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A novel time-frequency analysis approach for nonstationary time series using multiresolution wavelet

  • Beihang University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An efficient time-varying autoregressive (TVAR) modeling scheme using the multiresolution wavelet method is proposed for modeling nonstationary signals and with application to time-frequency analysis (TFA) of time-varying signal. In the new parametric modeling framework, the time-dependent parameters of the TVAR model are locally represented using a novel multiresolution wavelet decomposition scheme. The wavelet coefficients are estimated using an effective orthogonal least squares (OLS) algorithm. The resultant estimation of time-dependent spectral density in the signal can simultaneously achieve high resolution in both time and frequency, which is a powerful TFA technique for nonstationary signals. An artificial EEG signal is included to show the effectiveness of the new proposed approach. The experimental results elucidate that the multiresolution wavelet approach is capable of achieving a more accurate time-frequency representation of nonstationary signals.

Original languageEnglish
Title of host publicationProceedings - 14th IEEE International Conference on Data Mining Workshops, ICDMW 2014
EditorsZhi-Hua Zhou, Wei Wang, Ravi Kumar, Hannu Toivonen, Jian Pei, Joshua Zhexue Huang, Xindong Wu
PublisherIEEE Computer Society
Pages990-995
Number of pages6
EditionJanuary
ISBN (Electronic)9781479942749
DOIs
StatePublished - 26 Jan 2015
Event14th IEEE International Conference on Data Mining Workshops, ICDMW 2014 - Shenzhen, China
Duration: 14 Dec 2014 → …

Publication series

NameIEEE International Conference on Data Mining Workshops, ICDMW
NumberJanuary
Volume2015-January
ISSN (Print)2375-9232
ISSN (Electronic)2375-9259

Conference

Conference14th IEEE International Conference on Data Mining Workshops, ICDMW 2014
Country/TerritoryChina
CityShenzhen
Period14/12/14 → …

Keywords

  • Chebyshev polynomials
  • Kalman filter
  • Time-varying models
  • multiresolution wavelet
  • orthogonal least squares (OLS)
  • system identification
  • time-frequency analysis

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