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

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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… Click to show full abstract

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.

Keywords: block; matching pursuit; block generalized; generalized orthogonal; orthogonal matching

Journal Title: Mathematical Problems in Engineering
Year Published: 2021

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