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Blind deconvolution of sparse pulse sequences under a minimum distance constraint: a partially collapsed Gibbs sampler method

Kail, Georg and Tourneret, Jean-Yves and Hlawatsch, Franz and Dobigeon, Nicolas Blind deconvolution of sparse pulse sequences under a minimum distance constraint: a partially collapsed Gibbs sampler method. (2012) IEEE Transactions on Signal Processing, vol. 60 (n° 6). pp. 2727-2743. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2012.2190066

Abstract

For blind deconvolution of an unknown sparse sequence convolved with an unknown pulse, a powerful Bayesian method employs the Gibbs sampler in combination with a Bernoulli–Gaussian prior modeling sparsity. In this paper, we extend this method by introducing a minimum distance constraint for the pulses in the sequence. This is physically relevant in applications including layer detection, medical imaging, seismology, and multipath parameter estimation. We propose a Bayesian method for blind deconvolution that is based on a modified Bernoulli–Gaussian prior including a minimum distance constraint factor. The core of our method is a partially collapsed Gibbs sampler (PCGS) that tolerates and even exploits the strong local dependencies introduced by the minimum distance constraint. Simulation results demonstrate significant performance gains compared to a recently proposed PCGS. The main advantages of the minimum distance constraint are a substantial reduction of computational complexity and of the number of spurious components in the deconvolution result.

Item Type:Article
Additional Information:Thanks to IEEE. The original publication is available at http://ieeexplore.ieee.org/
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Other partners > Technische Universität Wien - TU Wien (AUSTRIA)
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
Laboratory name:
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Deposited By: Nicolas DOBIGEON
Deposited On:14 May 2012 13:41

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