title: A new NARX-based Granger linear and nonlinear casual influence detection method with applications to EEG data.
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.
authors.affiliation: Department of Automatic Control and System Engineering, University of Sheffield, UK. y.zhao@sheffield.ac.uk
authors.forename: Yifan
authors.initials: Y
authors.lastname: Zhao
authors.forename: Steve A
authors.initials: SA
authors.lastname: Billings
authors.forename: Hualiang
authors.initials: H
authors.lastname: Wei
authors.forename: Fei
authors.initials: F
authors.lastname: He
authors.forename: Ptolemaios G
authors.initials: PG
authors.lastname: Sarrigiannis
mesh_terms: D001921:Brain / Q000502:physiology*; D001931:Brain Mapping; D058256:Brain Waves / Q000502:physiology*; D003198:Computer Simulation; D004569:Electroencephalography; D006801:Humans; D016014:Linear Models; D017711:Nonlinear Dynamics; D012640:Seizures / Q000473:pathology / Q000503:physiopathology; D017603:Signal Detection, Psychological; D013997:Time Factors