2013
DOI: 10.1109/tsp.2013.2241055
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Extension of SBL Algorithms for the Recovery of Block Sparse Signals With Intra-Block Correlation

Abstract: Abstract-We examine the recovery of block sparse signals and extend the recovery framework in two important directions; one by exploiting the signals' intra-block correlation and the other by generalizing the signals' block structure. We propose two families of algorithms based on the framework of block sparse Bayesian learning (BSBL). One family, directly derived from the BSBL framework, require knowledge of the block structure. Another family, derived from an expanded BSBL framework, are based on a weaker as… Show more

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Cited by 476 publications
(449 citation statements)
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“…Block sparse Bayesian learning-bound optimization (BSBL-BO) [11] was applied to restore x ො from the compressed EPSPs signal y. The compression ratio (CR) was calculated using…”
Section: Methodsmentioning
confidence: 99%
“…Block sparse Bayesian learning-bound optimization (BSBL-BO) [11] was applied to restore x ො from the compressed EPSPs signal y. The compression ratio (CR) was calculated using…”
Section: Methodsmentioning
confidence: 99%
“…For the first constraint, although many algorithms have been proposed to solve it, bSBL [17] is the only algorithm that investigated the intra-block correlation, which is based on sparse Bayesian learning to obtain the sparsest solution of a sparse reconstruction problem. Sparse Bayesian learning was proposed by Wipf and Rao [23] to discover the correlation of sparse coefficients.…”
Section: Structural Sparsity Of Remote Sensing Imagesmentioning
confidence: 99%
“…Sparse Bayesian learning was proposed by Wipf and Rao [23] to discover the correlation of sparse coefficients. Then, Zhang et al [17,18] continued their work and proposed the blocked version-bSBL, which will be introduced here. After learning the dictionary for image patches, the over-complete dictionary and corresponding coefficients are obtained.…”
Section: Structural Sparsity Of Remote Sensing Imagesmentioning
confidence: 99%
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“…A type-II maximum likelihood approximation employs a point estimate for α to maximize the approximate log marginal likelihood [21], [29], [30], [31], [32],…”
Section: Sparse Bayesian Classificationmentioning
confidence: 99%