This paper leverages stochastic geometry to model, analyze, and optimize multi-band unmanned aerial vehicle (UAV) communication networks operating across low-frequency and millimeter-wave (mmWave) bands. We introduce a novel approach to modeling mmWave antenna gain in such networks, which allows us to better capture and account for interference in our analysis and optimization. We then propose a simple yet effective user-UAV association policy, which strategically biases users towards mmWave UAVs to take advantage of lower interference and wider bandwidths compared to low-frequency UAVs. Under this scheme, we analytically derive the corresponding association probability, coverage probability, and spectral efficiency. We conclude by assessing our proposed association policy through simulation and analysis, demonstrating its effectiveness based on coverage probability and per-user data rates, as well as the alignment between analytical and simulation results.

翻译：本文利用随机几何理论，对跨低频段与毫米波频段运行的多频段无人机通信网络进行建模、分析与优化。我们提出了一种新颖的毫米波天线增益建模方法，该方法能够更准确地捕捉并分析网络中的干扰问题。在此基础上，我们提出了一种简单而有效的用户-无人机关联策略，该策略通过策略性地将用户偏向于毫米波无人机，以利用其相较于低频无人机更低的干扰水平与更宽的带宽。在此方案下，我们通过解析方法推导了相应的关联概率、覆盖概率与频谱效率。最后，我们通过仿真与分析评估了所提出的关联策略，基于覆盖概率和用户数据速率证明了其有效性，并验证了理论解析结果与仿真结果的一致性。