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A New Analysis for Support Performance with Block Generalized Orthogonal Matching Pursuit
Author(s) -
Chaoyu Xia,
Zhengchun Zhou,
Chun-Bo Guo,
Yuhan Hao,
Chen Hou
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/9438793
Subject(s) - matching pursuit , block (permutation group theory) , restricted isometry property , compressed sensing , matching (statistics) , isometry (riemannian geometry) , algorithm , mathematics , property (philosophy) , computer science , combinatorics , pure mathematics , statistics , philosophy , epistemology
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 - 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 iterations.

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