Log-spectral magnitude MMSE estimators under super-Gaussian densities

Despite the fact that histograms of speech DFT coefficients are super-Gaussian, not much attention has been paid to develop estimators under these super-Gaussian distributions in combination with perceptual meaningful distortion measures. In this paper we present log-spectral magnitude MMSE estimators under super-Gaussian densities, resulting in an estimator that is perceptually more meaningful and in line with measured histograms of speech DFT coefficients. Compared to state-of-theart reference methods, the presented estimator leads to an improvement of the segmental SNR in the order of 0.5 dB up to 1 dB. Moreover, listening tests show that the proposed estimator leads to significant improvement for the presented estimator over state-of-the-art methods. Index Terms: speech enhancement, log-spectral magnitude MMSE, super-Gaussian

[1]  David J. Sheskin,et al.  Handbook of Parametric and Nonparametric Statistical Procedures , 1997 .

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

[3]  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.

[4]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[5]  David R. Brillinger,et al.  Time Series: Data Analysis and Theory. , 1982 .

[6]  John H. L. Hansen,et al.  Discrete-Time Processing of Speech Signals , 1993 .

[7]  Jesper Jensen,et al.  Noise Tracking Using DFT Domain Subspace Decompositions , 2008, IEEE Transactions on Audio, Speech, and Language Processing.

[8]  D. Brillinger Time series - data analysis and theory , 1981, Classics in applied mathematics.

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

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

[11]  Philipos C. Loizou,et al.  Speech Enhancement: Theory and Practice , 2007 .

[12]  A. Gualtierotti H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

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

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

[15]  H. V. Trees Detection, Estimation, And Modulation Theory , 2001 .

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