Highly dense mobile networks with random fadings
Abstract
Master thesis at TU Berlin with Wolfgang K\"{o}nig, April 2016. We investigate a wireless network where the users are located according to a Poisson point process in a bounded subset of R^d, in the high-density limit. Assuming that the users have i.i.d. random fadings, interpreted as their loudnesses, we describe the large deviation properties of rare frustration events. This provides a variational formula, which we analyze in more detail, in order to describe the most likely settings with unusually many users who experience bad connection. We also compare effects coming from the random spatial positions of the users with effects coming from the random fadings. Keywords: wireless communication, relaying, random fadings, high-density limit, large deviations, discretization, frustration probabilities, minimizers of relative entropy, average loudness.
Cite
@article{arxiv.1606.06473,
title = {Highly dense mobile networks with random fadings},
author = {András József Tóbiás},
journal= {arXiv preprint arXiv:1606.06473},
year = {2016}
}
Comments
5 figures. arXiv admin note: substantial text overlap with arXiv:1510.04146 by other authors