Fine-Grained Analysis on Downlink LEO Satellite-Terrestrial mmWave Relay Networks

This letter investigates the downlink integrated low earth orbit (LEO) satellite-terrestrial millimeter-wave decode-and-forward relay network, where the satellite and terrestrial relays locate in uniform distribution over the spherical cap surface of the LEO and in Poisson point process over the ground, respectively. In order to obtain fine-grained information on the coverage performance, the meta distribution (MD) of signal-to-interference-to-noise ratio (SINR) is adopted for network performance evaluation, which provides the probability that certain percentage of satellite-relays-user links are able to reach a target SINR threshold. The closed-form and analytical expression of the b-th moments of the complementary cumulative distribution functions (CCDFs) of SINR for the satellite-to-relay link and relay-to-user link are then derived, respectively. In addition, we further give the analytical MD expression via the beta approximation. Finally, numerical results are provided to validate our analytical results.