Journal
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING
Volume 60, Issue 8, Pages 2233-2241Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TBME.2013.2252347
Keywords
Frequency response functions (FRFs); nonlinear and nonstationary systems; spectral analysis; system identification; time-varying systems
Categories
Funding
- Engineering and Physical Sciences Research Council (EPSRC), U.K.
- European Research Council (ERC)
- Engineering and Physical Sciences Research Council [EP/I011056/1, EP/H00453X/1, EP/G042209/1] Funding Source: researchfish
- EPSRC [EP/G042209/1, EP/I011056/1, EP/H00453X/1] Funding Source: UKRI
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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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