Stronger Wireless Signals Appear More Poisson

Keeler et al. recently derived approximation and convergence results, which imply that the point process formed from the signal strengths received by an observer in a wireless network under a general statistical propagation model can be modeled by an inhomogeneous Poisson point process on the positive real line. The basic requirement for the results to apply is that there must be a large number of transmitters with different locations and random propagation effects. The aim of this letter is to apply some of the main results in a less general but more easily applicable form to illustrate how the results can be applied in practice. New results are derived that show, it is the strongest signals, after being weakened by random propagation effects, that behave like a Poisson process, which supports recent experimental work.