On the Stability of D2D Connection with the Use of Kinetic Equation for SIR Empirical Distribution

The numerical simulation of the signal to interference ratio distribution in the wireless D2D communication is analyzed using means of kinetic equation. We consider the model of transmitters and receivers motion, which is mechanically determined, but the distribution function, mentioned above, is non-stationary. The signal to interference ratio for devices, performing a random walk, is described with the use of a non-stationary Fokker-Planck equation with respect to a sample distribution of this parameter. The empirical distribution of the periods with continuous connection is numerically constructed for the real scheme of deterministic motion of Moscow metro trains. © Springer Nature Switzerland AG 2019.