Journal article
Wireless Network Signals With Moderately Correlated Shadowing Still Appear Poisson
N Ross, D Schuhmacher
IEEE Transactions on Information Theory | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC | Published : 2017
Abstract
We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed deterministically or randomly according to a hard core or Poisson point process, and the signals are subjected to power law propagation loss and random propagation effects that may be correlated between transmitters. We provide bounds on the distance between the point process of signal strengths and a Poisson process with the same mean measure, assuming correlated log-normal shadowing. For "strong shadowing" and moderate correlations, we find that the signal strengths are close to a Poisson process, generalizing a recently s..
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Awarded by Australian Research Council
Funding Acknowledgements
Yu-Hsiu Paco Tseng assisted in running simulations, funded by a University of Melbourne Vacation Scholarship. Simulations were run in R [29] using the following packages: fields [49], hexbin [50], pracma [51], RandomFields [52], spatstat [53], stpp [54]. Figures 1 and 2 were produced using the ggplot2 package [55]. NR thanks the Institute for Mathematical Stochastics at Georg-August-University Gottingen for supporting a visit in 2015 during which work on this article took place. This work commenced while the authors were visiting the Institute for Mathematical Sciences, National University of Singapore in 2015, supported by the Institute. We thank Paul Keeler for stimulating discussions. We thank the referee and AE for helpful comments which have greatly improved the practical aspects of the paper.