色噪声背景下基于四元数MUSIC方法的矢量阵列信号参量估计  

Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC

作　　者：汪飞[1] 王树勋[2] 张坤雷[2] 

机构地区：[1]南京航空航天大学信息科学与技术学院,江苏南京210016 [2]吉林大学通信工程学院,吉林长春130012

出　　处：《通信学报》2008年第5期133-140,共8页Journal on Communications

基　　金：国家自然科学基金资助项目(60572069);博士点专项基金资助项目(20050183073);南京航空航天大学科研创新基金资助项目(1004906363)~~

摘　　要：研究提取色噪声背景下以Hamilton四元数表示的二分量矢量阵列信号模型参量。首先详细说明了Hamilton四元数矩阵的右特征值分解理论及其具体的计算方法,然后构造了Hamilton四元数的二重相关函数(相关函数的再次相关函数),二重相关函数不仅能够有效地表征二分量矢量阵列信号参量,同时还可以抑制色噪声。最后,定义了二重相关函数的Toeplitz矩阵,利用介绍的四元数矩阵右特征值分解的计算方法得到信号子空间与噪声子空间,再利用噪声子空间与信号子空间的正交性采用四元数MUSIC的方法估计出信号参量。仿真对比实验说明此算法是有效的。Parameters of vector-sensor array was estimated based on Hamilton quaternion. First, the theory and computation method of right eigenvalue decomposition of Hamilton quaternion matrix was introduced in detail. Then, duplicate relation function （relation function of related function） of Hamilton quaternion was defined; it could not only express signal parameters but also restrain colored noise. Finally, Toeplitz matrix of duplicate relation function was constructed, and right eigenvalue decomposition was used to part signal subspace and noise subspace of this Toeplitz matrix. Signal parameters were estimated with quaternion-MUSIC method taking advantage of orthogonality between signal subspace and noise subspace. Some simulations illustrated the idea.

关 键 词：参数估计 矢量阵列信号 四元数MUSIC HAMILTON 

分 类 号：TN911.72[电子电信—通信与信息系统]