Modeling the signal-to-interference ratio in a mobile network with moving devices

The goal of the study is to analyze the signal-to-interference ratio (SIR) for device-to-device interaction of devices communication in the 5th generation mobile networks, taking into account the movement of the receiving and transmitting devices in the service area. The SIR value at the receiver of the associated pair is studied as a time-varying random process, and the mathematical model of motion is given by a kinetic equation taking into account the given average speed of the devices, their spatial density, and the maximum allowable communication radius. The measures of performance quality were studied by numerical analysis using SIR simulation of a key channel. The measures are the following: the signal interruption probability for the receiver–transmitter pair, the probability density function of the random variables for the duration of the availability period, and the period of absence of communication. It is shown that the signal interruption probability grows logarithmically as either the average device speed or the number of devices in the service area increases.