Statistical Simulation and Processing of Self-Similar Traffic

Abstract

In the article methods of statistical simulation of fractional Brownian motion are investigated. The fractional Brownian motion is a process with stationary increments, which is constructed in the form of a Gaussian stationary process. With the help of the developed method, the implementations of self-similar traffic of telecommunication networks are simulated. On the real data, a statistical analysis of traffic was performed and the adequacy of the model based on the fractional Brownian motion was checked.