Using detrended fluctuation analysis for lagged correlation analysis of nonstationary signals.

Here we propose a method, based on detrended fluctuation analysis (DFA), to investigate lagged correlations for nonstationary time series. The aim is to show that the largest correlation can be found at positive lags, reflecting the existence of underlying delays in the evolution of real time sequences. The performance of the lagged DFA method is illustrated by selected real examples.

[1]  H E Stanley,et al.  Statistical physics and physiology: monofractal and multifractal approaches. , 1999, Physica A.

[2]  Wei-Xing Zhou,et al.  Detrended fluctuation analysis for fractals and multifractals in higher dimensions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  J. Elsner,et al.  Fluctuations in North Atlantic hurricane frequency , 1999 .

[4]  S. Havlin,et al.  Comparison of detrending methods for fluctuation analysis , 2008, 0804.4081.

[5]  Djordje Stratimirović,et al.  Detrended fluctuation analysis of time series of a firing fusimotor neuron , 1999 .

[6]  Michael A. Huffman,et al.  Fractal Long‐Range Correlations in Behavioural Sequences of Wild Chimpanzees: a Non‐Invasive Analytical Tool for the Evaluation of Health , 2000 .

[7]  T. Seppänen,et al.  Physiological Background of the Loss of Fractal Heart Rate Dynamics , 2005, Circulation.

[8]  P. Cizeau,et al.  CORRELATIONS IN ECONOMIC TIME SERIES , 1997, cond-mat/9706021.

[9]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[10]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[11]  Akihiro Nakayama,et al.  Power-Law Fluctuation in Expressway Traffic Flow: Detrended Fluctuation Analysis , 2006 .

[12]  D L Eckberg,et al.  Physiological basis for human autonomic rhythms , 2000, Annals of medicine.

[13]  Pere Caminal,et al.  Detrended Fluctuation Analysis of EEG as a Measure of Depth of Anesthesia , 2007, IEEE Transactions on Biomedical Engineering.

[14]  S. Malpas Neural influences on cardiovascular variability: possibilities and pitfalls. , 2002, American journal of physiology. Heart and circulatory physiology.

[15]  S. Havlin,et al.  Indication of a Universal Persistence Law Governing Atmospheric Variability , 1998 .

[16]  Mauro Ursino,et al.  Role of the Baroreflex in Cardiovascular Instability: A Modeling Study , 2001 .

[17]  Akihiko Kikuchi,et al.  Detrended Fluctuation Analysis of Heart Rate Variability in Normal and Growth-Restricted Fetuses , 2007, Gynecologic and Obstetric Investigation.

[18]  L. Telesca,et al.  Detrended fluctuation analysis of the spatial variability of the temporal distribution of Southern California seismicity , 2004 .