A New Analysis for Support Performance with Block Generalized Orthogonal Matching Pursuit

For recovering block-sparse signals with unknown block structures using compressive sensing, a block orthogonal matching pursuit- (BOMP-) like block generalized orthogonal matching pursuit (BgOMP) algorithm has been proposed recently. This paper focuses on support conditions of recovery of any K-spa...

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Bibliographic Details
Published in:Mathematical problems in engineering 2021, Vol.2021, p.1-7
Main Authors: Xia, C. Y., Zhou, Z. L., Guo, Chun-Bo, Hao, Y. S., Hou, C. B.
Format: Article
Language:English
Subjects:
Algorithms
Deoxyribonucleic acid
DNA
Engineering
Matched pursuit
Matching
Pattern recognition
Recovery
Signal processing
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Summary:For recovering block-sparse signals with unknown block structures using compressive sensing, a block orthogonal matching pursuit- (BOMP-) like block generalized orthogonal matching pursuit (BgOMP) algorithm has been proposed recently. This paper focuses on support conditions of recovery of any K-sparse block signals incorporating BgOMP under the framework of restricted isometry property (RIP). The proposed support conditions guarantee that BgOMP can achieve accurate recovery block-sparse signals within k iterations.
ISSN:1024-123X
1563-5147
DOI:10.1155/2021/9438793