Skip to main content
Log in

Non-linear and linear forecasting of the EEG time series

  • Published:
Biological Cybernetics Aims and scope Submit manuscript

Abstract

The method of non-linear forecasting of time series was applied to different simulated signals and EEG in order to check its ability of distinguishing chaotic from noisy time series. The goodness of prediction was estimated, in terms of the correlation coefficient between forecasted and real time series, for non-linear and autoregressive (AR) methods. For the EEG signal both methods gave similar results. It seems that the EEG signal, in spite of its chaotic character, is well described by the AR model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Babloyantz A, Destexte A (1987) Strange attractors in the human cortex. Springer Series in Synergetics, vol 36, Springer, Berlin Heidelberg New York, pp 48–56

    Google Scholar 

  • Babloyantz A (1989) Estimation of correlation dimension from single and multichannel recordings — a critical review. Springer Series in Brain Dynamics, vol 2. Springer, Berlin Heidelberg New York, pp 122–130

    Google Scholar 

  • Bendat JS, Piersol AG (1986) Random data: analysis and measurement procedures, 2nd edn. Wiley New York

    Google Scholar 

  • Blinowska KJ, Franaszczuk PJ (1989) A model of the generation of electrocortical rhythms. Springer Series in Brain Dynamics, vol 2. Springer, Berlin Heidelberg New York, pp 192–201

    Google Scholar 

  • Blinowska KJ, Franaszczuk PJ, Mitraszewski P (1988) A new method of presentation of the average spectral properties of the EEG time series. Int J Biomed Comput 22:97–106

    Google Scholar 

  • Eckman JP, Oliffson Kamphorst S, Ruelle D (1987) Recurrence plots of dynamical systesm. Europhys Lett 4:973–977

    Google Scholar 

  • Farmer JD, Sidorovich JJ (1987) Predicting chaotic time series. Phys Rev Lett 59:845–848

    Google Scholar 

  • Franaszczuk PJ, Blinowska KJ, Kowalczyk M (1985) The application of parametric multichannel spectral estimates in the study of electric brain activity. Biol Cybern 51:239–247

    Google Scholar 

  • Franaszczuk PJ, Blinowska KJ (1985) Linear model of brain electrical activity, EEG as a superposition of damped oscillatory modes. Biol Cybern 53:19–25

    Google Scholar 

  • Freeman WJ (1990) On the problem of anomalous dispersion in chaoto-chaotic phase transitions in neural masses and its significance for the management of perceptual information in brains. Springer Series in Synergetics, vol 45. Springer, Berlin Heidelberg New York, pp. 126–142

    Google Scholar 

  • Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D9:183–208

    Google Scholar 

  • Gershenfeld N (1988) An experimentalist's introduction to the observation of dynamical systems. In: Hao Bai-Liu (ed) Directions in chaos, vol II. World Scientific, Singapore New Jersey Hong Kong pp 310–382

    Google Scholar 

  • Layne SP, Meyer-Kress G, Holzfuss J (1986) Problems associated with dimensional analysis of electroencephalogram data. Springer Series Synergetics, vol 32. Springer, Berlin Heidelberg New York, pp 246–256

    Google Scholar 

  • Lopes da Silva FH, Van Rotterdam A, Barts P, Van Hensden E, Burr (1976) Models of neuronal populations. The basics mechanisms of rhythmicity. In: Corner MA, Swaab D (eds) Progress in brain research, vol 45. Elsevier/North Holland Biomedical Press, Amsterdam, pp 281–308

    Google Scholar 

  • Röschke J, Başar E (1989) Correlation dimensions in various parts of cat and human brain in different states. In: Springer Series in Brain Dynamics, vol 2. Springer, Berlin Heidelberg New York pp 131–157

    Google Scholar 

  • Skarda CA, Freeman WJ (1987) How brains make chaos in order to make sense of the word. Behav Sci 10:161–195

    Google Scholar 

  • Sugihara G, May RM (1990) Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344:734–741.

    Google Scholar 

  • Wright JJ (1990) Reticular activation and the dynamics of neuronal networks. Biol Cybern 62:289–298

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blinowska, K.J., Malinowski, M. Non-linear and linear forecasting of the EEG time series. Biol. Cybern. 66, 159–165 (1991). https://doi.org/10.1007/BF00243291

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00243291

Keywords

Navigation