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arXiv · 1510.04146

Large deviations in relay-augmented wireless networks

Christian Hirsch·Benedikt Jahnel·Paul Keeler·Robert I. A. Patterson
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Abstract

We analyze a model of relay-augmented cellular wireless networks. The network users, who move according to a general mobility model based on a Poisson point process of continuous trajectories in a bounded domain, try to communicate with a base station located at the origin. Messages can be sent either directly or indirectly by relaying over a second user. We show that in a scenario of an increasing number of users, the probability that an atypically high number of users experiences bad quality of service over a certain amount of time, decays at an exponential speed. This speed is characterized via a constrained entropy minimization problem. Further, we provide simulation results indicating that solutions of this problem are potentially non-unique due to symmetry breaking. Also two general sources for bad quality of service can be detected, which we refer to as isolation and screening.

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Christian Hirsch, Benedikt Jahnel, Paul Keeler, Robert I. A. Patterson. 2016-02-15. Large deviations in relay-augmented wireless networks. https://arxiv.org/abs/1510.04146

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