Robust calculation of slopes in detrended fluctuation analysis and its application to envelopes of human alpha rhythms.

ABSTRACT: Detrended fluctuation analysis (DFA) is a popular method to analyze long-range temporal correlations in time series of many different research areas but in particular also for electrophysiological recordings. Using the classical DFA method, the cumulative sum of data are divided into segments, and the variance of these sums is studied as a function of segment length after linearly detrending them in each segment. The starting point of the proposed new method is the observation that the classical method is inherently non-stationary without justification by a corresponding non-stationarity of the data. This leads to unstable estimates of fluctuations to the extent that it is impossible to estimate slopes of the fluctuations other than by fitting a line over a wide range of temporal scales. W

SUBMITTER: Nolte G 

PROVIDER: S-EPMC6474881 | biostudies-literature | 2019 Apr

REPOSITORIES: biostudies-literature