Underlay D2D communication in a finite cellular network with exclusion zone

In this paper, we consider underlay in-band deviceto- device (D2D) communication in a finite cellular network region. To minimize the D2D interference generated at the base station (BS), we adopt the exclusion zone mechanism, i.e., only D2D users outside the BS exclusion zone share the same resource with the cellular uplink user. Using the stochastic geometry, we develop a general framework to analytically compute the outage probability at the center-located BS and the outage probability at an arbitrarily located D2D receiver in a disk-shaped network region. To quantify the overall D2D communication performance in the finite region, the average number of successful D2D transmissions is also derived. It shows that the D2D receiver close to the cell edge or the exclusion zone experiences lower outage probability compared to the D2D receiver not close to the edge region, which illustrates the location-dependent performance. Moreover, given the outage probability constraint at the BS, which is controlled by varying the radius of the exclusion zone, we find that there is an optimum D2D receiver sensitivity that results in the maximum average number of successful D2D transmissions. The results highlight the importance of carefully choosing system parameters to extract the benefit from the exclusion zone.