Simulation of devices mobility to estimate wireless channel quality metrics in 5G networks

Orlov, Yu. N.; Fedorov, Sergey; Samuylov, Andrey; Gaidamaka, Yuliya; Molchanov, Dmitri A.

doi:10.1063/1.4992270

Cited by 7 publications

(4 citation statements)

References 3 publications

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“…Similar behavior is observed in the dynamics of fractal sets, see, e.g., [13], [14]. The analysis of stable connectivity between mobile devices in such a scenario could be considered as a challenging task in the context of 5G communications systems [15], [16], [17], [18].…”

Section: Introductionmentioning

confidence: 52%

“…We focus on a tagged receiver and N interfering stations. The random movement trajectory of a user is represented as a random walk on the three-dimensional fractal set [17]. Fokker-Planck equation with fractional derivatives that represents the distribution function on such sets has been studied in [21].…”

Section: Random Walks Over Fractal Setsmentioning

confidence: 99%

“…where f (x, t) is a continuously differentiable function of the coordinates and time, u(x, t) is the so-called drift velocity, which is defined as the average velocities of the respective two-dimensional distribution [17], that is,…”

Section: Random Walks Over Fractal Setsmentioning

confidence: 99%

“…1(a). The modeling algorithm is described in [17]. As one may observe, the mobility process of users comprises many short travels around the attractor points as well as occasional long-distant movements.…”

Section: Examplesmentioning

confidence: 99%

See 3 more Smart Citations

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

Orlov¹,

Kirina-Lilinskaya²,

Samuylov³

et al. 2017

Lecture Notes in Computer Science

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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.

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