Construction of the stability indicator of wireless D2D connection in a case of fractal random walk of devices

Fractional Fokker-Plank kinetic equation is used for simulation of stochastic motion of transmitter and receiver devices in wireless networks with D2D-communications. The evolution equations for dispersion of signal-to-interference ratio value and for normalized SIR average value as an indicator of stability of D2D connection are derived with the use of this kinetic equation. Some numerical results are presented. © Springer International Publishing AG 2017. Conference paper: 16th International Conference, Information Technologies and Mathematical Modelling. Queueing Theory and Applications ITMM 2017, Named After A.F. Terpugov, Kazan, Russia, September 29 - October 3, 2017

Материалы XVI Международной конференции имени А.Ф. Терпугова «Информационные технологии и математическое моделирование» ИТММ–2017. Казань, 28 сентября – 3 октября 2017 г.

Authors
Gaidamaka Y.V. 1, 2 , Kirina-Lilinskaya E.P.3 , Orlov Y.N. 1, 3 , Samouylov A.K. 1, 4 , Molchanov D.A. 1, 4
Journal
Communications in Computer and Information Science
Publisher
Springer Verlag
Language
English
Pages
324-335
Status
Published
DOI
10.1007/978-3-319-68069-9_26
Volume
800
Year
2017
Organizations
  • 1 Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya Street 6, Moscow, 117198, Russian Federation
  • 2 Institute of Informatics Problems, Federal Research Center, “Computer Science and Control” of the RAS, Vavilov Street 44-2, Moscow, 119333, Russian Federation
  • 3 Deparment of Kinetic Equations, Keldysh Institute of Applied Mathematics of RAS, Miusskaya Sq. 4, Moscow, 125047, Russian Federation
  • 4 Department of Electronics and Communications Engineering, Tampere University of Technology, Korkeakoulunkatu 10, Tampere, 33720, Finland
Keywords
D2D communication; Fractal stochastic motion; Kinetic evolution equation; Signal-to-interference ratio; SIR; SIR dispersion evolution; Stability indicator; Wireless network
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