Fundamental Limits in Cellular Networks with Point Process Partial Area Statistics

Lélio Chetot 1, 2 Jean-Marie Gorce 3, 1, 2 Jean-Marc Kelif 4
1 MARACAS - Modèle et algorithmes pour des systèmes de communication fiables
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
3 SOCRATE - Software and Cognitive radio for telecommunications
Inria Grenoble - Rhône-Alpes, CITI - CITI Centre of Innovation in Telecommunications and Integration of services
Abstract : Despite the huge number of contributions dealing with the evaluation of cellular networks performance, tackling with more and more complex systems including multi-tier networks or MIMO systems, the fundamental limits in terms of capacity in an information theory sense is not known for these networks. Stochastic geometry helped doing a step forward, relying on Palm theory and providing coverage statistic at the network scale. However, this statistic is not sufficient to establish a fundamental limit, namely to characterise a Shannon capacity region of the network. In this paper, we propose a new approach exploiting the cell capacity of the Spatial Continuum Broadcast Channel (SCBC) recently introduced for an isolated cell. The network capacity is linked to the cells' geometry statistics in a Voronoi tessellation. The fundamental limit is characterised by the minimal average cell power required in a network modelled as a Point Process (PP) to achieve a desired rate distribution. A direct relation is established between this minimum average power and the partial area statistics of the cells geometry, which constitute a sufficient statistic. Our approach is validated through Monte-Carlo simulations.
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Submitted on : Monday, June 3, 2019 - 3:49:05 PM
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Lélio Chetot, Jean-Marie Gorce, Jean-Marc Kelif. Fundamental Limits in Cellular Networks with Point Process Partial Area Statistics. WiOpt 2019 - 17th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks, Jun 2019, Avignon, France. pp.1-8. ⟨hal-02146103⟩

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