A Robust Algorithm for Optimisation and Customisation of Fractal Dimensions of Time Series Modified by Nonlinearly Scaling Their Time Derivatives: Mathematical Theory and Practical Applications
Figure 10
Acceleration of a wheelchair recorded at 60 Hz during a wheelchair rugby match (data from [15]) against time (c); the two arrows refer to the time data with the lowest and highest used for determining the amplitude spectrum of Figure 11; (b) fractal dimension (running average with a window width of 151 data points over 2.5 s) of the acceleration signal calculated for different amplitude multipliers (cf. Figure 11); note that the fractal dimension at corresponds to the one calculated with Higuchi’s method in Figure 2; (a) optimised at .
