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Fractal Signals Characterization Using Fractal Dimension Approach

In study of many natural phenomena, as well as dynamic systems and processes, we have to analyze and process obtained experimental informations (data). It appears often, that these data could be better approximated by fractal structures rather by ordinary differentiable functions. By means of Mathematica program we have extracted fractal sets from choosen complex picture formats. The fractal dimension of extracted sets of points, calculated by box-counting (BC) method, shows good agreement with values calculated directly from known dynamics.

fractal signal; fractal dimension; signal characterization

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