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Singular Spectrum Analysis of Tremorograms for Human Neuromotor Reaction Estimation

Author

Listed:
  • Olga Bureneva

    (Department of Computer Science and Engineering, Saint Petersburg Electrotechnical University «LETI», 197022 Saint Petersburg, Russia)

  • Nikolay Safyannikov

    (Department of Computer Science and Engineering, Saint Petersburg Electrotechnical University «LETI», 197022 Saint Petersburg, Russia)

  • Zoya Aleksanyan

    (Institute of the Human Brain, Russian Academy of Sciences, 197376 Saint Petersburg, Russia)

Abstract

Singular spectrum analysis (SSA) is a method of time series analysis and is used in various fields, including medicine. A tremorogram is a biological signal that allows evaluation of a person’s neuromotor reactions in order to infer the state of the motor parts of the central nervous system (CNS). A tremorogram has a complex structure, and its analysis requires the use of advanced methods of signal processing and intelligent analysis. The paper’s novelty lies in the application of the SSA method to extract diagnostically significant features from tremorograms with subsequent evaluation of the state of the motor parts of the CNS. The article presents the application of a method of singular spectrum decomposition, comparison of known variants of classification, and grouping of principal components for determining the components of the tremorogram corresponding to the trend, periodic components, and noise. After analyzing the results of the SSA of tremorograms, we proposed a new algorithm of grouping based on the analysis of singular values of the trajectory matrix. An example of applying the SSA method to the analysis of tremorograms is shown. Comparison of known clustering methods and the proposed algorithm showed that there is a reasonable correspondence between the proposed algorithm and the traditional methods of classification and pairing in the set of periodic components.

Suggested Citation

  • Olga Bureneva & Nikolay Safyannikov & Zoya Aleksanyan, 2022. "Singular Spectrum Analysis of Tremorograms for Human Neuromotor Reaction Estimation," Mathematics, MDPI, vol. 10(11), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1794-:d:822775
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    References listed on IDEAS

    as
    1. Mahdi Kalantari & Hossein Hassani, 2019. "Automatic Grouping in Singular Spectrum Analysis," Forecasting, MDPI, vol. 1(1), pages 1-16, October.
    2. Matias Busso & Maria P. Gonzalez & Carlos Scartascini, 2022. "On the demand for telemedicine: Evidence from the COVID‐19 pandemic," Health Economics, John Wiley & Sons, Ltd., vol. 31(7), pages 1491-1505, July.
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    Cited by:

    1. Hadeel E. Khairan & Salah L. Zubaidi & Syed Fawad Raza & Maysoun Hameed & Nadhir Al-Ansari & Hussein Mohammed Ridha, 2023. "Examination of Single- and Hybrid-Based Metaheuristic Algorithms in ANN Reference Evapotranspiration Estimating," Sustainability, MDPI, vol. 15(19), pages 1-22, September.

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