Analysis of brain hypersynchronization activity during an epileptic 
        discharge on the basis of EEG signal cone-shape kernel representation
        
         
        
        V.
Å. Antsiperov1, 
        
        Yu. V. Obukhov  1, G. D. Kuznetsova 2, V. V. Gnezditskiy
        3
 
        
         1 
        
        Kotel′nikov Institute of Radio-engineering and Electronics of RAS
        
        
        2 
        
        Institute of Higher Nervous Activity and Neurophysiology 
        of RAS
        
        
        3 
        
        
        Scientific Centre of Neurology of RAS
        
         
The paper is received on November 25, 2014
 
Abstract: In this article, we develop the previously proposed approach to the
problem of cortical rhythms detection. For the analysis of epileptic
discharges, which are the focus of the work previously proposed  one-parameter
(frequency) representation is extended to the two-parameter (scale-frequency).
This was done on the basis of reasoned model of epileptic discharges as a class
broadband pulse signals with variable rhythm and repetition, perhaps changing
the pulse shape. Bilateral interpretation of developed distribution - spectral,
based on analytical spectra and time based on multi-scale assessment of the ACF
is under discussion. At the end of the article we present the results of the
analysis of real containing a fragment of an epileptic discharge EEG record.
Key words:  time−frequency EEG analysis, epileptic discharge, multiscale
correlational analysis, analytic spectra.