Figure 4.

Numerical demonstration of the scaling function decomposition method. The two signal components (fractal and noise) of the bimodal signal are the same as shown in Figure 3. From these components, two bimodal signals were obtained: one by adding the raw signals (black) and the other their respective scaling functions (dashed gray). The three points represent exemplary values for this process at a given scale. The identical scaling functions demonstrate the validity of Equation (7) in the quantitative handling of bimodality—or for that matter—multimodality.