Alpha-Stable Low-Rank Plus Residual Decomposition for Speech Enhancement

Umut Simsekli; Halil Erdogan; Simon Leglaive; Antoine Liutkus; Roland Badeau; Gaël Richard

ICASSP 2018accepted0 citations

Alpha-Stable Low-Rank Plus Residual Decomposition for Speech Enhancement

Umut Simsekli, Halil Erdogan, Simon Leglaive, Antoine Liutkus, Roland Badeau, Gaël Richard

Abstract

In this study, we propose a novel probabilistic model for separating clean speech signals from noisy mixtures by decomposing the mixture spectra into a structured speech part and a more flexible residual part. The main novelty in our model is that it uses a family of heavy-tailed distributions, so called the α-stable distributions, for modeling the residual signal. We develop an expectation-maximization algorithm for parameter estimation and a Monte Carlo scheme for posterior estimation of the clean speech. Our experiments show that the proposed method outperforms relevant factorization-based algorithms by a significant margin.

BibTeX

@inproceedings{icassp2018_alphastablelowra,
  title = {Alpha-Stable Low-Rank Plus Residual Decomposition for Speech Enhancement},
  author = {Umut Simsekli and Halil Erdogan and Simon Leglaive and Antoine Liutkus and Roland Badeau and Gaël Richard},
  booktitle = {ICASSP 2018},
  year = {2018}
}