Stochastic geometry based performance analysis of terrestrial-to-aerial networks for nomadic communications

Abstract

In this paper, we propose a stochastic geometry based innovative model to characterize the impact of the limitedsize distribution region of terrestrial terminals in terrestrial-toaerial networks by jointly using a binomial point process (BPP) and a type-II Mat´ern hard-core point process (MHCPP). Then, we analyze the relationship between the spatial distribution of the coverage areas of aerial nodes and the limited-size distribution region of terrestrial terminals, thereby deriving the distance distribution of the terrestrial-aerial (T-A) links. Furthermore, we consider the stochastic nature of the spatial distributions of terrestrial terminals and unmanned aerial vehicles (UAVs), and conduct a thorough analysis of the coverage probability of the TA links under Nakagami fading. Finally, the accuracy of our theoretical derivations are confirmed by Monte Carlo simulations. Our research offers fundamental insights into the system-level performance optimization for the realistic terrestrial-to-aerial networks involving nomadic aerial base-stations and terrestrial terminals confined in a limited-size region.

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