TY - JOUR

T1 - A tutorial introduction to adaptive fractal analysis

AU - Riley, Michael A.

AU - Bonnette, Scott

AU - Kuznetsov, Nikita

AU - Wallot, Sebastian

AU - Gao, Jianbo

PY - 2012/10/10

Y1 - 2012/10/10

N2 - The authors present a tutorial description of adaptive fractal analysis (AFA). AFA utilizes an adaptive detrending algorithm to extract globally smooth trend signals from the data and then analyzes the scaling of the residuals to the fit as a function of the time scale at which the fit is computed. The authors present applications to synthetic mathematical signals to verify the accuracy of AFA and demonstrate the basic steps of the analysis. The authors then present results from applying AFA to time series from a cognitive psychology experiment on repeated estimation of durations of time to illustrate some of the complexities of real-world data. AFA shows promise in dealing with many types of signals, but like any fractal analysis method there are special challenges and considerations to take into account, such as determining the presence of linear scaling regions.

AB - The authors present a tutorial description of adaptive fractal analysis (AFA). AFA utilizes an adaptive detrending algorithm to extract globally smooth trend signals from the data and then analyzes the scaling of the residuals to the fit as a function of the time scale at which the fit is computed. The authors present applications to synthetic mathematical signals to verify the accuracy of AFA and demonstrate the basic steps of the analysis. The authors then present results from applying AFA to time series from a cognitive psychology experiment on repeated estimation of durations of time to illustrate some of the complexities of real-world data. AFA shows promise in dealing with many types of signals, but like any fractal analysis method there are special challenges and considerations to take into account, such as determining the presence of linear scaling regions.

KW - Psychology

KW - Adaptive fractal analysis

KW - Biosignal processing

KW - Fractal physiology

KW - Non-linear analysis

KW - Time series analysis

UR - http://www.scopus.com/inward/record.url?scp=84867116959&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/56f5da1c-3a68-3937-a506-06e5d6665ec4/

U2 - 10.3389/fphys.2012.00371

DO - 10.3389/fphys.2012.00371

M3 - Journal articles

AN - SCOPUS:84867116959

VL - 3

JO - Frontiers in Physiology

JF - Frontiers in Physiology

SN - 1664-042X

IS - Sep

M1 - 371

ER -