ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Stepanyan I. V., Lednev M. Y. Investigation of wave processes and rhythmic activity of the human brain using the Walsh orthogonal function system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2025, vol. 33, iss. 4, pp. 545-556. DOI: 10.18500/0869-6632-003175, EDN: UYYJRQ

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Language: 
Russian
Heading: 
Nonlinear Dynamics and Neuroscience
Article type: 
Article
UDC: 
004.92, 612.82, 517.518.36
DOI: 
10.18500/0869-6632-003175
EDN: 
UYYJRQ

Investigation of wave processes and rhythmic activity of the human brain using the Walsh orthogonal function system

Autors: 
Stepanyan Ivan Viktorovich, Blagonravov Mechanical Engineering Research Institute of RAS
Lednev Mikhail Yuryevich, Blagonravov Mechanical Engineering Research Institute of RAS
Abstract: 

The purpose of this work is to study the wave processes and rhythmic activity of the brain based on multiscale parametric maps of electroencephalograms obtained as a result of algorithmic application of a system of discrete functions.

Methods. For visualization, a previously developed multi-scale method for constructing parametric mappings of molecular genetic information was used, in which a set of four nucleotides is considered as a system of orthogonal Walsh functions.

Results. The article proposes a new method of visualization of electroencephalography data for the study of rhythmic and wave processes of bioelectric activity of the brain. To analyze the electroencephalography data, the stage of transcoding the recorded amplitudes was previously carried out by one-to-one conversion of the EEG signal into a symbolic sequence, the alphabet of which consisted of four characters. Based on this method, the EEG signals of the subject were compared at rest and under mental stress. The study analyzed the readings of electrodes registering biopotentials of the frontal lobes of the brain.

Conclusion. New methods have made it possible to identify various configurations of clusters in the frequency space of visualization, which can be used for comparative analysis of encephalograms and identification of features of recorded EEG signals. Specialized software has been developed as a tool for studying the rhythmic activity of the brain by constructing parametric displays of electroencephalograms.
 

Key words: 
visualization algorithms
EEG
biopotentials
orthogonal function system
software
cluster analysis
Acknowledgments: 
The work was performed within the framework of the State Assignment, code of scientific topic FFGU-2024-0019.
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Received: 
08.10.2024
Accepted: 
24.02.2025
Available online: 
22.04.2025
Published: 
31.07.2025
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