Method of modeling interference characteristics in heterogeneous fifth generation wireless networks with device-to-device communications

The paper shows the construction of the model of the moving of interacting devices in heterogeneous wireless networks of the fifth generation with the help of the kinetic equation taking into account a given average speed of the devices, their spatial density, and the maximum allowable communication radius. A method for generating trajectories is proposed where the transceivers move randomly and the walk is not stationary in general. This is the feature of the study which distinguishes the proposed model from previously known models. Interference characteristics, including signal–interference ratio (SIR), are studied in the form of a time-continuous random process, the problem of calculating these characteristics is proposed to be solved by simulations. It is shown that such analysis makes it possible to investigate the probabilistic characteristics of the interaction of devices such as signal interruption probability for the receiver–transmitter pair, the random variables for the duration of the availability period, and the period of absence of communication.