TL;DR
This paper analyzes user point processes in cellular networks, providing new characterizations and approximations for modeling user distributions and their spatial properties under different network load conditions.
Contribution
It offers accurate pair correlation function characterizations and studies key spatial metrics for two popular user process models, including asymptotic behaviors.
Findings
Derived pair correlation functions for user and base station processes.
Approximated user processes by Poisson and Ginibre point processes.
Analyzed cell vacancy probability and user-base station distances.
Abstract
The point process of concurrent users is critical for the analysis of cellular networks, in particular for the uplink and for full-duplex communication. We analyze the properties of two popular models. For the first one, we provide an accurate characterization of the pair correlation functions from the user and the base station point of view, which are applied to approximate the user process by Poisson and Ginibre point processes. For the second model, which includes the first model asymptotically, we study the cell vacancy probability, the mean area of vacant and occupied cells, the user-base station distance, and the pair correlation function in lightly and heavily loaded regimes.
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