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
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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
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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
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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
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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.
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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.
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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
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MFDFA: Efficient multifractal detrended fluctuation analysis in python
Computer Physics Communications, 2022 12 pages, 6 figures, software in https://github.com/LRydin ...
Leonardo Rydin Gorjao +2 more
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Objective differentiation of neonatal EEG background grades using detrended fluctuation analysis [PDF]
Frontiers in Human Neuroscience, 2015 A quantitative and objective assessment of background electroencephalograph (EEG) in sick neonates remains an everyday clinical challenge. We studied whether long range temporal correlations quantified by detrended fluctuation analysis (DFA) could be ...
Vladimir eMatic +12 more
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Power considerations for the application of detrended fluctuation analysis in gait variability studies. [PDF]
PLoS ONE, 2017 The assessment of gait variability using stochastic signal processing techniques such as detrended fluctuation analysis (DFA) has been shown to be a sensitive tool for evaluation of gait alterations due to aging and neuromuscular disease.
Nikita A Kuznetsov, Christopher K Rhea
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