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Kinetic Approach to Elasticity Analysis of D2D Links Quality Indicators Under Non-stationary Random Walk Mobility Model

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Details

Original languageEnglish
Title of host publicationInternet of Things, Smart Spaces, and Next Generation Networks and Systems - 18th International Conference, NEW2AN 2018, and 11th Conference, ruSMART 2018, Proceedings
PublisherSpringer
Pages224-235
Number of pages12
ISBN (Print)9783030011673
DOIs
Publication statusPublished - 2018
Publication typeA4 Article in a conference publication
EventInternational Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces -
Duration: 27 Aug 201829 Aug 2018

Publication series

NameLecture Notes in Computer Science
Volume11118
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Conference on Next Generation Teletraffic and Wired/Wireless Advanced Networks and Systems Conference on Internet of Things and Smart Spaces
Period27/08/1829/08/18

Abstract

In device-to-device communications, the link quality indicators, such as signal-to-interference ratio (SIR) is heavily affected by mobility of users. Conventionally, the mobility model is assumed to be stationary. In this paper, we use kinetic theory to analyze evolution of probability distribution function parameters of SIR in D2D environment under non-stationary mobility of users. Particularly, we concentrate on elasticity of the SIR moments with respect to parameters of Fokker-Planck equation. The elasticity matrix for average SIR value, SIR variance and time periods, when SIR values is higher than a certain threshold are numerically constructed. Our numerical results demonstrate that the main kinetic parameter affecting SIR behavior is diffusion coefficient. The influence of the drift is approximately ten times less.

Keywords

  • Device-to-device communications, Kinetic equation, Mathematical modeling, Non-stationary random walk, SIR distribution, Wireless communications

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