An iterative bayesian algorithm for block-sparse signal reconstruction
Mehdi Korki, Jingxin Zhang, Cishen Zhang, Hadi Zayyani
Abstract
This paper presents a novel iterative Bayesian algorithm, Block Iterative Bayesian Algorithm (Block-IBA), for reconstructing block-sparse signals with unknown block structures. Unlike the other existing algorithms for block sparse signal recovery which assume the cluster structure of the non-zero elements of the unknown signal to be independent and identically distributed (i.i.d.), we use a more realistic Bernoulli-Gaussian hidden Markov model (BGHMM) to capture the burstiness (block structure) of the impulsive noise in practical applications such as Power Line Communication (PLC). The Block-IBA iteratively estimates the amplitudes and positions of the block-sparse signal based on Expectation-Maximization (EM) algorithm which is also optimized with the steepest-ascent method. Simulation results show the effectiveness of our algorithm for block-sparse signal recovery.
BibTeX
@inproceedings{icassp2015_aniterativebayes,
title = {An iterative bayesian algorithm for block-sparse signal reconstruction},
author = {Mehdi Korki and Jingxin Zhang and Cishen Zhang and Hadi Zayyani},
booktitle = {ICASSP 2015},
year = {2015}
}