New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization

In view of the problems of inefficient in low SNR and less snapshots when using existing sources number estimation related algorithms,a new algorithm based on e<sub>1</sub>sparse regularization under space stationary noise was proposed to estimate the number of signal sources.The algorit...

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Main Authors: Fang-xiao JIN, Tian-shuang QIU, Peng WANG, Nan XIA, Jing-chun LI
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2016-10-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016198/
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author Fang-xiao JIN
Tian-shuang QIU
Peng WANG
Nan XIA
Jing-chun LI
author_facet Fang-xiao JIN
Tian-shuang QIU
Peng WANG
Nan XIA
Jing-chun LI
author_sort Fang-xiao JIN
collection DOAJ
description In view of the problems of inefficient in low SNR and less snapshots when using existing sources number estimation related algorithms,a new algorithm based on e<sub>1</sub>sparse regularization under space stationary noise was proposed to estimate the number of signal sources.The algorithm estimated the sources number by using the sparse representation of eigenvalues vectors with the suitable regularization parameter.Theoretical analysis and simulation results show that the algorithm can realize an accurate sources number estimation in low SNR and less snapshots.
format Article
id doaj-art-c2290836bbb446ecac5f4c466c92ae86
institution Kabale University
issn 1000-436X
language zho
publishDate 2016-10-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-c2290836bbb446ecac5f4c466c92ae862025-01-14T06:56:07ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2016-10-0137758059703907New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularizationFang-xiao JINTian-shuang QIUPeng WANGNan XIAJing-chun LIIn view of the problems of inefficient in low SNR and less snapshots when using existing sources number estimation related algorithms,a new algorithm based on e<sub>1</sub>sparse regularization under space stationary noise was proposed to estimate the number of signal sources.The algorithm estimated the sources number by using the sparse representation of eigenvalues vectors with the suitable regularization parameter.Theoretical analysis and simulation results show that the algorithm can realize an accurate sources number estimation in low SNR and less snapshots.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016198/sparse regularizationsources number estimationspace stationary noiseregularization parameter
spellingShingle Fang-xiao JIN
Tian-shuang QIU
Peng WANG
Nan XIA
Jing-chun LI
New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
Tongxin xuebao
sparse regularization
sources number estimation
space stationary noise
regularization parameter
title New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
title_full New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
title_fullStr New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
title_full_unstemmed New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
title_short New source number estimation algorithm based on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub></math></inline-formula>sparse regularization
title_sort new source number estimation algorithm based on inline formula math xmlns http www w3 org 1998 math mathml msub mi mathvariant script l mi mn 1 mn msub math inline formula sparse regularization
topic sparse regularization
sources number estimation
space stationary noise
regularization parameter
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2016198/
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AT nanxia newsourcenumberestimationalgorithmbasedoninlineformulamathxmlnshttpwwww3org1998mathmathmlmsubmimathvariantscriptlmimn1mnmsubmathinlineformulasparseregularization
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