存在近场辐射源情况下的阵列流形建模及分辨性能分析  

Array Manifold Modeling and Resolution Performance Analysis in Presence of Near-Field Sources

作　　者：宋嘉奇 王露[1] 王珏[1] SONG Jiaqi;WANG Lu;WANG Jue

机构地区：[1]中国电子科技集团公司第二十研究所,西安710068

出　　处：《现代导航》2021年第1期60-66,共7页Modern Navigation

摘　　要：当辐射源位于天线阵列的近场区域时,信号波阵面在天线阵列的孔径渡越无法忽略,此时电磁波信号到达阵列的波前需要用球面波模型进行描述。本文针对这种情况,研究了传感器阵列的一项固有属性——近场阵列流形,首先构建了任意N元阵列的近场阵列流形数学模型,其次利用微分几何对近场阵列流形的局部特性进行了分析,推导出了近场阵列流形弧长和一阶曲率的数学表达式,并利用这两种局部特性参数分析了近场辐射源参数估计的精度及分辨性能。When the radiating sources are located in the near-field of the antenna array,the aperture transition of signal wave fronts across the array can’t be ignored.Then the wave fronts of electromagnetic wave signal reaching the array should be described by the spherical wave model.This thesis carried out a series of researches about the inherent attribute of sensor array—near-field array manifold under this assumption.The mathematical model of manifold of N-elements array receiving near-field signals is constructed.Then the local characteristics of near-field array manifold are studied by using differential geometry.The mathematical expressions of the near-field array manifold arc length and the first-order curvature are given.Finally,the precision and resolution performance of near-field parameter estimation is analyzed by using these two local characteristic parameters.

关 键 词：近场阵列流形 球面波模型 微分几何 克拉美罗界 

分 类 号：TN911[电子电信—通信与信息系统]