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Title: Alternative to extended block sparse Bayesian learning and its relation to pattern-coupled sparse Bayesian learning
Authors: Wang, Lu
Zhao, Lifan
Rahardja, Susanto
Bi, Guoan
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: Wang, L., Zhao, L., Rahardja, S., & Bi, G. (2018). Alternative to extended block sparse Bayesian learning and its relation to pattern-coupled sparse Bayesian learning. IEEE Transactions on Signal Processing, 66(10), 2759-2771. doi:10.1109/tsp.2018.2816574
Journal: IEEE Transactions on Signal Processing
Abstract: We consider the problem of recovering block sparse signals with unknown block partition and propose a better alternative to the extended block sparse Bayesian learning (EBSBL). The underlying relationship between the proposed method EBSBL and pattern-coupled sparse Bayesian learning (PC-SBL) is explicitly revealed. The proposed method adopts a cluster-structured prior for sparse coefficients, which encourages dependencies among neighboring coefficients by properly manipulating the hyperparameters of the neighborhood. Due to entanglement of the hyperparameters, a joint sparsity assumption is made to yield a suboptimal analytic solution. The alternative algorithm avoids high dictionary coherence in EBSBL, reduces the unknowns of EBSBL, and explains the effectiveness of EBSBL. The proposed algorithm also avoids the vulnerability of parameter choice in PC-SBL. Results of comprehensive simulations demonstrate that the proposed algorithm achieves performance that is close to the best performance of PC-SBL. In addition, it outperforms EBSBL and other recently reported algorithms particularly under noisy and low sampling scenarios.
ISSN: 1053-587X
DOI: 10.1109/TSP.2018.2816574
Rights: © 2018 IEEE. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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