Analysis of tail probability of interference at a node in 2-dimensional homogeneous poisson point process

Abstract

In the previous works [1], [6], [7], [8], the upper bound and the lower bound of tail probability of the interference was calculated in the case of 2-dimensional homogeneous Poisson point process (PPP). In this paper, new bounds are achieved using theory of PPP when the nodes have Rayleigh fading or Lognormal shadowing. In fact, we provide the way that can be applied for the any case of other fading. The tightness of the bounds are also studied and compared to the tail probability of the distribution simulated in MATLAB.