Short-time signal representation by nonlinear difference equations

4 December 2002

conference paper
Published by Institute of Electrical and Electronics Engineers (IEEE)

p. 1551-1554 vol.3
https://doi.org/10.1109/icassp.1990.115708

Abstract

Methods are investigated for short-time analysis and synthesis of signals from a class of second-order difference equations with a cubic nonlinearity. In analysis, two methods are explored for estimating equation coefficients: (1) prediction error minimization (a linear estimation problem) and (2) waveform error minimization (a nonlinear estimation problem). In the latter case, which improves on the prediction error solution, an iterative analysis-by-synthesis method is derived which allows as free variables initial conditions, as well as equation coefficients. Parameter estimates from these techniques are used in sequential short-time synthesis procedures. Possible application to modeling quasi-periodic behavior in speech waveforms is discussed.

Keywords

This publication has 4 references indexed in Scilit:

Diagnosis of dynamical systems with fluctuating parameters
Published by World Scientific Pub Co Pte Ltd ,1995
Chaos: A tutorial for engineers
Proceedings of the IEEE, 1987
On the oscillations of musical instruments
The Journal of the Acoustical Society of America, 1983
Linear prediction: A tutorial review
Proceedings of the IEEE, 1975