Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| author | Jhawar, Sanjoy Kumar Baccelli, François |
| author_facet | Jhawar, Sanjoy Kumar Baccelli, François |
| contents | In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. 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 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. A comparison study of quality of service and Shannon capacity at these epochs is also provided, among the recurrence of such ``good'' or ``bad'' scenarios. 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 capacity along the evolution of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16560 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network Jhawar, Sanjoy Kumar Baccelli, François Probability Networking and Internet Architecture In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. 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 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. A comparison study of quality of service and Shannon capacity at these epochs is also provided, among the recurrence of such ``good'' or ``bad'' scenarios. 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 capacity along the evolution of the system. |
| title | Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network |
| topic | Probability Networking and Internet Architecture |
| url | https://arxiv.org/abs/2605.16560 |