基于对称卷积的镜像综合孔径无混叠视场研究  

The aliase-free field of view of mirrored aperture synthesis based on symmetric convolution

作　　者：李育芳 朱四华[1] 尹肖云 陈晔[1] 刘丹丹[1] LI Yufang;ZHU Sihua;YIN Xiaoyun;CHEN Ye;LIU Dandan(Naval University of Engineering,Wuhan 430033,China)

机构地区：[1]海军工程大学,武汉430033

出　　处：《电波科学学报》2025年第1期132-140,共9页Chinese Journal of Radio Science

基　　金：国家自然科学基金(42205139)。

摘　　要：无混叠视场直接决定综合孔径可以观测的视场范围,对提升观测视场内的镜像综合孔径亮温图像质量具有重要意义。本文基于离散余弦变换(discrete cosine transform,DCT)域卷积定理,推导了镜像综合孔径的阵列因子,获得镜像综合孔径无混叠视场为综合孔径视场的1/2,此外,镜像综合孔径重建亮温图像可以表示为延拓的场景与延拓的阵列因子的乘积。利用仿真和现有的镜像综合孔径实验系统验证了一维和二维镜像综合孔径无混叠视场的理论正确性,本文研究方法可为提升镜像综合孔径亮温图像质量提供参考。The aliase-free field of view directly determines the field of view range that can be observed by the aperture synthesis,which is of great significance for improving the quality of brightness temperature images of mirrored aperture synthesis within the observation field.Therefore,based on the discrete cosine transform(DCT)domain convolution theorem,this article derives the array factor of the mirrored aperture synthesis and obtains that the aliasefree field of view of the mirrored aperture synthesis is half of that of the aperture synthesis.In addition,the reconstructed brightness temperature image of the mirrored aperture synthesis can be represented as the product of the extended scene and the extended array factor.Then,the theoretical correctness of the aliase-free field of view for onedimensional and two-dimensional mirrored aperture synthesis is verified using the simulations and existing mirrored aperture synthesis experimental systems.The research method in this paper can provide reference for improving the quality of brightness temperature images for mirrored aperture synthesis.

关 键 词：镜像综合孔径 综合孔径 离散余弦变换(DCT)域卷积定理 对称延拓 亮温图像重建 

分 类 号：TP722.6[自动化与计算机技术—检测技术与自动化装置]