Enhanced Connectivity of Aerial 3D Mesh Network with Directional Antennas

This paper considers an Aerial 3D Mesh Network (A3DMN) with unmanned aerial vehicles (UAVs). The spatial distribution of UAVs in A3DMN plays a crucial role in evaluating mutual interference and connectivity performance. This paper analyzes how antenna directionality affects network connectivity under interference constraints without any channel contention or transmission power control. We introduce an intermediate class ß-Ginibre Point Processes (ß-GPP) between the Poisson point process (PPP) and the GPP as a model for the A3DMN when UAVs exhibit repulsion. The closed-form expressions for connection probability and network coverage radius are derived by stochastic-geometry tools. Simulation results show that the derived theoretical expressions accurately reflect the influence of antenna directivity on the performance of the A3DMN. The results indicate that the directionality of transmitter antennas and the regularity of transmitter location distribution help to improve network connectivity.