Stochastic geometry modeling and analysis of multi-tier millimeter wave cellular networks

Marco Di Renzo 1
1 Division Télécoms et Réseaux - L2S
L2S - Laboratoire des signaux et systèmes : 1289
Abstract : In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported experimental data. The path-loss model accounts for different distributions of line-of-sight and non-line-of-sight propagation conditions and the blockage model includes an outage state that provides a better representation of the outage possibilities of millimeter wave communications. By modeling the locations of the base stations as points of a Poisson point process and by relying on a noise-limited approximation for typical millimeter wave network deployments, simple and exact integral as well as approximated and closed-form formulas for computing the coverage probability and the average rate are obtained. With the aid of Monte Carlo simulations, the noise-limited approximation is shown to be sufficiently accurate for typical network densities. The noise-limited approximation, however, may not be sufficiently accurate for ultra-dense network deployments and for sub-gigahertz transmission bandwidths. For these case studies, the analytical approach is generalized to take the other-cell interference into account at the cost of increasing its computational complexity. The proposed mathematical framework is applicable to cell association criteria based on the smallest path-loss and on the highest received power. It accounts for beamforming alignment errors and for multi-tier cellular network deployments. Numerical results confirm that sufficiently dense millimeter wave cellular networks are capable of outperforming micro wave cellular networks, in terms of coverage probability and average rate.
Type de document :
Article dans une revue
IEEE Transactions on Wireless Communications, Institute of Electrical and Electronics Engineers, 2015, 14 (9), pp.5038-5057. 〈10.1109/twc.2015.2431689 〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01269616
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Soumis le : vendredi 5 février 2016 - 10:05:15
Dernière modification le : jeudi 5 avril 2018 - 12:30:23

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Marco Di Renzo. Stochastic geometry modeling and analysis of multi-tier millimeter wave cellular networks. IEEE Transactions on Wireless Communications, Institute of Electrical and Electronics Engineers, 2015, 14 (9), pp.5038-5057. 〈10.1109/twc.2015.2431689 〉. 〈hal-01269616〉

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