Markov chain Monte Carlo methods for speech enhancement

This paper investigates a Bayesian approach to the enhancement of speech signals corrupted by additive white Gaussian noise. Parametric models for the speech and noise processes are constructed, leading to a posterior distribution for the model parameters and uncorrupted speech samples given the observed noisy speech samples. Being analytically intractable, inferences concerning these variables are performed using Markov chain Monte Carlo (MCMC) methods. The efficiency of the sampling scheme within this framework is further improved by employing state-space techniques based on the Kalman filter