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

Parameters of vector-sensor array was estimated based on Hamilton quaternion. First,the theory and computa-tion method of right eigenvalue decomposition of Hamilton quaternion matrix was introduced in detail. Then,duplicate relation function (relation function of related function) of Hamilton quater...

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Main Authors: WANG Fei1, WANG Shu-xun2, ZHANG Kun-lei2
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2008-01-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/74656490/
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author WANG Fei1
WANG Shu-xun2
ZHANG Kun-lei2
author_facet WANG Fei1
WANG Shu-xun2
ZHANG Kun-lei2
author_sort WANG Fei1
collection DOAJ
description Parameters of vector-sensor array was estimated based on Hamilton quaternion. First,the theory and computa-tion 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.
format Article
id doaj-art-2b266ed2bec14e8bb77624d92a4a9f9b
institution Kabale University
issn 1000-436X
language zho
publishDate 2008-01-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-2b266ed2bec14e8bb77624d92a4a9f9b2025-01-14T08:33:02ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2008-01-0113314074656490Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSICWANG Fei1WANG Shu-xun2ZHANG Kun-lei2Parameters of vector-sensor array was estimated based on Hamilton quaternion. First,the theory and computa-tion 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.http://www.joconline.com.cn/zh/article/74656490/parameters estimationvector-sensor arrayquaternion-MUSICHamilton
spellingShingle WANG Fei1
WANG Shu-xun2
ZHANG Kun-lei2
Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
Tongxin xuebao
parameters estimation
vector-sensor array
quaternion-MUSIC
Hamilton
title Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
title_full Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
title_fullStr Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
title_full_unstemmed Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
title_short Parameters estimation of vector-sensor array in colored noise based on quaternion-MUSIC
title_sort parameters estimation of vector sensor array in colored noise based on quaternion music
topic parameters estimation
vector-sensor array
quaternion-MUSIC
Hamilton
url http://www.joconline.com.cn/zh/article/74656490/
work_keys_str_mv AT wangfei1 parametersestimationofvectorsensorarrayincolorednoisebasedonquaternionmusic
AT wangshuxun2 parametersestimationofvectorsensorarrayincolorednoisebasedonquaternionmusic
AT zhangkunlei2 parametersestimationofvectorsensorarrayincolorednoisebasedonquaternionmusic