On modelling of aggregated teletraffic using generalized Fokker-Planck equation

Past decade seen a dramatic increase in wideband communication traffic in wireless environment. It was observed on a numerous occasions that the arrival time of a traffic load cannot be assumed to have an exponential-type correlation function due to a long-term dependence in such traffic [1]. This paper considers a methods of generation of random processes with long-term correlation using deterministic non-linear systems excited by fractional Brownian motion. The suggested model has certain advantages over other techniques since it allows a wide range of analytical results and can be used for non-Gaussian processes with long-range memory. Questions of numerical simulation are also considered.