Blind deconvolution using Bayesian methods with application to the dereverberation of speech

A blind deconvolution algorithm is presented to address the problem of the dereverberation of speech. A Bayesian algorithm is developed for estimating the source, and the problem of ill-conditioning due to long tails of an acoustic impulse response (AIR) is avoided by marginalizing out the unknown channel parameters. The initial samples of the MAP estimate are determined using a stochastic MCMC (Markov chain Monte Carlo) technique, and these estimates are then used in a sequential procedure for estimating the remaining signal. A filterbank implementation is used to reduce the large deconvolution problem into several smaller independent problems. Simulation results are presented to demonstrate the performance of the algorithm applied to the dereverberation of speech.