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Peer-reviewedCC BY 4.0Axioms

A Novel Approach to Alpha Spindle Analysis

  • Oksana Kharchenko1
  • Volodymyr Chumakov2
  • Zlatinka Kovacheva1,3
  • Liudmyla Zabrodina4
  • Velin Andonov1
4 affiliations
  1. 1Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria
  2. 2Department of Design and Operation of Electronic Devices, Kharkiv National University of Radio Electronics, 14 Nauky Ave., 61023 Kharkiv, Ukraine
  3. 3Department of Mathematics and Informatics, University of Mining and Geology, Boyan Kamenov Str., Student Complex, 1700 Sofia, Bulgaria
  4. 4Department of Sleep Medicine, Institute of Neurology, Psychiatry and Narcology, National Academy of Medical Sciences, 46 Akademika Pavlova Str., 61068 Kharkiv, Ukraine
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Abstract

The article examines alpha-rhythm spindles. The importance of studying alpha rhythm spindles for improving the reliability of nervous system diagnostics is substantiated. The analysis employs a mathematical framework based on the Hilbert transform as well as spectral analysis based on the classical Fourier transform. Using the Hilbert transform, the instantaneous frequency of the spindles is determined. It is shown that a spindle is not an amplitude-modulated oscillation and a spindle can be described using the beating method. Two frequencies are obtained that determine the frequency composition of the spindles. It is shown that the beating method is more accurate compared to the Fourier transform.

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Cite

BibTeXRIS
BibTeX
@article{kharchenko2026novel,
  title = {{A Novel Approach to Alpha Spindle Analysis}},
  author = {Oksana Kharchenko and Volodymyr Chumakov and Zlatinka Kovacheva and Liudmyla Zabrodina and Velin Andonov},
  journal = {Axioms},
  year = {2026},
  month = nov,
  doi = {10.3390/axioms15110820},
  url = {https://www.mdpi.com/2075-1680/15/11/820},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - A Novel Approach to Alpha Spindle Analysis
AU  - Oksana Kharchenko
AU  - Volodymyr Chumakov
AU  - Zlatinka Kovacheva
AU  - Liudmyla Zabrodina
AU  - Velin Andonov
PY  - 2026
DA  - 2026/11/04
JO  - Axioms
DO  - 10.3390/axioms15110820
UR  - https://www.mdpi.com/2075-1680/15/11/820
AB  - The article examines alpha-rhythm spindles. The importance of studying alpha rhythm spindles for improving the reliability of nervous system diagnostics is substantiated. The analysis employs a mathematical framework based on the Hilbert transform as well as spectral analysis based on the classical Fourier transform. Using the Hilbert transform, the instantaneous frequency of the spindles is determined. It is shown that a spindle is not an amplitude-modulated oscillation and a spindle can be described using the beating method. Two frequencies are obtained that determine the frequency composition of the spindles. It is shown that the beating method is more accurate compared to the Fourier transform.
SN  - 2075-1680
ER  -