This paper proposes a centralized decision making framework at the macro base
station (MBS) for device to device (D2D) communication underlaying a two-tier
cellular network. We consider a D2D pair in the presence of an MBS and a femto
access point, each serving a user, with quality of service constraints for all
users. Our proposed solution encompasses mode selection (choosing between
cellular or reuse or dedicated mode), resource allocation (in cellular and
dedicated mode) and power control (in reuse mode) within a single framework.
The framework prioritizes D2D dedicated mode if the D2D pair are close to each
other and orthogonal resources are available. Otherwise, it allows D2D reuse
mode if the D2D satisfies both the maximum distance and an additional
interference criteria. For reuse mode, we present a geometric vertex search
approach to solve the power allocation problem. We analytically prove the
validity of this approach and show that it achieves near optimal performance.
For cellular and dedicated modes, we show that frequency sharing maximizes sum
rate and solve the resource allocation problem in closed form. Our simulations
demonstrate the advantages of the proposed framework in terms of the
performance gains achieved in D2D mode.Comment: Submitted for possible journal publicatio