Log-spectral amplitude estimation with Generalized Gamma distributions for speech enhancement

This paper presents a family of log-spectral amplitude (LSA) estimators for speech enhancement. Generalized Gamma distributed (GGD) priors are assumed for speech short-time spectral amplitudes (STSAs), providing mathematical flexibility in capturing the statistical behavior of speech. Although solutions are not obtainable in closed-form, estimators are expressed as limits, and can be efficiently approximated. When applied to the Noizeus database [1], proposed estimators are shown to provide improvements in segmental signal-to-noise ratio (SSNR) and COSH distance [2], relative to the LSA estimator proposed by Ephraim and Malah [3].

[1]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[2]  Norbert Wiener,et al.  Extrapolation, Interpolation, and Smoothing of Stationary Time Series , 1964 .

[3]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[4]  A. Gray,et al.  Distance measures for speech processing , 1976 .

[5]  R. McAulay,et al.  Speech enhancement using a soft-decision noise suppression filter , 1980 .

[6]  David Malah,et al.  Speech enhancement using a minimum mean-square error log-spectral amplitude estimator , 1984, IEEE Trans. Acoust. Speech Signal Process..

[7]  I. Cohen.  Optimal speech enhancement under signal presence uncertainty using log-spectral amplitude estimator , 2002, IEEE Signal Processing Letters.

[8]  Peter Vary,et al.  Speech Enhancement by MAP Spectral Amplitude Estimation Using a Super-Gaussian Speech Model , 2005, EURASIP J. Adv. Signal Process..

[9]  Rainer Martin,et al.  Speech enhancement based on minimum mean-square error estimation and supergaussian priors , 2005, IEEE Transactions on Speech and Audio Processing.

[10]  Susanto Rahardja,et al.  /spl beta/-order MMSE spectral amplitude estimation for speech enhancement , 2005, IEEE Transactions on Speech and Audio Processing.

[11]  Yi Hu,et al.  Subjective comparison and evaluation of speech enhancement algorithms , 2007, Speech Commun..

[12]  Jesper Jensen,et al.  Minimum Mean-Square Error Estimation of Discrete Fourier Coefficients With Generalized Gamma Priors , 2007, IEEE Transactions on Audio, Speech, and Language Processing.

[13]  Eric Plourde,et al.  Auditory-Based Spectral Amplitude Estimators for Speech Enhancement , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[14]  Maurice Kendall,et al.  Time Series , 2009, Encyclopedia of Biometrics.

[15]  Jesper Jensen,et al.  Log-spectral magnitude MMSE estimators under super-Gaussian densities , 2009, INTERSPEECH.

[16]  Ephraim.  Speech enhancement using a minimum mean square error short-time spectral amplitude estimator , 1984 .