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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Format: | Article |
Language: | zho |
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Editorial Department of Journal on Communications
2008-01-01
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Series: | Tongxin xuebao |
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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 |