Research on Multi-Fractal Wavelet Model Based on Different Distributed Multipliers

In order to synthesize and analyze network traffic, many specialists have been applying the beta Multi-fractal Wavelet Model (beta MWM) to do researches. In this paper, we adopted other two kinds of MWM, point-mass MWM and hybrid MWM, to compare with the beta MWM by synthesizing network traffic. Having done lots of experiments, analyzing and comparing real traffic with synthesized one, we found that the choice of beta-distribution wavelet multipliers Aj,k is not essential. According to the different properties of network traffic, we can use distributions with more parameters in the MWM. Meanwhile the traffic synthesized which is the most similar to the real one could be obtained by adjusting the scales. This is the foundation for the forecasting, controlling and optimal designing of the network traffic, and of simulating and managing of network, etc.