Seasonal Statistics of Shannon Rate in a Dynamical Poisson-Voronoi Cellular Network
Abstract
In this work we consider a dynamical cellular communication network in which mobile base stations (BSs) are modeled as a homogeneous Poisson point process on ℝ2. Each base station moves at a constant speed in a random direction. A typical user connects to the nearest base station and it experiences variable signal and interference powers depending on the distance of all the stations. Along the motion of the stations, the user swaps its serving station, and such an event is called a {\em handover}. We are interested in the performance evaluation of the system under some classical and tropical metrics of interest at different time of events, inducing handovers, maximal proximity of serving station, nearest interferer at closest or farthest distance with respect to the user or at any typical time epoch. The main results of the paper are closed or integral form expressions for the basic metrics of interest, in particular coverage probability and Shannon rate at these epochs. We can make an analogy with ``seasons'' based on the fluctuations of signal and interference power. Strong or mild signal or interference power correspond to different seasons of Shannon rate along the evolution of the system. We also provide a complete comparison study of the metrics at interest at these epochs. We also provide a recipe to lift our results for a 3D wireless communication model for UAVs and HAPS.
Related
- Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson models
- Poisson statistics for one-dimensional Anderson--Bernoulli Schrödinger operators
- Poisson statistics of one-dimensional random band matrices
- Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line
- Structure-Preserving Dynamical Low-Rank Approximations for Stochastic Vlasov--Poisson Equations
BibTeX
@misc{jhawar2026seasonal,
title = {{Seasonal Statistics of Shannon Rate in a Dynamical Poisson-Voronoi Cellular Network}},
author = {Sanjoy Kumar Jhawar and François Baccelli},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.16560},
eprint = {2605.16560},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.16560},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Seasonal Statistics of Shannon Rate in a Dynamical Poisson-Voronoi Cellular Network
AU - Sanjoy Kumar Jhawar
AU - François Baccelli
PY - 2026
DA - 2026/10/17
PB - arXiv
DO - 10.48550/arxiv.2605.16560
UR - https://arxiv.org/abs/2605.16560
AB - In this work we consider a dynamical cellular communication network in which mobile base stations (BSs) are modeled as a homogeneous Poisson point process on ℝ^2. Each base station moves at a constant speed in a random direction. A typical user connects to the nearest base station and it experiences variable signal and interference powers depending on the distance of all the stations. Along the motion of the stations, the user swaps its serving station, and such an event is called a {\em handover}. We are interested in the performance evaluation of the system under some classical and tropical metrics of interest at different time of events, inducing handovers, maximal proximity of serving station, nearest interferer at closest or farthest distance with respect to the user or at any typical time epoch. The main results of the paper are closed or integral form expressions for the basic metrics of interest, in particular coverage probability and Shannon rate at these epochs. We can make an analogy with ``seasons'' based on the fluctuations of signal and interference power. Strong or mild signal or interference power correspond to different seasons of Shannon rate along the evolution of the system. We also provide a complete comparison study of the metrics at interest at these epochs. We also provide a recipe to lift our results for a 3D wireless communication model for UAVs and HAPS.
ER -