Section: New Results

Stronger Wireless Signals Appear More Poisson

This work contributes to the line of research on Poisson convergence in wireless networks with strong shadowing initiated in  [37], [35]. More recently, Keeler, Ross and Xia derived in  [51] 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 a small proportion having a strong signal. The aim of [12] is to apply some of the main results of  [51] in a less general but more easily applicable form, to illustrate how the results can apply to functions of the point process of signal strengths, and to gain intuition on when the Poisson model for transmitter locations is appropriate. A new and useful observation is that it is the stronger signals that behave more Poisson, which supports recent experimental work.