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Nonlinear detection of disordered voice productions from short time series based on a Volterra–Wiener–Korenberg model

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  • Zhang, Yu
  • Sprecher, Alicia J.
  • Zhao, ZongXi
  • Jiang, Jack J.

Abstract

In this paper, we apply the Volterra–Wiener–Korenberg (VWK) model method to detect nonlinearity in disordered voice productions. The VWK method effectively describes the nonlinearity of a third-order nonlinear map. It allows for the analysis of short and noisy data sets. The extracted VWK model parameters show an agreement with the original nonlinear map parameters. Furthermore, the VWK mode method is applied to successfully assess the nonlinearity of a biomechanical voice production model simulating irregular vibratory dynamics of vocal folds with a unilateral vocal polyp. Finally, we show the clinical applicability of this nonlinear detection method to analyze the electroglottographic data generated by 14 patients with vocal nodules or polyps. The VWK model method shows potential in describing the nonlinearity inherent in disordered voice productions from short and noisy time series that are common in the clinical setting.

Suggested Citation

  • Zhang, Yu & Sprecher, Alicia J. & Zhao, ZongXi & Jiang, Jack J., 2011. "Nonlinear detection of disordered voice productions from short time series based on a Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 751-758.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:9:p:751-758
    DOI: 10.1016/j.chaos.2011.06.011
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    References listed on IDEAS

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    1. Lei, Min & Meng, Guang, 2008. "The influence of noise on nonlinear time series detection based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 512-516.
    2. Lei, Min & Meng, Guang & Feng, Zhengjin, 2006. "Security analysis of chaotic communication systems based on Volterra–Wiener–Korenberg model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 264-270.
    3. Chi-Sang Poon & Christopher K. Merrill, 1997. "Decrease of cardiac chaos in congestive heart failure," Nature, Nature, vol. 389(6650), pages 492-495, October.
    4. Aboofazeli, Mohammad & Moussavi, Zahra K., 2008. "Comparison of recurrence plot features of swallowing and breath sounds," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 454-464.
    5. Zhang, Yu & Shao, Jun & Krausert, Christopher R. & Zhang, Sai & Jiang, Jack J., 2011. "High-speed image analysis reveals chaotic vibratory behaviors of pathological vocal folds," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 169-177.
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