Stochastic Geometry Analysis of Three-Dimensional Aerial Ad hoc Network with Directional Antennas

Aerial Ad hoc Network (AANET) is a particular type of three dimensional (3D) wireless ad hoc network. With the help of directional antenna, AANET can not only get long transmission distance, but also strong concealment and anti-interference performance. Although many works have analyzed the capacity of 3D AANET, self-interference caused by concurrent communication links using directional transmission is still a problem cannot be ignored. In this paper, performance of 3D directional AANET is studied using stochastic geometry. At first, the characteristic function of self-interference is derived based on physical transmission model and interference model. On this basis, the closed expressions of connectivity probability and average throughput per node are derived according to cumulative distribution of self-interference. Besides, protection zone is proposed to established to reduce self-interference by forbidding interference transmitters around target receiver to transmit packets. By simulations, the connectivity probability and average throughput of AANET can be improved by establishing protection zone. And adjusting the beamwidth (or the gain) of directional antenna properly with the different distribution and traffic load of nodes in network can greatly improve the performance of AANET.