Acta mathematica scientia,Series A ›› 2022, Vol. 42 ›› Issue (4): 1227-1237.

Previous Articles     Next Articles

Determination of Radius of a Human Vocal Tract from the Data of Sound Pressure at the Lips

Zhanpeng Gao,Xiaochuan Xu*()   

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044
  • Received:2021-08-27 Online:2022-08-26 Published:2022-08-08
  • Contact: Xiaochuan Xu E-mail:xcxu@nuist.edu.cn
  • Supported by:
    the NSFC(11901304);the NUIST Students' Platform for Innovation and Entrepreneurship Training Program(XJDC202110300403)

Abstract:

In this paper, we study the inverse problems for the determination of the shape of a human vocal tract, which consist in recovering the radius of a human vocal tract from either the absolute sound pressure at the lips at all positive frequencies or the poles of the sound pressure at the lips in the complex plane. Two uniqueness theorems are proved, and the corresponding reconstruction algorithms are provided.

Key words: Inverse problem, Speech acoustics, Sturm-Liouville operator, Scattering of vocal tract

CLC Number: 

  • O175.8
Trendmd