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arXiv · 1902.09151

Identifiability Conditions for Multi-channel Blind Deconvolution with Short Filters

Antoine Paris·Laurent Jacques
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Abstract

This work considers the multi-channel blind deconvolution problem under the assumption that the channels are short. First, we investigate the ill-posedness issues inherent to blind deconvolution problems and sufficient and necessary conditions on the channels that guarantee well-posedness are derived. Following previous work on blind deconvolution, the problem is then reformulated as a low-rank matrix recovery problem and solved by nuclear norm minimization. Numerical experiments show the effectiveness of this algorithm under a certain generative model for the input signal and the channels, both in the noiseless and in the noisy case.

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BibTeXRIS

Antoine Paris, Laurent Jacques. 2019-02-25. Identifiability Conditions for Multi-channel Blind Deconvolution with Short Filters. https://arxiv.org/abs/1902.09151

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