Special Issue on High Performance Computing for Wave Propagation; Guest Editor: F. MagoulèsNo Access

NUMERICAL METHOD FOR VOICE GENERATION PROBLEM BASED ON FINITE ELEMENT METHOD

TAKASHI KAKO

Department of Computer Science, The University of Electro-Communications, 182-8585 Chofu, Japan

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and

KENTAROU TOUDA

Department of Computer Science, The University of Electro-Communications, 182-8585 Chofu, Japan

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https://doi.org/10.1142/S0218396X06002779Cited by:4 (Source: Crossref)

Abstract

In this paper, we consider the numerical method for the voice generation problem. The basic mathematical model for the voice generation is the Helmholtz equation in an unbounded region. Introducing an artificial boundary, we divide the unbounded region into a bounded region and the rest unbounded one with a simple shape. We apply the finite element method for the equation in the bounded region imposing an artificial boundary condition given through the Dirichlet to Neumann (DtN) mapping on the artificial boundary. We then compute the frequency response function or the formant curve by which we can simulate the voice generation process for various vowels. The complex eigenvalues related to the Helmholtz equation control the peaks of the frequency response function known as formants. We give the variational formulas for the complex eigenvalues with respect to the variation of vocal tract boundary.

Keywords:

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