A tutorial introduction to adaptive fractal analysis

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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.

Original languageEnglish
Article number371
JournalFrontiers in Physiology
Volume3
Issue numberSep
Number of pages10
DOIs
Publication statusPublished - 10.10.2012
Externally publishedYes

    Research areas

  • Psychology - Adaptive fractal analysis, Biosignal processing, Fractal physiology, Non-linear analysis, Time series analysis

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