English

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

Networking and Internet Architecture 2014-01-17 v3 Information Theory math.IT Probability

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].

Keywords

Cite

@article{arxiv.1301.6491,
  title  = {SINR-based k-coverage probability in cellular networks with arbitrary shadowing},
  author = {Holger Paul Keeler and Bartlomiej Blaszczyszyn and Mohamed Kadhem Karray},
  journal= {arXiv preprint arXiv:1301.6491},
  year   = {2014}
}
R2 v1 2026-06-21T23:16:17.210Z