Success probability of millimeter-wave D2D networks with heterogeneous antenna arrays

This paper focuses on the success probability (or, equivalently, the signal-to-interference-plus-noise ratio (SINR) distribution) at the typical receiver in millimeter wave (mm-wave) device-to-device (D2D) networks. Unlike earlier works, we consider a more general and realistic case where devices in the network are equipped with heterogeneous antenna arrays so that the concurrent transmission beams are varying in width. Specifically, we first establish a general and tractable framework for the target network with Nakagami fading and directional beamforming. Next, we investigate the interactions among beams with different widths and their sensitivities to the adopted model for the antenna pattern. In addition, to show the impact of heterogeneous antenna arrays on the link performance, we derive the success probability of the typical receiver as well as its bounds to get deep insights on the performance of the network.