Multifractal spectrum and calculation

Multifractal theory is an effective tool for the singularity processing of signal, but only a few special sets have analytic multifractal spectrum expression. One of the formal system of multifractal theory was introduced and an approach to calculate the multifractal spectrum of general sets was presented. The approach makes use of the dynamic link data structure and decreases greatly the demand for memory. By means of the approach, the multifractal spectrum of Cantor set was calculated. The result is in accordance with the theoretical analysis, showing that the presented algorithm is valid.