[en] Models based on linear prediction have been used for several decades in different areas of speech signal processing. While the linear approach has led to great advances in the last 40 years, it neglects nonlinearities present in the speech production mechanism. This paper compares the results of long-term nonlinear prediction based on second-order and third-order Volterra filters. Additional improvement can be obtained using fractionaldelay long-term prediction. Experimental results reveal that the proposed method outperforms linear long-term prediction techniques in terms of prediction gain.
Gh. Alipoor and M. H. Savoji, "Employing Volterra filters in the ADPCM technique for speech coding: a comprehensive investigation," European Transactions on Telecommunications, vol. 22, no. 2, pp. 81-92, Mar. 2011.
A. Stenger and R. Rabenstein, "Adaptive Volterra filters for nonlinear acoustic echo cancellation," in Proc. of the IEEE-EURASIP Workshop on Nonlinear Signal and Image Processing, Antalya, Turkey, pp. 679-683, Jun. 1999.
D. Giacobello, M. G. Christensen, J. Dahl, S. H. Jensen and M. Moonen, "Joint estimation of short-term and longterm predictors in speech coders," in Proc. of the IEEE Int. Conf. on Acoustics, Speech and Signal Processing (ICASSP '09), Taipei, Taiwan, pp. 4109-4112, Apr. 2009.
J. Thyssen, H. Nielsen and S. Hansen, "Non-linear short-term prediction in speech coding," in Proc. IEEE Int. Conf. on Acoustics, Speech, and Signal Processing (ICASSP '94), Adelaide, Australia, pp. 185-188, Apr. 1994.
E. Mumolo, A. Carini and D. Francescato, "ADPCM with nonlinear predictors," in Signal Processing VII: Theories and applications, Ed. Elsevier, vol. 1, pp. 387-390, Sep. 1994.
V. Despotovic, N. Goertz and Z. Peric, "Nonlinear longterm prediction of speech based on truncated Volterra series," IEEE Transactions on Audio, Speech & Language Processing, vol. 20, no. 3, pp. 1069-1073, Mar. 2012.
Y. Medan, E. Yair and D. Chazan, "Super Resolution Pitch Determination of Speech Signals," IEEE Transactions on Signal Processing, vol. 39, no. 1, pp. 40-48, Jan. 1991.
W. C. Chu, Speech Coding Algorithms: Foundation and Evolution of Standardized Coders. John Wiley & Sons, New Jersey, USA, 2003.
P. Kroon and B. S. Atal, "On Improving the Performance of Pitch Predictors in Speech Coding Systems," in Advances in Speech Coding, B. S. Atal, V. Cuperman and A. Gersho edition, Kluwer Academic Publishers, Norwell, MA., pp. 321-327, 1991.
K. N. Ramamurthy and A. Spanias, MATLAB Software for the Code Excited Linear Prediction Algorithm: The Federal Standard-1016, Synthesis Lectures on Algorithms and Software in Engineering. Morgan & Claypool Publishers, 2011.
