English

Unique coverage in Boolean models

Information Theory 2016-08-09 v1 Networking and Internet Architecture math.IT

Abstract

Consider a wireless cellular network consisting of small, densely scattered base stations. A user uu is {\em uniquely covered} by a base station bb if uu is the only user within distance rr of bb. This makes it possible to assign the user uu to the base station bb without interference from any other user uu'. We investigate the maximum possible proportion of users who are uniquely covered. We solve this problem completely in one dimension and provide bounds, approximations and simulation results for the two-dimensional case.

Cite

@article{arxiv.1608.02032,
  title  = {Unique coverage in Boolean models},
  author = {Martin Haenggi and Amites Sarkar},
  journal= {arXiv preprint arXiv:1608.02032},
  year   = {2016}
}
R2 v1 2026-06-22T15:13:43.459Z