Skip to main content
Log in

Parametric method for the detection of inter- and intrasweep variability in VEP processing

  • Computing and Data Processing
  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

The paper introduces a Kalman filter procedure for the processing of single-sweep visual evoked potentials (VEPs). The identification of the filter coefficients is based on a model of signal and noise interaction which considers the generating process as the superposition of the true evoked response to an AR process (the background EEG) and a broader spectrum noise. Intersweep variability is thus evident on the filtered response and a functional parameter of the filter (VP(t), namely variability path) is proposed for the automatic determination of the latencies associated with the main peaks of the response. Finally, the time-variant algorithm allows the quantification of the intrasweep variability for possible interpretation of the physiological mechanism involved.

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.

Similar content being viewed by others

References

  • Akaike, H. (1971) Information theory and an extension of maximum likelihood principle. Proc. 2nd. Int. Symp. of Information Theory, Budapest.

  • Bierman, G. (1977)Factorisation methods for discrete sequential estimation. Academic Press.

  • Bodenstein, G. andPraetorius, H. M. (1977) Feature extraction from the encephalogram by adaptive segmentation.Proc. IEEE,65, 642–657.

    Google Scholar 

  • Bohlin, T. (1977) Analysis of EEG signals with changing spectra using Kalman estimator.Math. Biosci.,35, 221–259.

    Article  MATH  MathSciNet  Google Scholar 

  • Box, G. E. P. andJenkins, G. M. (1976)Time series analysis, forecasting and control. Holden Day, San Francisco.

    MATH  Google Scholar 

  • Cerutti, S. andBartoli, F. (1983) An optimal linear filter for the reduction of noise superimposed to the EEG signal.J. Biomed. Eng.,5, 274–280.

    Google Scholar 

  • Cerutti, S., Liberati, D., Mazzola, G. andTroyer, P. (1985a) Black box modelling of VEP signals on the basis of impulse response in a linear time invariant system. Proc. 13th IASTED Int. Symp. on Modelling and Simulation, Lugano, Switzerland, 106–109.

  • Cerutti, S., Liberati, D. andMascellani, P. (1985b) Parameter extraction in EEG processing during riskful neurosurgical operations.Sig. Proc.,9, 25–35.

    Article  Google Scholar 

  • Cerutti, S., Liberati, D., Avanzini, G. andPanzica, F. (1985c) Classification of the EEG during neurosurgery: parametric identification and Kalman filtering compared.J. Biomed. Eng.,8, 244–254.

    Google Scholar 

  • Cerutti, S., Bersani, V., Carrara, A. andLiberati, D. (1987a) Analysis of visual evoked potentials through Wiener filtering applied to a small number of sweeps. ——Ibid.,9, 3–12.

    Google Scholar 

  • Cerutti, S., Baselli, G., Liberati, D. andPavesi, G. (1987b) Single sweep analysis of visual evoked potentials through a model of parametric identification.Biol. Cybern.,56, 111–120.

    Article  Google Scholar 

  • Chiappa, K. H. (1983)Evoked potentials in clinical medicine. Raven Press, New York.

    Google Scholar 

  • de Weerd, J. P. C. andKap, J. I. (1981a)A posteriori time-varying filtering of average evoked potentials Part 1.Biol. Cybern.,41, 211–222.

    Article  MATH  Google Scholar 

  • de Weerd, J. P. C. andKap, J. I. (1981b)A posteriori time-varying filtering of averaged evoked potentials Part 2. ——Ibid.,41, 223–234.

    Article  MATH  Google Scholar 

  • Gevins, A. S. (1984) Analysis of the electromagnetic signals of the human brain: milestones, obstracles and goals.IEEE Trans.,BME-31, 833–850.

    Google Scholar 

  • Hallyday, A. M. (1982)Evoked potentials in clinical testing. Churchill, Edinburgh.

    Google Scholar 

  • Isaksson, A., Wennberg, A. andZetterberg, L. H. (1981) Computer analysis of EEG signals with parametric models.Proc. IEEE,69, 451–461.

    Article  Google Scholar 

  • Jansen, B., Bourne, J. andWard, J. (1981) Autoregressive estimation of short segment for computerized EEG analysis.IEEE Trans.,BME-28, 630–638.

    Google Scholar 

  • Jazwinsky, A. H. (1970)Stochastic process and filtering theory. Academic Press.

  • Kalman, R. E. (1960) A new approach to linear filtering and prediction problems.J. Basic Eng.,82D, 33–34.

    Google Scholar 

  • Lawson, O. andHanson, R. (1974)Solving least square problems. Prentice Hall, London.

    Google Scholar 

  • McGillem, C. D., Aunon, J. I. andYu, K. (1985) Signals and noise in evoked brain potentials.IEEE Trans.,BME-32, 1012–1016.

    Google Scholar 

  • Mocks, J., Gasser, T. andDinh Tuan, P. (1984) Variability of the single evoked potentials evaluated by two new statistical tests.Electroenceph. Clin. Neurophysiol.,57, 571–580.

    Article  Google Scholar 

  • Perry, N. W. Jr andChilders, D. G. (1969)The human visual evoked response: method and theory. Charles C. Thomas, Springfield, Illinois.

    Google Scholar 

  • Regan, D. (1972)Evoked potentials in psychology, sensory psychology, and clinical medicine. Chapman & Hall, London.

    Google Scholar 

  • Ungan, P. andBasar, E. (1976) Comparison of Wiener filtering and selective averaging of evoked potentials.Electroenceph. Clin. Neurophysiol.,40, 516–520.

    Article  Google Scholar 

  • Youla, D. C. (1961) On the factorization of rational matrices.IRE Trans.,IT-17, 172–189.

    Google Scholar 

  • Zetterberg, L. (1969) Estimation of parameters for linear differences equation applied to EEG analysis.Math. Biosci.,5, 227–275.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liberati, D., Bertolini, L. & Colombo, D.C. Parametric method for the detection of inter- and intrasweep variability in VEP processing. Med. Biol. Eng. Comput. 29, 159–166 (1991). https://doi.org/10.1007/BF02447102

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02447102

Keywords

Navigation