Analytical Characterization of Device-to-Device and Cellular Networks Coexistence

This paper presents a new analytical framework based on stochastic geometry for the characterization of the reciprocal impact of device-to-device (D2D) communications and an underlaid cellular network in terms of coverage probability. We consider a random number of D2D groups, where the devices of each group are distributed according to different spatial distributions to model users' behavior. The effect of power control, users' spatial distribution, shadowing and random base station deployment are accounted for in the analysis and closed form expressions for coverage probability for both cellular and D2D networks are derived. The validity of the framework developed is assessed via simulation in the numerical results, where the effect of key system parameters as well as device spatial distribution on cellular and D2D coverage is investigated and the amount of traffic that could be offloaded through D2D communications is studied.