A nonlinear generalization of spectral granger causality

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Spectral measures of linear Granger causality have been widely applied to study the causal connectivity between time series data in neuroscience, biology, and economics. Traditional Granger causality measures are based on linear autoregressive with exogenous (ARX) inputs models of time series data, which cannot truly reveal nonlinear effects in the data especially in the frequency domain. In this study, it is shown that the classical Geweke's spectral causality measure can be explicitly linked with the output spectra of corresponding restricted and unrestricted time-domain models. The latter representation is then generalized to nonlinear bivariate signals and for the first time nonlinear causality analysis in the frequency domain. This is achieved by using the nonlinear ARX (NARX) modeling of signals, and decomposition of the recently defined output frequency response function which is related to the NARX model.

Original languageEnglish
Article number6725625
Pages (from-to)1693-1701
Number of pages9
JournalIEEE Transactions on Biomedical Engineering
Issue number6
Publication statusPublished - 27 Jan 2014
Externally publishedYes


  • Electroencephalogram (EEG)
  • frequency response function (FRF)
  • Granger causality
  • nonlinear systems
  • spectral analysis

ASJC Scopus subject areas

  • Biomedical Engineering


Dive into the research topics of 'A nonlinear generalization of spectral granger causality'. Together they form a unique fingerprint.

Cite this