On the Validity of Detrended Fluctuation Analysis at Short Scales [PDF]
Entropy, 2021 Detrended Fluctuation Analysis (DFA) has become a standard method to quantify the correlations and scaling properties of real-world complex time series. For a given scale ℓ of observation, DFA provides the function F(ℓ), which quantifies the fluctuations
Pedro Carpena +2 more
doaj +6 more sources
Extended Detrended Fluctuation Analysis of Coarse-Grained Time Series [PDF]
Diagnostics, 2022 A coarse-graining procedure, which involves averaging time series in non-overlapping windows followed by processing of the obtained multiple data sets, is the initial step in the multiscale entropy computation method.
Alexander A. Koronovskii +7 more
doaj +4 more sources
Detrended fluctuation analysis of earthquake data [PDF]
Physical Review Research, 2021 The detrended fluctuation analysis (DFA) is extensively useful in stochastic processes to unveil the long-term correlation. Here, we apply the DFA to point processes that mimic earthquake data.
Takumi Kataoka +2 more
doaj +5 more sources
Introduction to multifractal detrended fluctuation analysis in matlab. [PDF]
Front Physiol, 2012 Fractal structures are found in biomedical time series from a wide range of physiological phenomena. The multifractal spectrum identifies the deviations in fractal structure within time periods with large and small fluctuations. The present tutorial is an introduction to multifractal detrended fluctuation analysis (MFDFA) that estimates the ...
Ihlen EA.
europepmc +7 more sources
Multifractal Detrended Fluctuation Analysis of Human gait Diseases [PDF]
Frontiers in Physiology, 2013 IIn this paper multifractal detrended fluctuation analysis is used to study the human gait time series for normal and diseased sets. It is observed that long range correlation is primarily responsible for the origin of multifractality.
Srimonti eDutta +2 more
doaj +5 more sources
Detrended fluctuation analysis: A scale-free view on neuronal oscillations [PDF]
Frontiers in Physiology, 2012 Recent years of research have shown that the complex temporal structure of ongoing oscillations is scale-free and characterized by long-range temporal correlations.
Richard eHardstone +7 more
doaj +9 more sources
Detrended fluctuation analysis based on best-fit polynomial
Frontiers in Environmental Science, 2022 Detrended fluctuation analysis (DFA) can quantify long-range correlation (LRC) and fractal scaling behavior of signal. We compared the results of variant DFA methods by varying the order of the polynomial and found that the order of 6 was relatively ...
Shanshan Zhao +5 more
doaj +2 more sources
Assessing the Temporal Organization of Walking Variability: A Systematic Review and Consensus Guidelines on Detrended Fluctuation Analysis. [PDF]
Front Physiol, 2020 Human physiological signals are inherently rhythmic and have a hallmark feature in that even distant intrasignal measurements are related to each other.
Ravi DK +5 more
europepmc +2 more sources
MFDFA: Efficient multifractal detrended fluctuation analysis in python [PDF]
Computer Physics Communications, 2021 12 pages, 6 figures, software in https://github.com/LRydin ...
Leonardo Rydin Gorjão +3 more
semanticscholar +5 more sources
Revisiting detrended fluctuation analysis. [PDF]
Sci Rep, 2012 Half a century ago Hurst introduced Rescaled Range (R/S) Analysis to study fluctuations in time series. Thousands of works have investigated or applied the original methodology and similar techniques, with Detrended Fluctuation Analysis becoming preferred due to its purported ability to mitigate nonstationaries.
Bryce RM, Sprague KB.
europepmc +4 more sources