexagonal array is lower than that of a typical X style array.