A Low-Complexity Method of Signal Subspace Fitting

HUANG Lei; ZHANG Lin-rang; WU Shun-jun

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A Low-Complexity Method of Signal Subspace Fitting

更新时间：2025-07-16

- A Low-Complexity Method of Signal Subspace Fitting
- Acta Electronica Sinica Vol. 33, Issue 6, Pages: 982-986(2005)
- 作者机构：
  
  西安电子科技大学雷达信号处理重点实验室,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.23
- Published：2005
- 稿件说明：
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HUANG Lei, ZHANG Lin-rang, WU Shun-jun. A Low-Complexity Method of Signal Subspace Fitting[J]. Acta Electronica Sinica, 2005, 33(6): 982-986.
DOI：

HUANG Lei, ZHANG Lin-rang, WU Shun-jun. A Low-Complexity Method of Signal Subspace Fitting[J]. Acta Electronica Sinica, 2005, 33(6): 982-986. DOI：

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.

Abstract

A low-complexity method for signal subspace fitting is proposed based on the multi-stage Wiener filter(MSWF) can span a constringent signal subspace

which is completely equivalent to the Krylov subspace.Secondly

a new criterion function for signal subspace fitting 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 in the case where the rank of the MSWF is much lower than the number of signals.Since finding the constringent signal subspace merely involves the forward recursion of the MSWF

does not need to estimate the array covariance matrix or compute its eigenvectors

the proposed method is computationally efficient.Finally

the effectiveness of the proposed approach is verified by numerical results.

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Related Institution

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