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Article
Unique coverage in Boolean models
Statistics & Probability Letters (2017)
  • Martin Haenggi, University of Notre Dame
  • Amites Sarkar, Western Washington University
Abstract
Consider a wireless cellular network consisting of small, densely scattered base stations. A user u is uniquely covered by a base station b if u is the only user within distance r of b. This makes it possible to assign the user u to the base station b without interference from any other user u. 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.
Keywords
  • coverage,
  • Poisson process,
  • Boolean model,
  • Cellular network
Publication Date
January 4, 2017
DOI
10.1016/j.spl.2016.11.020
Citation Information
Martin Haenggi and Amites Sarkar. "Unique coverage in Boolean models" Statistics & Probability Letters Vol. 123 (2017) p. 1 - 7
Available at: http://works.bepress.com/amites_sarkar/18/