Equi-coverage Contours in Cellular Networks
Mehrnaz Afshang, Chiranjib Saha, and Harpreet S. Dhillon

TL;DR
This paper develops a comprehensive model for cellular networks incorporating general spatial distributions, multi-slope pathloss, and independent fading, deriving coverage contours that unify various network configurations.
Contribution
It introduces a versatile cellular network model with coupled user and BS distributions, multi-slope pathloss, and derives coverage contours for diverse configurations.
Findings
Derived coverage contours for various network parameters.
Unified the analysis for different spatial distributions.
Provided insights into coverage probability behavior.
Abstract
In this letter, we introduce a general cellular network model where i) users and BSs are distributed as two general point processes that may be coupled, ii) pathloss is assumed to follow a multi-slope power-law pathloss model, and iii) fading (power) is assumed to be independent across all wireless links. For this setup, we first obtain a set of contours representing the same meta distribution of SIR, which is the distribution of the conditional coverage probability given the point process, for different values of the parameters of the pathloss function and BS and user point processes. This general result is then specialized to 3GPP-inspired user and BS configurations obtained by combining Poisson point process (PPP) and Poisson cluster process (PCP).
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