@article {Jukić1572_2015, year = {2015}, author = {Jukić, Ante and Waterschoot, Toon and Gerkmann, Timo and Doclo, Simon}, title = {Multi-Channel Linear Prediction-Based Speech Dereverberation With Sparse Priors}, journal = {IEEE Trans. Aud. Sp. Lang. Proc.}, volume = {23}, number = {9}, DOI = {10.1109/TASLP.2015.2438549}, ISSN = { 2329-9290 }, URL = {http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=7113816&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D7113816}, abstract = {The quality of speech signals recorded in an enclosure can be severely degraded by room reverberation. In this paper, we focus on a class of blind batch methods for speech dereverberation in a noiseless scenario with a single source, which are based on multi-channel linear prediction in the short-time Fourier transform domain. Dereverberation is performed by maximum-likelihood estimation of the model parameters that are subsequently used to recover the desired speech signal. Contrary to the conventional method, we propose to model the desired speech signal using a general sparse prior that can be represented in a convex form as a maximization over scaled complex Gaussian distributions. The proposed model can be interpreted as a generalization of the commonly used time-varying Gaussian model. Furthermore, we reformulate both the conventional and the proposed method as an optimization problem with an ${ell _p}$ -norm cost function, emphasizing the role of sparsity in the considered speech dereverberation methods. Experimental evaluation in different acoustic scenarios show that the proposed approach results in an improved performance compared to the conventional approach in terms of instrumental measures for speech quality.} }