2017
DOI: 10.1109/tsipn.2016.2612120
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Decentralized Joint-Sparse Signal Recovery: A Sparse Bayesian Learning Approach

Abstract: Abstract-This work proposes a decentralized, iterative, Bayesian algorithm called CB-DSBL for in-network estimation of multiple jointly sparse vectors by a network of nodes, using noisy and underdetermined linear measurements. The proposed algorithm exploits the network wide joint sparsity of the unknown sparse vectors to recover them from significantly fewer number of local measurements compared to standalone sparse signal recovery schemes. To reduce the amount of inter-node communication and the associated o… Show more

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Cited by 34 publications
(13 citation statements)
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“…If the target is a sparse target, Orthogonal Matching Pursuit (OMP) algorithm [22] is more efficient. While the total variation (TV) regularization, such as the TVAL3 algorithm [23] and Sparse Bayesian Learning(SBL) algorithm [24] are worth considering when the target is extended target. The TVAL3 algorithm and SBL algorithm are also very effective for solving sparse targets.…”
Section: Numerical Experiments and Discussionmentioning
confidence: 99%
“…If the target is a sparse target, Orthogonal Matching Pursuit (OMP) algorithm [22] is more efficient. While the total variation (TV) regularization, such as the TVAL3 algorithm [23] and Sparse Bayesian Learning(SBL) algorithm [24] are worth considering when the target is extended target. The TVAL3 algorithm and SBL algorithm are also very effective for solving sparse targets.…”
Section: Numerical Experiments and Discussionmentioning
confidence: 99%
“…In addition, the unknown variables γ b for neighboring APs are coupled with each other. These obstacles make the problem intractable to solve and existing algorithms, e.g., [31] and [34], are not applicable to such a problem. In this paper, we aim to design a scheme which computes device state vectors of all APs independently to facilitate decentralized implementation.…”
Section: B a Decentralized Approximate Separating Strategymentioning
confidence: 99%
“…Belief propagation (BP) [ 35 ] is an iterative message passing algorithm that can calculate the marginal distribution or find estimates such as the most probable assignment (MAP) in Bayesian networks [ 36 , 37 ]. In the sparse signal recovery area, belief propagation is implemented on factor graphs and considered a fast decoder in Bayesian compressive sensing frameworks.…”
Section: Preliminaritiesmentioning
confidence: 99%