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arXiv 2602.01758eess.ASphysics.bio-ph
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短波波阻抗校正用于时域耳蜗传输线模型

Short-wave admittance correction for a time-domain cochlear transmission line model

Department of Information Technology, Ghent University(根特大学信息技术系)

François Deloche, Morgan Thienpont, Sarah Verhulst

AI总结:

本文提出了一种时域耳蜗传输线模型的短波波阻抗校正方法,通过自回归滤波和回归技术补偿二维效应,提升模型在不同声压水平下的压缩性能。

摘要:

传输线(TL)模型在时域中实现可以高效模拟基底膜(BM)对瞬态或非稳态声音的位移响应。从设计角度看,TL模型适合对行波进行一维(1-D)表征,但耳蜗的真实配置也引入了高维效应。这些效应包括在BM周围压力的聚焦和横向粘性阻尼,这些效应在短波区域被放大。这两种效应取决于波长,并且在频域中更容易表达。在本文中,我们引入了数值校正以补偿BM波阻抗,以在时域中使用自回归滤波和回归技术来表征二维效应。该校正对于实现一个针对鼠耳蜗生理特性的TL模型是必要的。该模型包括瞬时非线性性,以变量阻尼的形式出现,最初在声压增加时表现出压缩不足。这一限制是由1-D非线性TL模型中增益与频率选择性之间的强耦合所解释的,而耳蜗频率选择性在小型哺乳动物中仅对声压水平有中等依赖性。校正因子被应用于鼠模型,并通过反馈回路使校正因子依赖于水平。更新后的模型在频率选择性和增益之间实现了一些解耦,提供了5 dB的额外增益,并将压缩范围的声压水平范围扩展了10 dB。我们通过两个关键特征讨论了这项工作的相关性:分析和回归方法用于表征BM波阻抗的整合,以及瞬时和非瞬时非线性性的结合。

英文摘要:

Transmission line (TL) models implemented in the time domain can efficiently simulate basilar-membrane (BM) displacement in response to transient or non-stationary sounds. By design, a TL model is well-suited for an one-dimensional (1-D) characterization of the traveling wave, but the real configuration of the cochlea also introduces higher-dimensional effects. Such effects include the focusing of the pressure around the BM and transverse viscous damping, both of which are magnified in the short-wave region. The two effects depend on the wavelength and are more readily expressed in the frequency domain. In this paper, we introduce a numerical correction for the BM admittance to account for 2-D effects in the time domain using autoregressive filtering and regression techniques. The correction was required for the implementation of a TL model tailored to the gerbil cochlear physiology. The model, which includes instantaneous nonlinearities in the form of variable damping, initially presented insufficient compression with increasing sound levels. This limitation was explained by the strong coupling between gain and frequency selectivity assumed in the 1-D nonlinear TL model, whereas cochlear frequency selectivity shows only a moderate dependence on sound level in small mammals. The correction factor was implemented in the gerbil model and made level-dependent using a feedback loop. The updated model achieved some decoupling between frequency selectivity and gain, providing 5 dB of additional gain and extending the range of sound levels of the compressive regime by 10 dB. We discuss the relevance of this work through two key features: the integration of both analytical and regression methods for characterizing BM admittance, and the combination of instantaneous and non-instantaneous nonlinearities.

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