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Nonlinear Prediction of Chaotic Electrical Activity of the Brain

Kavitha, V and Dutt, Narayana D and Pradhan, N (1995) Nonlinear Prediction of Chaotic Electrical Activity of the Brain. In: 14th Conference of the Biomedical Engineering Society, Engineering in Medicine and Biomedical Engineering, An International Meeting, 15-18 Febrauary 1995, New Delhi, India, 3/39-3/40.

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Abstract

The random looking brain electrical activity patterns recorded as EEG is currently understood to be the outcome of a chaotic process. This study addresses the problem of nonlinear prediction of chaotic EEG data using a simplex method. A fixed length of EEG data is taken and a multidimensional attractor in phase-space is reconstructed from the time series. The first N points on the attractor serve as the base for making prediction for the next points. For a given point $x_i$ (i>N), the E+1 closest neighbors are determined. The predicted value is obtained by keeping track of where the neighbors moved, giving them an exponential weight depending upon the original distance. As the embedding dimension is increased, the predicted time series was a better correlation to the real signal until about twice the expected value of the correlation dimension D and then the correlation falls off. The results indicate that the EEG prediction falls off rapidly for longer prediction lengths, thus validating the chaotic nature of the EEG signal. Also, as the frequency of the signal increases, the prediction length decreases. The effect of the predictive parameters on different EEG activities is discussed.

Item Type: Conference Paper
Additional Information: 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Keywords: Nonlinear Dynamics;Chaos;EEG;Prediction
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 03 Sep 2007
Last Modified: 19 Sep 2010 04:37
URI: http://eprints.iisc.ernet.in/id/eprint/10830

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