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Characterizing time-dependent variance and coefficient of variation of SIR in D2D connectivity

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Original languageEnglish
Title of host publicationInternet of Things, Smart Spaces, and Next Generation Networks and Systems - 17th International Conference, NEW2AN 2017, 10th Conference, ruSMART 2017, 3rd Workshop NsCC 2017, Proceedings
PublisherSpringer Verlag
Number of pages10
ISBN (Print)9783319673790
Publication statusPublished - 2017
Publication typeA4 Article in a conference publication
EventInternational Conference on Next Generation Wired/Wireless Networking -
Duration: 1 Jan 2000 → …

Publication series

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


ConferenceInternational Conference on Next Generation Wired/Wireless Networking
Period1/01/00 → …


Attempting to build a uniform theory of mobility-dependent characterization of wireless communications systems, in this paper, we address time-dependent analysis of the signal-to-interference ratio (SIR) in device-to-device (D2D) communications scenario. We first introduce a general kinetic-based mobility model capable of representing the movement process of users with a wide range of mobility characteristics including conventional, fractal and even non-stationary ones. We then derive the time-dependent evolution of mean, variance and coefficient of variation of SIR metric. We demonstrate that under non-stationary mobility behavior of communicating entities the SIR may surprisingly exhibit stationary behavior.


  • Fokker-Plank equation, Mobility model, SIR, Time dependence

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