Large-Deviation Principles for Connectable Receivers in Wireless Networks
In this paper, the authors study large-deviation principles for a model of wireless networks consisting of Poisson point processes of transmitters and receivers, respectively. To each transmitter they associate a family of connectable receivers whose signal-to-interference-and-noise ratio is larger than a certain connectivity threshold. First, they show a large-deviation principle for the empirical measure of connectable receivers associated with transmitters in large boxes. Second, making use of the observation that the receivers connectable to the origin form a Cox point process, they derive a large-deviation principle for the rescaled process of these receivers as the connection threshold tends to zero.