Volterra Functional Analysis for the Cochlear Model

Yang Jun & Fan Changxin

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Volterra Functional Analysis for the Cochlear Model

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- Volterra Functional Analysis for the Cochlear Model
- Acta Electronica Sinica Issue 1, Pages: 29-36(1992)
- 作者机构：
  
  1. 西安电子科技大学信息科学所
  2. 西安电子科技大学信息科学所西安 710071
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1992
- 稿件说明：
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[1]杨俊,樊昌信.耳蜗模型的Volterra泛函分析[J].电子学报,1992(01):29-36.

Yang Jun & Fan Changxin. Volterra Functional Analysis for the Cochlear Model[J]. Acta Electronica Sinica, 1992, (1): 29-36.
[1]杨俊,樊昌信.耳蜗模型的Volterra泛函分析[J].电子学报,1992(01):29-36. DOI：

Yang Jun & Fan Changxin. Volterra Functional Analysis for the Cochlear Model[J]. Acta Electronica Sinica, 1992, (1): 29-36. DOI：

摘要

随着对语音信号处理的研究日益深入

研究听觉系统的机理显得越来越重要。本文建立了耳蜗的非线性运动方程及相应的状态空间方程

并首次利用Volterra泛函分析方法

获得了非线性耳蜗模型满足任意精度的频域解析解。还证明了

文献[1]给出的分析方法是本文分析方法的一种特例

说明了本文的分析方法具有一般性。

Abstract

With the increasing demand for the performance of the speech processing system

it is becoming more and more important to investigate the speech mechanism on auditory system. In this paper

the nonlinear motion equation and the corresponding state space equation of the cochlea are established

and the Volterra functional series method is firstly used to obtain the analytic solution in frequency domain which may be arbitrarily closed to the accurate one. Moreover

it is proved that the method in Reference [1] is the special case of our method

therefore

the analysis method proposed is of generality.

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