Sparse reconstruction using distribution agnostic bayesian matching pursuit

Masood, Mudassir; Al-Naffouri, Tareq Y.

Sparse reconstruction using distribution agnostic bayesian matching pursuit

Type

Article

Authors

Masood, Mudassir

Al-Naffouri, Tareq Y.

KAUST Department

Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Electrical Engineering Program

Preprint Posting Date

2012-06-19

Date

2013-11

Abstract

A fast matching pursuit method using a Bayesian approach is introduced for sparse signal recovery. This method performs Bayesian estimates of sparse signals even when the signal prior is non-Gaussian or unknown. It is agnostic on signal statistics and utilizes a priori statistics of additive noise and the sparsity rate of the signal, which are shown to be easily estimated from data if not available. The method utilizes a greedy approach and order-recursive updates of its metrics to find the most dominant sparse supports to determine the approximate minimum mean-square error (MMSE) estimate of the sparse signal. Simulation results demonstrate the power and robustness of our proposed estimator. © 2013 IEEE.

Citation

Masood, M., & Al-Naffouri, T. Y. (2013). Sparse Reconstruction Using Distribution Agnostic Bayesian Matching Pursuit. IEEE Transactions on Signal Processing, 61(21), 5298–5309. doi:10.1109/tsp.2013.2278814

Acknowledgements

This work was funded in part by a CRG2 grant CRG_R2_13_ALOU_KAUST_2 from the Office of Competitive Research (OCRF) at King Abdullah University of Science and Technology (KAUST). The work of T.Y. Al-Naffouri was also supported by King Abdulaziz City for Science and Technology (KACST) through the Science & Technology Unit at King Fahd University of Petroleum & Minerals (KFUPM) through Project No. 09-ELE763-04 as part of the National Science, Technology and Innovation Plan.