Skip to Main content Skip to Navigation
Conference papers

Time-Dependent SIR Analysis in Shopping Malls Using Fractal-Based Mobility Models

Abstract : Shopping malls are characterized by a high density of users. The use of direct device-to-device (D2D) communications may significantly mitigate the load imposed on the cellular systems in such environments. In addition to high user densities, the communicating entities are inherently mobile with very specific attractor-based mobility patterns. In this paper, we propose a model for characterizing time-dependent signal-to-interference ratio (SIR) in shopping malls. Particularly, we use fractional Fokker-Plank equation for modeling the non-linear functional of the average SIR value, defined on a stochastic fractal trajectory. The evolution equation of the average SIR is derived in terms of fractal motion of the tagged receiver and the interfering devices. We illustrate the use of our model by showing that the behavior of SIR is generally varying for different types of fractals.
Complete list of metadata

Cited literature [21 references]  Display  Hide  Download
Contributor : Hal Ifip Connect in order to contact the contributor
Submitted on : Thursday, January 4, 2018 - 2:28:51 PM
Last modification on : Tuesday, March 24, 2020 - 10:38:02 AM
Long-term archiving on: : Thursday, May 3, 2018 - 6:13:39 AM


Files produced by the author(s)


Distributed under a Creative Commons Attribution 4.0 International License



Yuri Orlov, Elisabeth Kirina-Lilinskaya, Andrey Samuylov, Aleksandr Ometov, Dmitri Moltchanov, et al.. Time-Dependent SIR Analysis in Shopping Malls Using Fractal-Based Mobility Models. 15th International Conference on Wired/Wireless Internet Communication (WWIC), Jun 2017, St. Petersburg, Russia. pp.16-25, ⟨10.1007/978-3-319-61382-6_2⟩. ⟨hal-01675412⟩



Record views


Files downloads