Nonlinear Long-Term Prediction of Speech Based on Truncated Volterra Series

Previous studies of nonlinear prediction of speech have been mostly focused on short-term prediction. This paper presents long-term nonlinear prediction based on second-order Volterra filters. It will be shown that the presented predictor can outperform conventional linear prediction techniques in terms of prediction gain and “whiter” residuals.

[1]  G. Alipoor,et al.  Nonlinear Speech Coding Using Backward Adaptive Variable-Length Quadratic Filters , 2007, 2007 5th International Symposium on Image and Signal Processing and Analysis.

[2]  Tokunbo Ogunfunmi,et al.  Adaptive Nonlinear System Identification: The Volterra and Wiener Model Approaches , 2007 .

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

[4]  Jerry D. Gibson,et al.  Digital coding of waveforms: Principles and applications to speech and video , 1985, Proceedings of the IEEE.

[5]  S. D. Hansen,et al.  Non-linear short-term prediction in speech coding , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[6]  Mohamed Chetouani,et al.  New Sub-band Processing Framework Using Non-linear Predictive Models for Speech Feature Extraction , 2005, NOLISP.

[7]  H. Teager.  Some observations on oral air flow during phonation , 1980 .

[8]  S. Gazor,et al.  Speech probability distribution , 2003, IEEE Signal Processing Letters.

[9]  Wai C. Chu,et al.  Speech Coding Algorithms , 2003 .

[10]  Paul R. White,et al.  The application of non-linear Volterra type filters to television images , 1997, Proceedings of the IEEE Signal Processing Workshop on Higher-Order Statistics.

[11]  Tokunbo Ogunfunmi,et al.  Adaptive Nonlinear System Identification , 2007 .

[12]  A. Hussain,et al.  Nonlinear speech processing: Overview and applications , 2002 .

[13]  Marcos Faúndez-Zanuy,et al.  Non-linear Predictive Models for Speech Processing , 2005, ICANN.

[14]  A. Lacroix,et al.  Estimation of Speech Features of Glottal Excitation by Nonlinear Prediction , 2007 .

[15]  Carla Teixeira Lopes,et al.  TIMIT Acoustic-Phonetic Continuous Speech Corpus , 2012 .

[16]  Norbert Goertz.  Joint Source-Channel Coding of Discrete-Time Signals with Continuous Amplitudes , 2007, Communications and Signal Processing.

[17]  Tania Stathaki,et al.  Adaptive weighted least squares algorithm for Volterra signal modeling , 2000 .

[18]  Wai C. Chu,et al.  Speech Coding Algorithms: Foundation and Evolution of Standardized Coders , 2003 .

[19]  Gernot Kubin,et al.  Nonlinear long-term prediction of speech signals , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[20]  H. M. Teager,et al.  Evidence for Nonlinear Sound Production Mechanisms in the Vocal Tract , 1990 .

[21]  R. W. Miksad,et al.  Adaptive second-order Volterra filtering and its application to second-order drift phenomena , 1994 .