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Limit cycle oscillations in a nonlinear state space model of the human cochlea

Limit cycle oscillations in a nonlinear state space model of the human cochlea
Limit cycle oscillations in a nonlinear state space model of the human cochlea
It is somewhat surprising that linear analysis can account for so many features of the cochlea when it is inherently nonlinear. For example, the commonly detected spacing between adjacent spontaneous otoacoustic emissions (SOAEs) is often explained by a linear theory of “coherent reflection” [Zweig and Shera (1995). J. Acoust. Soc. Am. 98, 2018–2047]. The nonlinear saturation of the cochlear amplifier is, however, believed to be responsible for stabilizing the amplitude of a SOAE. In this investigation, a state space model is used to first predict the linear instabilities that arise, given distributions of cochlear inhomogeneities, and then subsequently to simulate the time-varying spectra of the nonlinear models. By comparing nonlinear simulation results to linear predictions, it is demonstrated that nonlinear effects can have a strong impact on the steady-state response of an unstable cochlear model. Sharply tuned components that decay away exponentially within 100 ms are shown to be due to linearly resonant modes of the model generated by the cochlear inhomogeneities. Some oscillations at linearly unstable frequencies are suppressed over a longer time scale, whereas those that persist are due to linear instabilities and their distortion products.
0001-4966
739-750
Ku, Emery M.
8d07886f-7e66-4d5b-93f6-1e62859f6eb2
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Lineton, Ben
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2
Ku, Emery M.
8d07886f-7e66-4d5b-93f6-1e62859f6eb2
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Lineton, Ben
1ace4e96-34da-4fc4-bc17-a1d82b2ba0e2

Ku, Emery M., Elliott, Stephen J. and Lineton, Ben (2009) Limit cycle oscillations in a nonlinear state space model of the human cochlea. Journal of the Acoustical Society of America, 126 (2), 739-750. (doi:10.1121/1.3158861).

Record type: Article

Abstract

It is somewhat surprising that linear analysis can account for so many features of the cochlea when it is inherently nonlinear. For example, the commonly detected spacing between adjacent spontaneous otoacoustic emissions (SOAEs) is often explained by a linear theory of “coherent reflection” [Zweig and Shera (1995). J. Acoust. Soc. Am. 98, 2018–2047]. The nonlinear saturation of the cochlear amplifier is, however, believed to be responsible for stabilizing the amplitude of a SOAE. In this investigation, a state space model is used to first predict the linear instabilities that arise, given distributions of cochlear inhomogeneities, and then subsequently to simulate the time-varying spectra of the nonlinear models. By comparing nonlinear simulation results to linear predictions, it is demonstrated that nonlinear effects can have a strong impact on the steady-state response of an unstable cochlear model. Sharply tuned components that decay away exponentially within 100 ms are shown to be due to linearly resonant modes of the model generated by the cochlear inhomogeneities. Some oscillations at linearly unstable frequencies are suppressed over a longer time scale, whereas those that persist are due to linear instabilities and their distortion products.

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More information

Published date: 2009
Organisations: Signal Processing & Control Group

Identifiers

Local EPrints ID: 71562
URI: http://eprints.soton.ac.uk/id/eprint/71562
ISSN: 0001-4966
PURE UUID: 4f1f6e83-27fd-45c7-970d-207739b77953
ORCID for Ben Lineton: ORCID iD orcid.org/0000-0003-4784-7762

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Date deposited: 11 Mar 2010
Last modified: 14 Mar 2024 02:47

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Contributors

Author: Emery M. Ku
Author: Ben Lineton ORCID iD

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