Statistical analysis of local fluctuations in the signal profile: application to electrocorticograms
Saratov State University, Astrakhanskaya Str. 83, 410012, Saratov, Russia
2 Regional Scientific and Educational Mathematical Center “Mathematics of Future Technologies”, 410012, Saratov, Russia
Accepted: 21 November 2023
Published online: 1 December 2023
Local fluctuations in the profile can vary significantly for nonstationarity signals produced, e.g., by physiological systems. To correctly identify distinctions between the states of such systems, these fluctuations should be processed thoroughly. In the current study, we apply extended detrended fluctuation analysis (EDFA) to simulated data with various signal distortions and to electrical activity signals in the brains of mice under normal conditions and after one day of sleep deprivation. We show that the latter states can be distinguished by several EDFA scaling exponents, but their performance is scale dependent. The maximum differences between the states quantified by conventional and extended fluctuation analysis may be associated with different scale ranges. We conclude that the statistical analysis of local fluctuations in the signal profile is useful for developing diagnostically significant markers of the system state.
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