A Geometry-Inclusive Fading Model for Random Wireless Networks

Abstract

A new fading model is proposed and discussed that combines the uncertainties in the transmission distance as well as small-scale fading. If nodes are assumed to be distributed according to a Poisson point process and the fading is Rayleigh, the joint fading distribution is particularly simple. Interpreting fading as a stochastic mapping, we show that a node cannot infer on the presence of fading by measuring link qualities. Other applications of the fading model include connectivity, opportunistic communication, and probabilistic progress