Abstract
The method of spectral dynamics is introduced to process slow changes in EEG. This method is based on evaluation of distance between EEG spectra. The typical application field is pharmaco-EEG after single dose drug administration, where distances between pre and post drug EEG spectra are computed. The distance between two spectra may be, however, defined in several different ways. The paper deals with the well known L p metrics and with the metrics α that plays an important role in discriminating stationary processes with different spectra. The L p and α metrics are non-equivalent and their properties, consistency and robustness, are studied in a simple statistical model.
Similar content being viewed by others
References
Albrecht V (1984) On the convergence of probability of error in Bayesian discrimination between two Gaussian processes. In: Mandl P, Hušková M (eds) Proc of the third Prague symposium on asymptotic statistics. Elsevier, Amsterdam pp 165–175
Albrecht V, Hönig J, Palus M, David I (1991) Developing tools for pharmaco-EEG: the spectral dynamics. In: Dvořák I, Holden AV (eds) Proc of the International Symposium Mathematical Approaches to Brain Functioning Diagnostic, Prague 1990, Manchester University Press, Manchester, New York, pp 271–282
Berger H (1929) Über das Elektroenzephalogramme des Menschen. Arch Psychiatr Nervenkr 87:527–570
Dixon WJ (1990) BMDP Statistical software manual. University of California Press, Berkeley Los Angeles Oxford
Herrmann WM (1982) Development and critical evaluation of an objective procedure for the electroencephalographic classification of psychotropic drugs. In Herrmann WM (ed) Electroencephalography in drug research. Fischer, Stuttgart New York, pp 249–351
Irwin P (1982) Spectral difference index: a single EEG measure of drug effect. Electroencephalogr Clin Neurophysiol 54:342–346
Itil TM, Shapiro DM, Herrmann WM, Schulz W, Morgan V (1979) HZI systems for parameterization and classification of psychotropic drugs. Pharmakopsychiatry 12:4–19
Karhunen K (1947) Über lineare Methoden in der Wahrscheinlikeitsrechnung. Ann Acad Sci Fennicae I, Math-Physica 37
Künkel H (1982) On some hypotheses underlying pharmaco-electroencephalography. In: Herrmann WM (ed) Electro-encephalography in drug research. Fischer, Stuttgart, pp 1–16
Page CH (1952) Instantaneous power spectra. J Appl Phys 23:103–106
Pemberton J, Tong H (1983) Thresholds autoregression and some frequency domain characteristics. In: Brillinger DR, Krishnaiah PR (eds) Handbook of statistics, Vol HI: Time series in the frequency domain. North Holland, Amsterdam, pp 249–274
Priestley MB (1965) Evolutionary spectra and non-stationary time series. J R Stat Soc Ser B 27:204–237
Priestley MB (1981) Spectral analysis and time series. Academic Press, London
Saletu B, Grünberger J (1979) Evaluation of pharmacodynamic properties of psychotropic drugs: quantitative EEG, psychotropic and blood level investigations in normals and patients. Pharmakopsychiatry 12:45–58
Sannita WG, Gervasio L, Zagnoni P (1989) Quantitative EEG effects and plasma concentration of sodium valporate: acute and longterm administration to epileptic patients. Neuropsychobiology 22:231–235
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Albrecht, V., Paluš, M. The spectral dynamics and its applications in EEG. Biol. Cybern. 66, 71–78 (1991). https://doi.org/10.1007/BF00196454
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00196454