A tutorial introduction to adaptive fractal analysis
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In: Frontiers in Physiology, Vol. 3, No. Sep, 371, 10.10.2012.
Research output: Journal contributions › Journal articles › Research › peer-review
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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 -