Abstract
Responses of a mechanical model of the peripheral auditory system are calculated for two-tone stimuli with primary frequencies chosen so that the frequency of the cubic difference tone (2f1-f2) is maintained constant for all pairs used. The comprehensive model explicitly includes linear characterizations of the earphone driver, acoustic coupler, and middle ear, and a passive cochlear model with nonlinear damping of the cochlear partition motion. The amplitude and phase plots of the (2f1-f2) distortion signal, determined both in the ear canal and at the (2f1-f2) characteristic place, show rapid variations with f1, and quite different patterns depending on the stimulus level. These plots, as well as plots showing the spatial distribution of primary and distortion signals along the cochlea for six selected f1 values, are interpretable as showing interactions between multiple propagating waves at the distortion product frequency.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hall, J. L., “Two-tone distortion products in a nonlinear model of the basilar membrane,” J. Acoust. Soc. Am. 56, pp. 1818–1828, 1974.
Kim, D. O., Moinar, C. E., and Matthews, J. W., “Cochlear mechanics: Nonlinear behavior in two-tone responses as reflected in cochlear-nerve-fiber responses and in ear-canal sound pressure,” J. Acoust. Soc. Am. 67, pp. 1704–1721, 1980.
Kim, D. O., “Cochlear mechanics: Implications of electrophysiological and acoustical observations,” Hearing Research 2, pp. 297–317, 1980.
Lynch, T. J., III, Nedzelnitsky, V., and Peake, W. T., “Input impedance of the cochlea of cat,” J. Acoust. Soc. Am. 12, pp. 108–130, 1982.
Matthews, J. W., “Mechanical Modeling of Nonlinear Phenomena Observed in the Peripheral Auditory System,” D.Sc. dissertation, Washington University, St. Louis, Missouri, USA, 1980.
Matthews, J. W., “Modeling reverse middle ear transmission of acoustic distortion signals,” in Mechanics of Hearing, ed. E. de Boer and M. A. Viergever, Delft University Press, Delft, The Netherlands, pp. 11–18, 1983.
Neely, S. T., “Fourth-order Partition Mechanics for a Two-dimensional Cochlear Model,” D.Sc. dissertation, Washington University, St. Louis, Missouri, USA, 1981a.
Neely, S. T., Finite difference solution of a two-dimensional mathematical model of the cochlea, J. Acoust. Soc. Am. 69, pp. 1386–1393, 1981b.
Zwicker, E., “Cubic difference tone level and phase dependence on frequency difference and level of primaries,” in Psychophysical, Physiological and Behavioral Studies in Hearing, ed. G. van den Brink and F. A. Bilson, Delft University Press, Delft, The Netherlands, pp. 268–271, 1980.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Matthews, J.W., Molnar, C.E. (1986). Modeling Intracochlear and Ear Canal Distortion Product (2f1–f2). In: Allen, J.B., Hall, J.L., Hubbard, A.E., Neely, S.T., Tubis, A. (eds) Peripheral Auditory Mechanisms. Lecture Notes in Biomathematics, vol 64. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-50038-1_32
Download citation
DOI: https://doi.org/10.1007/978-3-642-50038-1_32
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16095-3
Online ISBN: 978-3-642-50038-1
eBook Packages: Springer Book Archive