Research Article

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 3

(a) Acceleration signal of Figure 1 from 337 s-338 s; ; (b) -differential (time derivative of the signal) (Higuchi’s method) and Euclidean distance at different against time ( is normalised such that the average and the area under the curves are identical in all 3 datasets); (c) Euclidean distance at different against -differential .
178476.fig.003a
(a)
178476.fig.003b
(b)
178476.fig.003c
(c)