Unique coverage in Boolean models

Martin Haenggi; Amites Sarkar

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arXiv · 1608.02032

Unique coverage in Boolean models

Martin Haenggi·Amites Sarkar

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Abstract

Consider a wireless cellular network consisting of small, densely scattered base stations. A user $u$ is {\em 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.

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Martin Haenggi, Amites Sarkar. 2016-08-05. Unique coverage in Boolean models. https://arxiv.org/abs/1608.02032

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