Multifractal formalism combined with multiresolution wavelet analysis of physiological signals
Saratov State University, Astrakhanskaya Str. 83, 410012, Saratov, Russia
2 Regional Scientific and Educational Mathematical Center “Mathematics of Future Technologies”, 410012, Saratov, Russia
Accepted: 26 October 2022
Published online: 4 November 2022
An approach to the processing of physiological signals is considered combining multifractal formalism with multiresolution wavelet analysis, which involves the transition from the original signals to sets of detail wavelet-coefficients related to different levels of resolution. This transition could expand the possibilities of multifractal analysis from the viewpoint of physiological interpretation of the results. In particular, changes in the singularity spectra due to variations in system behavior are associated with specific frequency regions, what simplifies their description and can provide a link between observed phenomena and changes in rhythms of electroencephalograms (EEG) or other physiological processes when the method is applied to datasets of different origins. We illustrate this approach using EEG signals during mental tasks solving.
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