Abstract
A method of detrended fluctuation analysis (DFA) is considered, which enables studying long-range correlations in non-stationary processes. Its modification is proposed that includes estimation of an additional quantity, namely, a scaling exponent characterizing the effects of non-stationarity in the experimental data. Using the dynamics of blood flow velocity in cerebral vessels as an example, the possibilities of a quantitative description of changes in the signal structure using the proposed modification of DFA are shown.
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