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Nonlinear Time-Varying Spectral Analysis: HHT and MODWPT

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  • Pei-Wei Shan
  • Ming Li

Abstract

Time-frequency distribution has received a growing utilization for analysis and interpretation of nonlinear and nonstationary processes in a variety of fields. Among them, two methods, such as, the empirical mode decomposition (EMD) with Hilbert transform (HT) which is termed as the Hilbert-Huang Transform (HHT) and the Hilbert spectrum based on maximal overlap discrete wavelet package transform (MODWPT), are fairly noteworthy. Comparisons of HHT and MODWPT in analyzing several typical nonlinear systems and examinations of the effectiveness using these two methods are illustrated. This study demonstrates that HHT can provide comparatively more accurate identifications of nonlinear systems than MODWPT.

Suggested Citation

  • Pei-Wei Shan & Ming Li, 2010. "Nonlinear Time-Varying Spectral Analysis: HHT and MODWPT," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-14, May.
    • Handle: RePEc:hin:jnlmpe:618231
    DOI: 10.1155/2010/618231
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