A new NARX-based Granger linear and nonlinear casual influence detection method with applications to EEG data

Yifan Zhao, Steve A. Billings, Hualiang Wei, Fei He, Ptolemaios G. Sarrigiannis

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

A new NARX-based Granger linear and nonlinear casual influence detection method is presented in this paper to address the potential for linear and nonlinear models in data with applications to human EEG data analysis. Considering two signals initially, the paper introduces four indexes to measure the linearity and nonlinearity of a single signal, and one signal influencing the second signal. This method is then extended to the time-varying and multivariate cases. An adaptation of an Orthogonal Least Squares routine is employed to select the significant terms in the models. A numerical example is provided to illustrate the effectiveness of the new algorithms together with the application to real EEG data collected from 4 patients.

Original languageEnglish
Pages (from-to)79-86
Number of pages8
JournalJournal of Neuroscience Methods
Volume212
Issue number1
DOIs
Publication statusPublished - 15 Jan 2013
Externally publishedYes

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Electroencephalography
Nonlinear Dynamics
Least-Squares Analysis
Linear Models

Keywords

  • Causality
  • Linearity
  • NARMAX
  • Nonlinearity

ASJC Scopus subject areas

  • Neuroscience(all)

Cite this

A new NARX-based Granger linear and nonlinear casual influence detection method with applications to EEG data. / Zhao, Yifan; Billings, Steve A.; Wei, Hualiang; He, Fei; Sarrigiannis, Ptolemaios G.

In: Journal of Neuroscience Methods, Vol. 212, No. 1, 15.01.2013, p. 79-86.

Research output: Contribution to journalArticle

Zhao, Yifan ; Billings, Steve A. ; Wei, Hualiang ; He, Fei ; Sarrigiannis, Ptolemaios G. / A new NARX-based Granger linear and nonlinear casual influence detection method with applications to EEG data. In: Journal of Neuroscience Methods. 2013 ; Vol. 212, No. 1. pp. 79-86.
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