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The integration of unmanned aerial vehicles (UAVs) and millimeter wave(mmWave) wireless systems has been recently proposed to provide high data rateaerial links for next generation wireless networks. However, establishingUAV-based mmWave links is quite challenging due to the random fluctuations ofhovering UAVs which can induce antenna gain mismatch between transmitter andreceiver. To assess the benefit of UAV-based mmWave links, in this paper,tractable, closed-form statistical channel models are derived for three UAVcommunication scenarios: (i) a direct UAV-to-UAV link, (ii) an aerial relaylink in which source, relay, and destination are hovering UAVs, and (iii) arelay link in which a hovering UAV connects a ground source to a grounddestination. The accuracy of the derived analytical expressions is corroboratedby performing Monte-Carlo simulations. Numerical results are then used to studythe effect of antenna directivity gain under different channel conditions forestablishing reliable UAV-based mmWave links in terms of achieving minimumoutage probability. It is shown that the performance of such links is largelydependent on the random fluctuations of hovering UAVs. Moreover, higher antennadirectivity gains achieve better performance at low SNR regime. Nevertheless,at the high SNR regime, lower antenna directivity gains result in a morereliable communication link. The developed results can therefore be applied asa benchmark for finding the optimal antenna directivity gain of UAVs under thedifferent levels of instability without resorting to time-consumingsimulations.

Analytical Channel Models for Millimeter Wave UAV Networks under Hovering Fluctuations