干扰条件下空域及空时自相关矩阵特征值分布特性研究  

Study of Eigenvalue Distribution of Spatial and Spatial Temporal Correction Matrix Under Interference

作　　者：戴鑫志 聂俊伟[1] 鲁祖坤[1] 欧钢[1] 

机构地区：[1]国防科学技术大学电子科学与工程学院卫星导航定位技术工程研究中心,长沙410073

出　　处：《全球定位系统》2016年第3期44-50,共7页Gnss World of China

摘　　要：空域及空时自相关矩阵的特征值分布与干扰源的性质密切相关。通过研究干扰与特征值分布特性的关系,可以分析得出干扰源的个数等信息,为后续处理提供先验信息。在信号的窄带和宽带模型下,从理论角度分析了空域及空时自相关矩阵特征值的分布特性,并通过仿真实验加以验证。得到了窄带模型下空域自相关矩阵特征值分布的具体形式,总结了信号宽带模型下特征值分布规律,分析了利用特征值分布估计干扰源个数的可行性,结果表明:空域自相关矩阵大特征值的个数是对干扰个数的较好估计,但其准确度受到干扰源功率及其空间分布的影响。The characteristics of eigenvalue distribution of spatial and spatial temporal correction matrix are closely related to the interference.Through analyzing the relationship between eigenvalues distribution and interference,we can obtain some information of interference such as the numbers of interference source,and the priori information obtained can be used for the following processing.This paper analyzed the characteristics of eigenvalue distribution of spatial and spatial temporal correction matrix in the narrowband and wideband signal model,and proved the conclusions through simulation.The mathematical expressions of eigenvalue distribution of spatial correction matrix are obtained in narrowband signal model and the characteristics of eigenvalue distribution in wideband signal model are summarized.This paper also analyzed the possibility of estimating the numbers of interference source with the eigenvalue distribution.And the results show that the numbers of larger eigenvalue of spatial correction matrix is a good estimate of the numbers of interference source,but its accuracy is influenced by the spatial distribution of interference.

关 键 词：干扰 自相关矩阵 特征值分布 

分 类 号：P288.4[天文地球—地图制图学与地理信息工程]