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This paper studies the statistical characterization of ground-to-UAV (G2A)and reconfigurable intelligent surface (RIS)-assisted UAV-to-ground (A2G)communications in terrestrial and non-terrestrial networks under the impact ofchannel aging. We first model the G2A and A2G signal-to-noise ratios asnon-central complex Gaussian quadratic random variables (RVs) and derive theirexact probability density functions, offering a unique characterization for theA2G SNR as the product of two scaled non-central chi-square RVs. Moreover, wealso find that, for a large number of RIS elements, the RIS-assisted A2Gchannel can be characterized as a single Rician fading channel. Our resultsreveal the presence of channel hardening in A2G communication under low UAVspeeds, where we derive the maximum target spectral efficiency (SE) for asystem to maintain a consistent required outage level. Meanwhile, high UAVspeeds, exceeding 50 m/s, lead to a significant performance degradation, whichcannot be mitigated by increasing the number of RIS elements.

Statistical Characterization of RIS-assisted UAV Communications in Terrestrial and Non-Terrestrial Networks Under Channel Aging