Stronger wireless signals appear more Poisson

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Date
2016
Volume
2327
Issue
Journal
Series Titel
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

Keeler, Ross and Xia [1] 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 modelled 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 note is to apply some of the main results of [1] 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 that it is the strongest signals, after being weakened by random propagation effects, that behave like a Poisson process, which supports recent experimental work.

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Keywords
Poisson process, wireless networks, approximation bounds
Citation
Keeler, P., Ross, N., Xia, A., & Błaszczyszyn, B. (2016). Stronger wireless signals appear more Poisson (Vol. 2327). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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