Power Distribution of Device-to-Device Communications in Underlaid Cellular Networks

Abstract

Device-to-device (D2D) communications have recently emerged as a novel\ntransmission paradigm in wireless cellular networks. D2D transmissions take\nplace concurrently with the usual cellular connections, and thus, controlling\nthe interference brought to the macro-cellular user equipment (UE) is of vital\nimportance. In this paper, we consider the uplink transmission of a tier of D2D\nusers that operates as an underlay for the traditional cellular network. Using\nnetwork model based on stochastic geometry, we derive the equilibrium\ncumulative distribution function (CDF) of the D2D transmit power. Considering\ninterference-limited and relatively lossy environment cases, closed form\nequations are derived for the power CDF. Finally, a tight closed-form\nupper-bound for the derived power distribution is proposed, and the analytical\nresults are validated via simulation.\n