This paper considers the estimation of signal parameters and their enh
ancement using an approach based on the estimation-maximation (EM) alg
orithm, when only noisy observation data are available. The algorithm
is derived with an application to speech signals. The distribution of
the excitation source for the speech signal is assumed as a mixture of
two Gaussian probability distribution functions with differing varian
ces. This mixture assumption is experimentally valid in enhancing nois
e-corrupted speech, We recursively estimate the signal parameters and
analyze the characteristics of its excitation source in a sequential m
anner. In the maximum likelihood estimation scheme we utilize the EM a
lgorithm, and employ a detection and an estimation step for the parame
ters. For their enhancement we use a Kalman filter for the parameters
obtained from the estimation procedure, Simulation results using synth
etic and real speech data confirm the improved performance of our algo
rithm in noisy situations, with an increase of about 3 dB in terms of
output SNR compared to conventional Gaussian assumption. The proposed
algorithm also may be noteworthy in that it needs no voiced/unvoiced d
ecision logic, thanks to the use of the residual approach in the speec
h signal model.