正交投影阵列信号子空间估计方法

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (9): 2063-2066.

正交投影阵列信号子空间估计方法

张立杰, 黄建国, 史文涛, 侯云山

西北工业大学航海学院, 陕西, 西安, 710072

收稿日期:2008-07-03 修回日期:2009-02-26 出版日期:2009-09-20 发布日期:2010-01-03
作者简介:张立杰(1981- ),男,博士研究生,主要研究方向为阵列信号处理、统计信号处理.E-mail:zlj416@hotmail.com
基金资助:
国家自然科学基金(60572098);西北工业大学基础研究基金(NPU-FFR-W018102)资助课题

Orthogonal projection method for array signal subspace estimation

ZHANG Li-jie, HUANG Jian-guo, SHI Wen-tao, HOU Yun-shan

School of Marine Engineering, Northwestern Polytechnical Univ., Xi’an 710072, China

Received:2008-07-03 Revised:2009-02-26 Online:2009-09-20 Published:2010-01-03

摘要/Abstract

摘要： 利用特征值分解构造信号子空间存在运算量大的问题,制约了子空间类参数估计方法的实时应用。提出一种新的正交投影阵列信号子空间估计方法,该方法不需要特征值分解,通过对阵列接收数据逐级进行正交投影分解构造阵列信号子空间的一组基向量,使得每个基向量方向上信号投影能量最大,从而保证所张成的信号子空间包含最大的信号能量。定义了衡量子空间估计精度的信号和噪声子空间估计误差函数。理论分析和仿真结果表明,所提方法计算复杂度低,且子空间估计精度优于特征值分解。

Abstract: To lower the high computational burden caused by the eigenvalue decomposition(EVD) based subspace estimation methods,a new orthogonal projection(OP) based fast subspace estimation method is proposed.Basis of the subspace is calculated iteratively by OP without EVD.The signal energy in each basis direction is maximized to guarantee the maximum signal energy in the spanned signal-subspace.The signal-subspace estimation error function and the noise-subspace estimation error function are defined to evaluate subspace estimation performance.Theoretical analysis and simulation results show that the OP algorithm is computationally simple and with even-better subspace estimation performance compared with EVD.

中图分类号:

TN911

张立杰, 黄建国, 史文涛, 侯云山. 正交投影阵列信号子空间估计方法[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2063-2066.

ZHANG Li-jie, HUANG Jian-guo, SHI Wen-tao, HOU Yun-shan. Orthogonal projection method for array signal subspace estimation[J]. Journal of Systems Engineering and Electronics, 2009, 31(9): 2063-2066.

参考文献

[1] 张立杰,黄建国.金勇,等.基于噪声子空间二阶锥规划求解的宽带波达方向估计算法[J].西北工业大学学报,2008,26(3):282-287.
[2] 黄可生,周一宇,张国柱,等.基于Krylov子空间的宽带信号DOA快速估计方法[J].宇航学报,2005,26(4):461-465.
[3] 淦华东,李志舜,李乐,等.基于自适应子空间估计的DOA跟踪算法[J].声学技术,2004,23(4):214-217.
[4] Macinnes C.Source localization using subspace estimation and spatial filtering[J].IEEE Journal of Oceanic Engineering,2004,29(2):488-497.
[5] 于蕾,杨莘元.基于子空间法的盲信道和半盲信道估计方法[J].北京邮电大学学报,2008,31(3):29-32.
[6] 朱义勇,姚富强,赵丽屏,等.基于广义特征子空间快速估汁的语音增强算法[J].声学与电子工程,2007,88(4):38-40.
[7] 庞世伟,于开平,邹经湘.用于时变结构模态参数识别的投影估计递推子空间方法[J].工程力学,2005,22(5):115-119.
[8] Nascimento J M,Bioucas-dias J M.Uyperspectral signal subspace estimation E C]//IEEE International Geoscience and Remote Sensing Symposium,2007:3225-3228.
[9] Acito N,Corsini G,Diani M,et al.A novel technique for hyperspectral signal subspace estimation in target detection applications[C]//IEEE International Geoscience and Remote Sensing Symposium,2008(3):95-98.
[10] Xu F,W A N.Efficient hardware architectures for eigenvector and signal subspace estimation[J].IEEE Trans.on Circuits and Systems,2004,51(3):517-528.
[11] Yang L,Attallah S,Mathew G.Stable noise subspace estimation algorithm suitable for vlsi implementation[C]//IEEE Workshop on Signal Processing Systems,2007:579-583.
[12] Doukopoulos X G,Moustakides G V.Fast and stable subspace tracking[J].IEEE Trans.on Signal Processing,2008,56(4):1452-1465.
[13] 黄磊,吴顺君,张林让,等.快速子空间分解方法及其维数的快速估计[J].电子学报,2005,33(6):977-981.
[14] 黄磊.吴顺君,张林让.采用lanczos算法快速估计噪声子空间[J].电子与信息学报,2006,28(1):21-25.
[15] Jingmin X,A S.Computationally efficient subspace-based method for direction-of-arrival estimation without eigendeeomposition[J].IEEE Trans.on Signal Processing,2004,52(4):876-893.
[16] Grover R,Pados D A,Medley M J.Subspace direction finding with an auxiliary-vector basis[J].IEEE Trans.on Signal Processing,2007,55(2):758-763.