Long-range dependent alpha-stable impulsive noise in a Poisson field of interferers

In a wireless communication environment, interferers are often assumed to be Poisson distributed in space. While they are alive, they constantly emit pulses which interfere with signal reception at the observation point. Each transmitted pulse suffers a power-law attenuation with the distance to the receiver. It has been shown in the past that at baud rate sampling at the receiver, the interference is marginally α-stable. We consider the interference at different sampling points. We assume that the interferers have their own life of transmission sessions, the durations of which are heavy-tail distributed random variables. This assumption is consistent with the characteristics of multimedia traffic. We show that the resulting interference at different sampling points is a jointly α-stable process and exhibits long-range dependence in the generalized sense. Numerical simulations are consistent with our theoretical findings