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.
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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.
Bohlin, T. (1977) Analysis of EEG signals with changing spectra using Kalman estimator.Math. Biosci.,35, 221–259.
Box, G. E. P. andJenkins, G. M. (1976)Time series analysis, forecasting and control. Holden Day, San Francisco.
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.
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.
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.
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.
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.
Chiappa, K. H. (1983)Evoked potentials in clinical medicine. Raven Press, New York.
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.
de Weerd, J. P. C. andKap, J. I. (1981b)A posteriori time-varying filtering of averaged evoked potentials Part 2. ——Ibid.,41, 223–234.
Gevins, A. S. (1984) Analysis of the electromagnetic signals of the human brain: milestones, obstracles and goals.IEEE Trans.,BME-31, 833–850.
Hallyday, A. M. (1982)Evoked potentials in clinical testing. Churchill, Edinburgh.
Isaksson, A., Wennberg, A. andZetterberg, L. H. (1981) Computer analysis of EEG signals with parametric models.Proc. IEEE,69, 451–461.
Jansen, B., Bourne, J. andWard, J. (1981) Autoregressive estimation of short segment for computerized EEG analysis.IEEE Trans.,BME-28, 630–638.
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.
Lawson, O. andHanson, R. (1974)Solving least square problems. Prentice Hall, London.
McGillem, C. D., Aunon, J. I. andYu, K. (1985) Signals and noise in evoked brain potentials.IEEE Trans.,BME-32, 1012–1016.
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.
Perry, N. W. Jr andChilders, D. G. (1969)The human visual evoked response: method and theory. Charles C. Thomas, Springfield, Illinois.
Regan, D. (1972)Evoked potentials in psychology, sensory psychology, and clinical medicine. Chapman & Hall, London.
Ungan, P. andBasar, E. (1976) Comparison of Wiener filtering and selective averaging of evoked potentials.Electroenceph. Clin. Neurophysiol.,40, 516–520.
Youla, D. C. (1961) On the factorization of rational matrices.IRE Trans.,IT-17, 172–189.
Zetterberg, L. (1969) Estimation of parameters for linear differences equation applied to EEG analysis.Math. Biosci.,5, 227–275.
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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
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DOI: https://doi.org/10.1007/BF02447102