Effect of trends on detrended fluctuation analysis.
TLDR
It is shown how to use DFA appropriately to minimize the effects of trends, how to recognize if a crossover indicates indeed a transition from one type to a different type of underlying correlation, or if the crossover is due to a trend without any transition in the dynamical properties of the noise.Abstract:
scaling behavior. We find that crossovers result from the competition between the scaling of the noise and the ‘‘apparent’’ scaling of the trend. We study how the characteristics of these crossovers depend on ~i! the slope of the linear trend; ~ii! the amplitude and period of the periodic trend; ~iii! the amplitude and power of the power-law trend, and ~iv! the length as well as the correlation properties of the noise. Surprisingly, we find that the crossovers in the scaling of noisy signals with trends also follow scaling laws—i.e., long-range power-law dependence of the position of the crossover on the parameters of the trends. We show that the DFA result of noise with a trend can be exactly determined by the superposition of the separate results of the DFA on the noise and on the trend, assuming that the noise and the trend are not correlated. If this superposition rule is not followed, this is an indication that the noise and the superposed trend are not independent, so that removing the trend could lead to changes in the correlation properties of the noise. In addition, we show how to use DFA appropriately to minimize the effects of trends, how to recognize if a crossover indicates indeed a transition from one type to a different type of underlying correlation, or if the crossover is due to a trend without any transition in the dynamical properties of the noise.read more
Citations
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Altered phase interactions between spontaneous blood pressure and flow fluctuations in type 2 diabetes mellitus: Nonlinear assessment of cerebral autoregulation
Kun Hu,Chung-Kang Peng,Norden E. Huang,Norden E. Huang,Zhaohua Wu,Lewis A. Lipsitz,Jerry D. Cavallerano,Vera Novak +7 more
TL;DR: The findings indicate that Type 2 diabetes alters cerebral blood flow regulation over a wide frequency range and that this alteration can be reliably assessed from spontaneous oscillations in blood pressure and blood flow velocity during resting conditions.
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Multiscale Fluctuation-based Dispersion Entropy and its Applications to Neurological Diseases
Hamed Azami,Steven E. Arnold,Saeid Sanei,Zhuoqing Chang,Guillermo Sapiro,Javier Escudero,Anoopum S. Gupta +6 more
TL;DR: In this paper, a multiscale FDispEn (MFDE) is developed to quantify the physiological dynamics over multiple time scales, which is robust to the presence of baseline wanders or trends in the data.
Journal ArticleDOI
Minimizing the effect of trends on detrended fluctuation analysis of long-range correlated noise
TL;DR: In this article, a technique based on singular value decomposition (SVD) of the trajectory matrix is proposed to minimize the effect of linear, power-law, periodic and also quasi-periodic trends superimposed on long-range correlated power law noise.
Journal ArticleDOI
Temporal–spatial diversities of long-range correlation for relative humidity over China
Guangxing Lin,Xi Chen,Zuntao Fu +2 more
TL;DR: In this paper, long-range correlations of daily relative humidity anomaly records from 191 weather stations over China during 1951-2000 are analyzed by means of fluctuation analysis (FA) and detrended fluctuation analyses (DFA).
Journal ArticleDOI
Detrended fluctuation analysis predicts successful defibrillation for out-of-hospital ventricular fibrillation cardiac arrest.
Lian-Yu Lin,Men Tzung Lo,Patrick Chow-In Ko,Chen Lin,Wen-Chu Chiang,Yen-Bin Liu,Kun Hu,Kun Hu,Jiunn Lee Lin,Wen-Jone Chen,Matthew Huei-Ming Ma +10 more
TL;DR: The VF waveform analysis based on DFA could help predict first-shock defibrillation success in patients with OOHCA and the clinical utility of the approach deserves further investigation.
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