Stochastic Geometry Analysis of Normalized SNR-Based Scheduling in Downlink Cellular Networks

Takuya Ohto; Koji Yamamoto; Seong Lyun Kim; Takayuki Nishio; Masahiro Morikura

doi:10.1109/LWC.2017.2701381

Stochastic Geometry Analysis of Normalized SNR-Based Scheduling in Downlink Cellular Networks

Takuya Ohto, Koji Yamamoto, Seong Lyun Kim, Takayuki Nishio, Masahiro Morikura

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The coverage probability and average data rate of normalized SNR-based scheduling in a downlink cellular network are derived by modeling the locations of the base stations and users as two independent Poison point processes. The scheduler selects the user with the largest instantaneous SNR normalized by the short-term average SNR. In normalized SNR scheduling, the coverage probability when the desired signal experiences Rayleigh fading is shown to be given by a series of Laplace transforms of the probability density function of interference. Also, a closed-form expression for the coverage probability is approximately achieved. The results confirm that normalized SNR scheduling increases the coverage probability due to the multi-user diversity gain.

Original language	English
Article number	7919261
Pages (from-to)	438-441
Number of pages	4
Journal	IEEE Wireless Communications Letters
Volume	6
Issue number	4
DOIs	https://doi.org/10.1109/LWC.2017.2701381
Publication status	Published - 2017 Aug

Bibliographical note

Funding Information:
Manuscript received March 28, 2017; accepted April 26, 2017. Date of publication May 4, 2017; date of current version August 21, 2017. The work of T. Ohto, K. Yamamoto, T. Nishio, and M. Morikura was supported by the Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science under Grant 15K06062. The work of S.-L. Kim was supported by the National Research Foundation of Korea by the Korea Government under Grant NRF-2014R1A2A1A11053234. The associate editor coordinating the review of this paper and approving it for publication was S. Andreev. (Corresponding author: Koji Yamamoto.) T. Ohto, K. Yamamoto, T. Nishio, and M. Morikura are with the Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan (e-mail: kyamamot@i.kyoto-u.ac.jp).

Publisher Copyright:
© 2012 IEEE.

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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abstract = "The coverage probability and average data rate of normalized SNR-based scheduling in a downlink cellular network are derived by modeling the locations of the base stations and users as two independent Poison point processes. The scheduler selects the user with the largest instantaneous SNR normalized by the short-term average SNR. In normalized SNR scheduling, the coverage probability when the desired signal experiences Rayleigh fading is shown to be given by a series of Laplace transforms of the probability density function of interference. Also, a closed-form expression for the coverage probability is approximately achieved. The results confirm that normalized SNR scheduling increases the coverage probability due to the multi-user diversity gain.",

author = "Takuya Ohto and Koji Yamamoto and Kim, {Seong Lyun} and Takayuki Nishio and Masahiro Morikura",

note = "Funding Information: Manuscript received March 28, 2017; accepted April 26, 2017. Date of publication May 4, 2017; date of current version August 21, 2017. The work of T. Ohto, K. Yamamoto, T. Nishio, and M. Morikura was supported by the Grant-in-Aid for Scientific Research from the Japan Society for the Promotion of Science under Grant 15K06062. The work of S.-L. Kim was supported by the National Research Foundation of Korea by the Korea Government under Grant NRF-2014R1A2A1A11053234. The associate editor coordinating the review of this paper and approving it for publication was S. Andreev. (Corresponding author: Koji Yamamoto.) T. Ohto, K. Yamamoto, T. Nishio, and M. Morikura are with the Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan (e-mail: kyamamot@i.kyoto-u.ac.jp). Publisher Copyright: {\textcopyright} 2012 IEEE.",

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AB - The coverage probability and average data rate of normalized SNR-based scheduling in a downlink cellular network are derived by modeling the locations of the base stations and users as two independent Poison point processes. The scheduler selects the user with the largest instantaneous SNR normalized by the short-term average SNR. In normalized SNR scheduling, the coverage probability when the desired signal experiences Rayleigh fading is shown to be given by a series of Laplace transforms of the probability density function of interference. Also, a closed-form expression for the coverage probability is approximately achieved. The results confirm that normalized SNR scheduling increases the coverage probability due to the multi-user diversity gain.

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Stochastic Geometry Analysis of Normalized SNR-Based Scheduling in Downlink Cellular Networks

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