The unmanned aerial vehicle (UAV)-based wireless mesh networks can economically provide wireless services for the areas with disasters. However, the capacity of air-to-air communications is limited due to the multi-hop transmissions. In this paper, the spectrum sharing between UAV-based wireless mesh networks and ground networks is studied to improve the capacity of the UAV networks. Considering the distribution of UAVs as a three-dimensional (3D) homogeneous Poisson point process (PPP) within a vertical range, the stochastic geometry is applied to analyze the impact of the height of UAVs, the transmit power of UAVs, the density of UAVs and the vertical range, etc., on the coverage probability of ground network user and UAV network user, respectively. The optimal height of UAVs is numerically achieved in maximizing the capacity of UAV networks with the constraint of the coverage probability of ground network user. This paper provides a basic guideline for the deployment of UAV-based wireless mesh networks.

翻译：基于无人机的无线网格网络能够经济地为受灾地区提供无线服务。然而，由于多跳传输，空对空通信的容量受到限制。本文研究了基于无人机的无线网格网络与地面网络之间的频谱共享问题，以提升无人机网络的容量。考虑无人机在垂直范围内的分布为三维齐次泊松点过程（PPP），应用随机几何分析无人机高度、无人机发射功率、无人机密度及垂直范围等因素分别对地面网络用户和无人机网络用户覆盖概率的影响。在满足地面网络用户覆盖概率约束条件下，通过数值方法求解使无人机网络容量最大化的最优无人机高度。本文为基于无人机的无线网格网络部署提供了基础指导。