In this paper, we apply an iterative parameter adaption scheme based on chaos synchronization to estimate system parameters of the asymmetric vocal folds from glottal area time series. The original asymmetric vocal-fold system associated with recurrent laryngeal paralysis shows chaotic vibrations with positive Lyapunov exponents. Aperiodic glottal area time series from the original system will be applied as the feedback variable coupling the simulative and the original vocal-fold systems. The parameter adaption technique based on chaos synchronization is employed to manipulate the simulative system parameters. The chaotic vibrations, system parameters, and the bifurcation diagram of the original vocal-fold system can be exactly reproduced in the simulative system, and the two chaotic systems can be synchronized. Furthermore, the effects of noise, sampling rate, and equation difference due to nonlinear spring terms on vocal-fold parameter estimations are investigated. Despite large noise perturbations, large equation differences, and low sampling rate, the parameter adaption scheme can effectively estimate the original vocal-fold system parameters. This study provides a theoretical base to apply chaos synchronization to estimate the vocal-fold system parameters from the glottal area data and show its potential application in laryngeal physiology.
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June 2006
Research Article|
June 02 2006
Parameter estimation of an asymmetric vocal-fold system from glottal area time series using chaos synchronization
Yu Zhang;
Yu Zhang
Department of Surgery, Division of Otolaryngology Head and Neck Surgery,
University of Wisconsin Medical School
, Madison, Wisconsin 53792-7375
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Chao Tao;
Chao Tao
Department of Surgery, Division of Otolaryngology Head and Neck Surgery,
University of Wisconsin Medical School
, Madison, Wisconsin 53792-7375
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Jack J. Jiang
Jack J. Jiang
a)
Department of Surgery, Division of Otolaryngology Head and Neck Surgery,
University of Wisconsin Medical School
, Madison, Wisconsin 53792-7375
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a)
Electronic mail: [email protected]
Chaos 16, 023118 (2006)
Article history
Received:
October 26 2005
Accepted:
April 17 2006
Citation
Yu Zhang, Chao Tao, Jack J. Jiang; Parameter estimation of an asymmetric vocal-fold system from glottal area time series using chaos synchronization. Chaos 1 June 2006; 16 (2): 023118. https://doi.org/10.1063/1.2203092
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