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

  • Andrey K. SamuylovEmail author
  • Anastasia Yu. Ivchenko
  • Yu. N. Orlov
  • Dmitri A. Moltchanov
  • Ekaterina V. Bobrikova
  • Yuliya V. Gaidamaka
  • Vsevolod S. Shorgin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11118)

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

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

Notes

Acknowledgement

The publication has been prepared with the support of the “RUDN University Program 5-100” and funded by RFBR according to the research projects No. 17-07-00845, 18-37-00380. This work has been developed within the framework of the COST Action CA15104, Inclusive Radio Communication Networks for 5G and beyond (IRACON).

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Andrey K. Samuylov
    • 1
    • 2
    Email author
  • Anastasia Yu. Ivchenko
    • 3
  • Yu. N. Orlov
    • 1
    • 3
  • Dmitri A. Moltchanov
    • 1
    • 2
  • Ekaterina V. Bobrikova
    • 1
  • Yuliya V. Gaidamaka
    • 1
    • 4
  • Vsevolod S. Shorgin
    • 4
  1. 1.Department of Applied Probability and InformaticsPeoples’ Friendship, University of Russia (RUDN University)MoscowRussia
  2. 2.Department of Electronics and Communications EngineeringTampere University of TechnologyTampereFinland
  3. 3.Department of Kinetic EquationsKeldysh Institute of Applied Mathematics of RASMoscowRussian Federation
  4. 4.Institute of Informatics ProblemsResearch Center “Computer Science and Control” of the Russian Academy of SciencesMoscowRussian Federation

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