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• W2088492089 abstract "The inverse problem for the vocal tract is under consideration from the viewpoint of the ill-posed problem theory. The proposed approach, which permits overcoming the difficulties related to ambiguity and instability, is based on the variational regularization with constraints. The work of articulators is used as a functional of regularization and a criterion of optimality for finding an approximate solution. The measured acoustical parameters of the speech signal serve as external constraints while the geometry of the vocal tract, the mechanics of the articulation, and the phonetic properties of the language play the role of internal constraints. An effective numerical implementation of the proposed approach is based on a local piecewise linear approximation of the articulatory-to-acoustics mapping and a polynomial approximation of the discrepancy measure. A heuristic method named the “calibrating curves method” is applied for estimating the accuracy of the obtained approximate solution. It was shown that in some cases the error of the inverse problem solution is weakly dependent on the errors of formant frequency measurements. The vocal tract shapes obtained by virtue of the proposed approach are very close to those measured in X-ray experiments. Un problème inverse du conduit vocal est analysé du point de vue de la théorie des problèmes incorrects. On propose la méthode, utilisant la régularisation variée avec des restrictions pour surmonter des difficultés liés à la dissemblance et à l'instabilité. Le fonctionnement des organes d'articulation est utilisé comme un régulateur et comme un critère d'optimum pour une résolution approximative recherchée. Des paramètres acoustiques mesurés servent des restrictions extérieures tandis que la géométrie du conduit vocal, les mécanismes d'articulation et les particularités phonétiques de la langue servent des restrictions intérieures. Une méthode effective numérique de la réalisation d'un approche proposé est basée sur une approximation linéaire d'une image “articulation – acoustique”. Une méthode euristique nommée “une méthode des courbes calibrées” a été utilisée pour évaluer la précision des résolutions approximatives obtenues. On fait voire que dans les certains cas une faute dans la résolution d'une tâche inverse ne dépend que très faiblement des fautes des mesures des fréquences des formantes. Formes du conduit vocal évaluées à l'aide d'une méthode proposée ressemblent beaucoup aux formes mesurées au cours des expériences radiographiques." @default.
• W2088492089 created "2016-06-24" @default.
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• W2088492089 date "2000-01-01" @default.
• W2088492089 modified "2023-09-26" @default.
• W2088492089 title "Estimation of stability and accuracy of inverse problem solution for the vocal tract" @default.
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• W2088492089 doi "https://doi.org/10.1016/s0167-6393(99)00031-x" @default.
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