Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第43回ISCIE「確率システム理論と応用」国際シンポジウム(2011年10月, 滋賀)
Basic Consideration of Inverse Problems for Vocal Tract Deformation from Non-Uniform Tube
Jong Soo LeeHiroshi Isshiki
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2012 年 2012 巻 p. 344-349

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From the inversion of the speech data of native and non-native speakers, we can find the difference in the vocal tract shape. Schroeder's theory assumes that the vocal tract is a uniform cylinder. The axial distribution of deformation of the cross sectional area is obtained as a perturbation from the uniform cylinder by applying the Boltzmann-Ehrenfest theorem. We extend Schroeder's theory to a case of the non-uniform cross sectional area of the vocal tract for an application to the foreign language learning process. Furthermore, we discussed constraint conditions to obtain a special solution to Schroeder's inverse problem and verifies it by numerical examples.
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© 2012 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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