Speech Enhancement Using a MMSE Short Time Spectral Amplitude Estimator with Laplacian Speech Modeling

Bin Chen, P.C. Loizou · 2006

This paper focuses on optimal estimators of the magnitude spectrum for speech enhancement. We present an analytical solution for estimating in the MMSE sense the magnitude spectrum when the clean speech DFT coefficients are modeled by a Laplacian distribution and the noise DFT coefficients are modeled by a Gaussian distribution. Furthermore, we derive the MMSE estimator under speech presence uncertainty and a Laplacian model. Results indicated that the Laplacian based MMSE estimator yielded less residual noise in the enhanced speech than the traditional Gaussian-based MMSE estimator.

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