Bayesian Hypothesis Testing for Block Sparse Signal Recovery

Mehdi Korki; Hadi Zayyani; Jingxin Zhang

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arXiv · 1508.05495

Bayesian Hypothesis Testing for Block Sparse Signal Recovery

Mehdi Korki·Hadi Zayyani·Jingxin Zhang

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Abstract

This letter presents a novel Block Bayesian Hypothesis Testing Algorithm (Block-BHTA) for reconstructing block sparse signals with unknown block structures. The Block-BHTA comprises the detection and recovery of the supports, and the estimation of the amplitudes of the block sparse signal. The support detection and recovery is performed using a Bayesian hypothesis testing. Then, based on the detected and reconstructed supports, the nonzero amplitudes are estimated by linear MMSE. The effectiveness of Block-BHTA is demonstrated by numerical experiments.

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Mehdi Korki, Hadi Zayyani, Jingxin Zhang. 2015-08-22. Bayesian Hypothesis Testing for Block Sparse Signal Recovery. https://arxiv.org/abs/1508.05495

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