SINR-based k-coverage probability in cellular networks with arbitrary shadowing

Holger Paul Keeler 1 Bartlomiej Blaszczyszyn 1 Mohamed Kadhem Karray 2
1 DYOGENE - Dynamics of Geometric Networks
DI-ENS - Département d'informatique de l'École normale supérieure, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8548
Abstract : We give numerically tractable, explicit integral expressions for the distribution of the signal-to-interference-and-noise-ratio (SINR) experienced by a typical user in the down-link channel from the k-th strongest base stations of a cellular network modelled by Poisson point process on the plane. Our signal propagation-loss model comprises of a power-law path-loss function with arbitrarily distributed shadowing, independent across all base stations, with and without Rayleigh fading. Our results are valid in the whole domain of SINR, in particular for SINR<1, where one observes multiple coverage. In this latter aspect our paper complements previous studies reported in [Dhillon et al. JSAC 2012].
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Holger Paul Keeler, Bartlomiej Blaszczyszyn, Mohamed Kadhem Karray. SINR-based k-coverage probability in cellular networks with arbitrary shadowing. ISIT 2013 IEEE International Symposium on Information Theory, Jul 2013, Istanbul, Turkey. ⟨10.1109/ISIT.2013.6620410⟩. ⟨hal-00781574v3⟩

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