Interference and outage in random D2D networks under millimeter wave channels

Millimeter wave communication is a promising concept for the fifth generation (5G) of cellular wireless networks due to the large available bandwidth while device to device (D2D) communication among nearby devices which saves network resources is also gaining attention. As such, D2D networks underlaying millimeter wave cellular systems hold massive potential. However, the performance of such a D2D network incorporating spatial randomness and power control has not yet been characterized. To fill this knowledge gap, we develop a comprehensive analysis of the performance of a D2D receiver. To this end, we model cellular transmitters and receivers as homogeneous Poisson point processes and the D2D network as a Matern cluster process, and incorporate blockages due to random objects, sectored antenna patterns, log-distance path loss, and Nakagami-m fading. Furthermore, we consider path loss and antenna gain inversion based power control, and peak power constraints for D2D devices along with distinct path loss exponents and fading severities for line-of-sight and non-line-of-sight scenarios. With the aid of stochastic geometry tools, we derive closed-form expressions of the moment generating function of the aggregate interference experienced by a D2D receiver and its outage probability. We finally show that the feasibility of millimeter wave D2D communication relies heavily on the D2D cluster radii, peak power thresholds, and node densities.