REPORT Garner_Idiap-RR-08-2009/IDIAP A MAP Approach to Noise Compensation of Speech Garner, Philip N. EXTERNAL http://publications.idiap.ch/attachments/reports/2009/Garner_Idiap-RR-08-2009.pdf PUBLIC Idiap-RR-08-2009 2009 Idiap June 2009 We show that estimation of parameters for the popular Gaussian model of speech in noise can be regularised in a Bayesian sense by use of simple prior distributions. For two example prior distributions, we show that the marginal distribution of the uncorrupted speech is non-Gaussian, but the parameter estimates themselves have tractable solutions. Speech recognition experiments serve to suggest values for hyper-parameters, and demonstrate that the theory is practically applicable.