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 7
Accuracy of the new amplitude spectrum fractal dimension method (MAFDM; red curves; = 1) compared to Higuchi’s method and the MRBC method, tested with the following continuous nowhere differentiable functions (CNDFs): Knopp/Takagi function (a); Weierstrass cosine function (b); Weierstrass-Mandelbrot function (c); Brownian motion (d).
