A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks

Naoto Miyoshi; Tomoyuki Shirai

doi:10.1109/WIOPT.2016.7492955

A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks

Naoto Miyoshi, Tomoyuki Shirai

Division of Fundamental mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

We consider the spatial stochastic model of single-tier downlink cellular networks, where the wireless base stations are deployed according to a general stationary point process on the Euclidean plane with general i.i.d. propagation effects. Recently, Ganti & Haenggi (2016) consider the same general cellular network model and, as one of many significant results, derive the tail asymptotics of the signal-to-interference ratio (SIR) distribution. However, they do not mention any conditions under which the result holds. In this paper, we compensate their result for the lack of the condition and expose a sufficient condition for the asymptotic result to be valid. We further illustrate some examples satisfying such a sufficient condition and indicate the corresponding asymptotic results for the example models. We give also a simple counterexample violating the sufficient condition.

Original language	English
Title of host publication	2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509013111
DOIs	https://doi.org/10.1109/WIOPT.2016.7492955
Publication status	Published - Jun 15 2016
Event	14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016 - Tempe, United States Duration: May 9 2016 → May 13 2016

Publication series

Name	2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016

Other

Other	14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016
Country	United States
City	Tempe
Period	5/9/16 → 5/13/16

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Control and Optimization
Modelling and Simulation

Access to Document

10.1109/WIOPT.2016.7492955

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Miyoshi, N., & Shirai, T. (2016). A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks. In 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016 [7492955] (2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WIOPT.2016.7492955

A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks. / Miyoshi, Naoto; Shirai, Tomoyuki.

2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016. Institute of Electrical and Electronics Engineers Inc., 2016. 7492955 (2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Miyoshi, N & Shirai, T 2016, A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks. in 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016., 7492955, 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016, Institute of Electrical and Electronics Engineers Inc., 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016, Tempe, United States, 5/9/16. https://doi.org/10.1109/WIOPT.2016.7492955

Miyoshi N, Shirai T. A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks. In 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016. Institute of Electrical and Electronics Engineers Inc. 2016. 7492955. (2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016). https://doi.org/10.1109/WIOPT.2016.7492955

Miyoshi, Naoto ; Shirai, Tomoyuki. / A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks. 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016. Institute of Electrical and Electronics Engineers Inc., 2016. (2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016).

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