一种低复杂度的信号子空间拟合的新方法  

A Low-Complexity Method of Signal Subspace Fitting

作　　者：黄磊[1] 张林让[1] 吴顺君[1] 

机构地区：[1]西安电子科技大学雷达信号处理重点实验室,陕西西安710071

出　　处：《电子学报》2005年第6期982-986,共5页Acta Electronica Sinica

基　　金：国家自然科学基金(No.60102005)

摘　　要：提出一种低复杂度的信号子空间拟合的新方法.证明了多级维纳滤波器的匹配滤波器(或降维矩阵的列矢量)可以张成一个压缩信号子空间.利用其与Krylov子空间等效这一特点,推导出信号子空间拟合一个新的基本公式,进而建立信号子空间拟合一个新的准则函数.分析表明,压缩信号子空间可以由降维矩阵的列矢量有效地张成,而且计算降维矩阵只需要多级维纳滤波器的若干步前向递推,所以本文方法的运算量和复杂度均较小.最后,计算机仿真验证了本文方法的有效性.A low-complexity method for signal subspace fitting is proposed based on the mu lti-stage Wiener filter(MSWF) can span a constringent signal subspace,which is completely equivalent to t he Krylov subspace.Secondly,a new criterion function for signal subspace fittin g is derived,and then a novel method for direction of arrival (DOA) estimation is developed.Analysis indicates that the proposed method can work very well even i n the case where the rank of the MSWF is much lower than the number of signals.S ince finding the constringent signal subspace merely involves the forward recurs ion of the MSWF,does not need to estimate the array covariance matrix or comput e its eigenvectors,the proposed method is computationally efficient.Finally,the effectiveness of the proposed approach is verified by numerical results.

关 键 词：降维 多级维纳滤波器 波达方向 信号子空间拟合 

分 类 号：TN911.23[电子电信—通信与信息系统]