An inverse problem to determine the shape of a human vocal tract

DOI10.1016/j.cam.2021.113477zbMath1465.34060arXiv2004.14948OpenAlexW3022040052MaRDI QIDQ2020537

Yanyan Li

Publication date: 23 April 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.14948

zbMATH Keywords

inverse problemsspeech acousticsshape of vocal tract

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Inverse problems involving ordinary differential equations (34A55) Other natural sciences (mathematical treatment) (92F05)

Cites Work

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• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
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• On the determination of a differential equation from its spectral function
• Inverse spectral-scattering problem with two sets of discrete spectra for the radial Schrödinger equation
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Inverse scattering on the line
• Determining the shape of a human vocal tract from pressure measurements at the lips
• Inverse problems for selfadjoint Schrödinger operators on the half line with compactly supported potentials
• Introduction to Digital Speech Processing
• Inverse scattering for vowel articulation with frequency-domain data

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