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

doi:10.1109/TBME.2013.2252347

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 journal › Article › peer-review

17 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	2233-2241
Number of pages	9
Journal	IEEE Transactions on Biomedical Engineering
Volume	60
Issue number	8
Early online date	12 Mar 2013
DOIs	https://doi.org/10.1109/TBME.2013.2252347
Publication status	Published - 5 Aug 2013
Externally published	Yes

Keywords

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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10.1109/TBME.2013.2252347

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abstract = "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.",

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AU - Billings, Stephen A.

AU - Wei, Hua Liang

AU - Sarrigiannis, Ptolemaios G.

AU - Zhao, Yifan

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AB - 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.

KW - Frequency response functions (FRFs)

KW - nonlinear and nonstationary systems

KW - spectral analysis

KW - system identification

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

Abstract

Keywords

ASJC Scopus subject areas

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