Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the
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Abstract
This paper introduces two short-time spectral amplitude
estimators for speech enhancement with multiple microphones.
Based on joint Gaussian models of speech and noise Fourier
coefficients, the clean speech amplitudes are estimated with
respect to the MMSE or the MAP criterion. The estimators
outperform single microphone minimum mean square amplitude
estimators when the speech components are highly correlated and
the noise components are sufficiently uncorrelated. Whereas the
first MMSE estimator also requires knowledge of the direction of
arrival, the second MAP estimator performs a
direction-independent noise reduction. The estimators are
generalizations of the well-known single channel MMSE estimator
derived by Ephraim and Malah (1984) and the MAP
estimator derived by Wolfe and Godsill (2001),
respectively.