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A novel time-frequency analysis in nonstationary signals based multiscale radial basis functions and forward orthogonal regression

  • Wang Xudong
  • , Wang Lina
  • , Li Yang*
  • *Corresponding author for this work
  • Beihang University
  • Beijing Aerospace Automatic Control Institute

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

Abstract

For time-frequency analysis of nonstationary signals, an adaptive and efficient time-varying autoregressive (TVAR) modeling method based on the multiscale radial basis function (MRBF) network and forward orthogonal regression (FOR) algorithm is investigated in this paper. Specifically, time-varying coefficients in the TVAR model is firstly approximated by the MRBF which has a better performance of tracking the time-varying parameters in nonstationary signals. Thus, the time-varying modeling problem is simplified to the selection of optimal centers and scales of MRBF, which a modified particle swarm optimization (MPSO) method aided by a FOR algorithm are resolved. Secondly, recursive least squares (RLS), Legendre polynomials expansion method and single scale radial basis function approach (SSRBF) are used to compare with the proposed method to evaluate the performance. Finally, the experimental results indicate that the proposed approach outperforms competing techniques in terms of mean absolute error and root mean squared error, and show the effectiveness of the proposed method for extracting the nonstationary signals. abstract environment.

Original languageEnglish
Title of host publicationCognitive Systems and Signal Processing - 3rd International Conference, ICCSIP 2016, Revised Selected Papers
EditorsFuchun Sun, Huaping Liu, Dewen Hu
PublisherSpringer Verlag
Pages235-244
Number of pages10
ISBN (Print)9789811052293
DOIs
StatePublished - 2017
Event3rd International Conference on Cognitive Systems and Information Processing, ICCSIP 2016 - Beijing, China
Duration: 19 Nov 201623 Nov 2016

Publication series

NameCommunications in Computer and Information Science
Volume710
ISSN (Print)1865-0929

Conference

Conference3rd International Conference on Cognitive Systems and Information Processing, ICCSIP 2016
Country/TerritoryChina
CityBeijing
Period19/11/1623/11/16

Keywords

  • Forward orthogonal regression (FOR)
  • Modified Particle swarm optimization (MPSO)
  • Multiscale radial basis functions (MRBF)
  • Time-frequency analysis
  • Time-varying autoregressive (TVAR)

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