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On an Approach to the Estimation of the Complexity of Curves (Using as an Example an Electroencephalogram of a Human Being)

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Abstract

A new approach to the estimation of the “complexity” of a continuous curve on a section is suggested. The basic idea of the approach consists in that the complexity of the curve must be estimated by a relative share of information, which is necessary for its recovery with a specified accuracy from a set of values in the finite number of points by means of a prescribed aggregate of methods. The suggested approach is illustrated by an estimate of the complexity of various fragments of an electroencephalogram (EEG) of a human being and can be used, in particular, for the macrostructural and microstructural analysis of the EEG.

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Authors and Affiliations

  1. Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia

    B. S. Darkhovskii

  2. Lomonosov State University, Moscow, Russia

    A. Ya. Kaplan & S. L. Shishkin

Authors
  1. B. S. Darkhovskii
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  2. A. Ya. Kaplan
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  3. S. L. Shishkin
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Darkhovskii, B.S., Kaplan, A.Y. & Shishkin, S.L. On an Approach to the Estimation of the Complexity of Curves (Using as an Example an Electroencephalogram of a Human Being). Automation and Remote Control 63, 468–474 (2002). https://doi.org/10.1023/A:1014758602482

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  • DOI: https://doi.org/10.1023/A:1014758602482

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