Indications of nonlinear structures in brain electrical activity

Temujin Gautama, Danilo P. Mandic, and Marc M. Van Hulle
Phys. Rev. E 67, 046204 – Published 10 April 2003
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Abstract

The dynamical properties of electroencephalogram (EEG) segments have recently been analyzed by Andrzejak and co-workers for different recording regions and for different brain states, using the nonlinear prediction error and an estimate of the correlation dimension. In this paper, we further investigate the nonlinear properties of the EEG signals using two established nonlinear analysis methods, and introduce a “delay vector variance” (DVV) method for better characterizing a time series. The proposed DVV method is shown to enable a comprehensive characterization of the time series, allowing for a much improved classification of signal modes. This way, the analysis of Andrzejak and co-workers can be extended toward classification of different brain states. The obtained results comply with those described by Andrzejak et al., and provide complementary indications of nonlinearity in the signals.

  • Received 6 August 2002

DOI:https://doi.org/10.1103/PhysRevE.67.046204

©2003 American Physical Society

Authors & Affiliations

Temujin Gautama*, Danilo P. Mandic, and Marc M. Van Hulle

  • Laboratorium voor Neuro- en Psychofysiologie, K.U. Leuven, Campus Gasthuisberg, Herestraat 49, B-3000 Leuven, Belgium

  • *Electronic address: temu@neuro.kuleuven.ac.be
  • Present address: Department of Electrical and Electronic Engineering, Imperial College of Science, Technology and Medicine, Exhibition Road, SW7 2BT, London, U.K. Electronic address: d.mandic@ic.ac.uk
  • Electronic address: marc@neuro.kuleuven.ac.be

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Vol. 67, Iss. 4 — April 2003

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