基于嘴唇处的声压数据确定人体声道半径  

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

作　　者：高展鹏 徐小川 Gao Zhanpeng;Xu Xiaochuan(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044

出　　处：《数学物理学报（A辑）》2022年第4期1227-1237,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(11901304);南京信息工程大学大学生创新创业训练计划项目(XJDC202110300403)。

摘　　要：该文研究关于人体声道形状确定的反问题,旨在由嘴唇处所有正频率的绝对声压或嘴唇处声压函数在复平面内的极点分布,来重构人体声道半径,证明两个唯一性定理,并给出相应的重构算法.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.

关 键 词：反问题 言语声学 STURM-LIOUVILLE算子 声道散射 

分 类 号：O175.8[理学—数学]