Speech Enhancement using Laplacian Mixture Model under Signal Presence Uncertainty

In this paper an estimator for speech enhancement based on Laplacian Mixture Model has been proposed. The proposed method, estimates the complex DFT coefficients of clean speech from noisy speech using the MMSE  estimator, when the clean speech DFT coefficients are supposed mixture of Laplacians and the DFT coefficients of  noise are assumed zero-mean Gaussian distribution. Furthermore, the MMSE estimator under speech presence uncertainty and the Laplacian Mixture Model were derived. It is shown that the proposed estimator has better performance than  three estimators based on single Gaussian and single Laplacian models. Also under speech presence uncertainty the results become better.