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

Andrey K. Samuylov, Anastasia Yu Ivchenko, Yu N. Orlov, Dmitri A. Moltchanov, Ekaterina V. Bobrikova, Yuliya V. Gaidamaka, Vsevolod S. Shorgin

    Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

    1 Citation (Scopus)

    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.

    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

    Keywords

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

    Publication forum classification

    • Publication forum level 1

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Computer Science(all)

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