English

A Noise-Robust Method with Smoothed \ell_1/\ell_2 Regularization for Sparse Moving-Source Mapping

Data Analysis, Statistics and Probability 2016-04-13 v1 Information Theory math.IT

Abstract

The method described here performs blind deconvolution of the beamforming output in the frequency domain. To provide accurate blind deconvolution, sparsity priors are introduced with a smooth \ell_1/\ell_2 regularization term. As the mean of the noise in the power spectrum domain is dependent on its variance in the time domain, the proposed method includes a variance estimation step, which allows more robust blind deconvolution. Validation of the method on both simulated and real data, and of its performance, are compared with two well-known methods from the literature: the deconvolution approach for the mapping of acoustic sources, and sound density modeling.

Keywords

Cite

@article{arxiv.1604.03450,
  title  = {A Noise-Robust Method with Smoothed \ell_1/\ell_2 Regularization for Sparse Moving-Source Mapping},
  author = {Mai Quyen Pham and Benoit Oudompheng and Jérôme I. Mars and Barbara Nicolas},
  journal= {arXiv preprint arXiv:1604.03450},
  year   = {2016}
}
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