Title :

Bayesian Compressive Sensing for Cluster Structured Sparse Signals

Author(s) :

Yu, Lei [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]
Sun, Hong [Auteur]
Barbot, Jean-Pierre [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]
Zheng, Gang [Auteur]
Non-Asymptotic estimation for online systems [NON-A]

Journal title :

Signal Processing

Pages :

259-269

Publisher :

Elsevier

Publication date :

2012-01-01

ISSN :

0165-1684

English keyword(s) :

Compressive sensing
Cluster structured sparse signals
Hierarchical Bayesian model
MCMC

HAL domain(s) :

Sciences de l'ingénieur [physics]/Traitement du signal et de l'image [eess.SP]
Informatique [cs]/Traitement du signal et de l'image [eess.SP]

English abstract : [en]

In traditional framework of compressive sensing (CS), only sparse prior on the property of signals in time or frequency domain is adopted to guarantee the exact inverse recovery. Other than sparse prior, structures on the ...
Show more >In traditional framework of compressive sensing (CS), only sparse prior on the property of signals in time or frequency domain is adopted to guarantee the exact inverse recovery. Other than sparse prior, structures on the sparse pattern of the signal have also been used as an additional prior, called model-based compressive sensing, such as clustered structure and tree structure on wavelet coefficients. In this paper, the cluster structured sparse signals are investigated. Under the framework of Bayesian compressive sensing, a hierarchical Bayesian model is employed to model both the sparse prior and cluster prior, then Markov Chain Monte Carlo (MCMC) sampling is implemented for the inference. Unlike the state-of-the-art algorithms which are also taking into account the cluster prior, the proposed algorithm solves the inverse problem automatically--prior information on the number of clusters and the size of each cluster is unknown. The experimental results show that the proposed algorithm outperforms many state-of-the-art algorithms.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL