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On the role of the partial trigonometric moment problem in AR speech modelling

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4 Author(s)
Delsarte, P. ; Philips Research Laboratory Brussels, Brussels, Belgium ; Genin, Y. ; Kamp, Y. ; Van Dooren, P.

The partial trigonometric moment problem is shown to provide a unifying framework for several speech modelling techniques, such as the classical LPC antoregressive model, the line spectral pairs and composite sinusoidal waves models, and the Toeplitz eigenvector model for formant extraction, From a mathematical viewpoint, this moment problem can be identified to an extension problem in the class of impedance functions or equivalently in the class of nonnegative definite Toeplitz matrices.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '83.  (Volume:8 )

Date of Conference:

Apr 1983