Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models

• Autorzy: Miyoshi N. , Shirai T.

Identyfikatory

DOI

10.19195/0208-4147.37.2.12

• Języki publikacji: EN

Abstrakty

EN

We consider a spatial stochastic model of wireless cellular networks, where the base stations (BSs) are deployed according to a simple and stationary point process on R^d, d ≥ 2. In this model, we investigate tail asymptotics of the distribution of signal-to-interference ratio (SIR), which is a key quantity in wireless communications. In the case where the pathloss function representing signal attenuation is unbounded at the origin, we derive the exact tail asymptotics of the SIR distribution under an appropriate sufficient condition. While we show that widely-used models based on a Poisson point process and on a determinantal point process meet the sufficient condition, we also give a counterexample violating it. In the case of bounded path-loss functions, we derive a logarithmically asymptotic upper bound on the SIR tail distribution for the Poisson-based and α-Ginibre-based models. A logarithmically asymptotic lower bound with the same order as the upper bound is also obtained for the Poisson-based model.

Słowa kluczowe

EN

spatial point processes; cellular networks; tail asymptotics; signal-to-interference ratio; determinantal point processes

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2017
• Tom: Vol. 37, Fasc. 2
• Strony: 431--453
• Opis fizyczny: Bibliogr. 29 poz., rys.

Twórcy

autor

Miyoshi N.

• Dept. of Mathematical and Computing Science, Tokyo Institute of Technology, 2-12-1-W8-52 Ookayama, Tokyo 152-8552, Japan

autor

Shirai T.

• Institute of Mathematics for Industry, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan

Bibliografia

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Uwagi

Dedicated to Tomasz Rolski on the occasion of his 70th birthday.

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).