局域网流量的多重分形谱分析及关联性研究 *

鉴于网络流量复杂的奇异特性 ,采用多重分形谱分析其丰富的结构特征。首先构造出局域网流量的多重分形谱 ,并分析其特点 ;然后分析了谱参数与平均流量变化图的分布特点 ;进一步研究了多重分形谱参数与平均流量对数的关联关系。研究结果显示 ,多重分形谱宽度的变化与网络流量的变化十分相似 ,且最大与最小概率的多重分形谱函数之差的变化在某种程度上比流量的波动要提前一个时段 ,该结果为采用多重分形谱实现网络流量预测奠定了理论基础。

Study on multifractal spectrum of LAN traffic and their correlations

Due to the singularity in the network traffic, this paper used the multifractal spectrums to study the structures of network traffic. At first, constructed and analyzed the multifractal spectrums. Then, studied the distributions of spectrum pa-rameter versus the netwok traffic. Further, presented the correlations between multifractal spectrum and logarithm of mean traf-fic. The result shows that the variation of width of multifractal spectrum is similar to that of network traffic. To some degree, the difference between maximum and minimum probability of multifractal spectrum is ahead to the wave of network traffic, and it is a fundamental route for the network traffic prediction.