📄 log_mmse.m
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function H = log_mmse(gamma,xihat)
% LOG_MMSE - MMSE log-spectral amplitude estimation (Ephraim & Malah, 1985)
% H = LOG_MMSE(GAMMA,XIHAT) returns the MMSE log-spectral amplitude
% estimation filter H given a posteriori signal-to-noise ratio (SNR)
% GAMMA and an estimate XIHAT of a priori SNR. GAMMA and XIHAT may be
% arrays but must be of equal dimension.
%
% References:
%
% Y. Ephraim and D. Malah. Speech enhancement using a minimum mean-square
% error log-spectral amplitude estimator. IEEE Transactions on Acoustics,
% Speech and Signal Processing, ASSP-33(2):443-445, April 1985.
% Author: Patrick J. Wolfe
% Signal Processing Group
% Cambridge University Engineering Department
% p.wolfe@ieee.org
%
% Copyright (c) 2000 by Patrick J. Wolfe
% $Revision: 1.2 $ $Date: 2001/01/24 13:08:05 $
% MMSE log-spectral amplitude estimation filter calculation
%
frac = xihat./(1+xihat);
upsilon = gamma.*frac;
H = frac.*exp(0.5.*expint(upsilon));
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