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Cumulant analysis in wavelet space for studying effects of aging on electrical activity of the brain

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  • Guyo, G.A.
  • Pavlov, A.N.
  • Pitsik, E.N.
  • Frolov, N.S.
  • Badarin, A.A.
  • Grubov, V.V.
  • Pavlova, O.N.
  • Hramov, A.E.

Abstract

Multiresolution wavelet analysis with thorough processing of decomposition coefficients using a set of cumulants is proposed as a way to improve the characterization of complex dynamics based on experimental data. The application of this approach for quantification the effects of aging in the responses of the electrical activity of the brain to fine motor tasks (clenching the fist) is considered. It is shown that young and elderly adults have significant differences in reactions to this type of movements carried out by the dominant and non-dominant hand. The characterization of inter-group distinctions using the skewness and kurtosis of the probability distribution of the wavelet decomposition coefficients outperforms the diagnostics of age-related differences based on standard deviation of this distribution.

Suggested Citation

  • Guyo, G.A. & Pavlov, A.N. & Pitsik, E.N. & Frolov, N.S. & Badarin, A.A. & Grubov, V.V. & Pavlova, O.N. & Hramov, A.E., 2022. "Cumulant analysis in wavelet space for studying effects of aging on electrical activity of the brain," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s096007792200248x
    DOI: 10.1016/j.chaos.2022.112038
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    References listed on IDEAS

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    1. Pavlova, O.N. & Guyo, G.A. & Pavlov, A.N., 2022. "Multiresolution wavelet analysis of noisy datasets with different measures for decomposition coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
    2. Pavlov, A.N. & Pavlova, O.N., 2021. "Enhanced multiresolution wavelet analysis of cerebrovascular dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
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