Spectral analysis for nonstationary and nonlinear systems: A discrete-time-model-based approach

Fei He, Stephen A. Billings, Hua Liang Wei, Ptolemaios G. Sarrigiannis, Yifan Zhao

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


A new frequency-domain analysis framework for nonlinear time-varying systems is introduced based on parametric time-varying nonlinear autoregressive with exogenous input models. It is shown how the time-varying effects can be mapped to the generalized frequency response functions (FRFs) to track nonlinear features in frequency, such as intermodulation and energy transfer effects. A new mapping to the nonlinear output FRF is also introduced. A simulated example and the application to intracranial electroencephalogram data are used to illustrate the theoretical results.

Original languageEnglish
Pages (from-to)2233-2241
Number of pages9
JournalIEEE Transactions on Biomedical Engineering
Issue number8
Early online date12 Mar 2013
Publication statusPublished - 5 Aug 2013
Externally publishedYes


  • Frequency response functions (FRFs)
  • nonlinear and nonstationary systems
  • spectral analysis
  • system identification
  • time-varying systems

ASJC Scopus subject areas

  • Biomedical Engineering


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