论文标题
确定人声道形状的逆问题
An inverse problem to determine the shape of a human vocal tract
论文作者
论文摘要
考虑了确定元音发出期间人声道横截面区域的逆问题。嘴唇处的频率依赖性边界条件是根据无限平面挡板上振动活塞的声阻抗表示的。嘴唇处的相应压力是根据归一化阻抗和与相关Schrödinger方程的所谓jost功能相关的关键数量表示的。各种输入数据集被认为可以解决逆问题，包括嘴唇的压力，嘴唇的绝对压力或嘴唇的压力。逆问题的解决方案是在相关的Schrödinger方程的Gel'Fand-Levitan方法的帮助下获得的。
The inverse problem of determining the cross-sectional area of a human vocal tract during the utterance of a vowel is considered. The frequency-dependent boundary condition at the lips is expressed in terms of the acoustic impedance of a vibrating piston on an infinite plane baffle. The corresponding pressure at the lips is expressed in terms of the normalized impedance and a key quantity related to the so-called Jost function of an associated Schrödinger equation. Various input data sets are considered to solve the inverse problem, including the pressure at the lips, the absolute pressure at the lips, or the poles of the pressure at the lips. The solution to the inverse problem is obtained with the help of the Gel'fand-Levitan method for the associated Schrödinger equation.
