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In this paper, we consider a finite network of unmanned aerial vehicles(UAVs) serving a given region. Modeling this network as a uniform binomialpoint process (BPP), we derive the downlink coverage probability of a referencereceiver located at an arbitrary position on the ground assuming Nakagami-$m$fading for all wireless links. The reference receiver is assumed to connect toits closest transmitting node as is usually the case in cellular systems. Afterderiving the distribution of distances from the reference receiver to theserving and interfering nodes, we derive an exact expression for downlinkcoverage probability in terms of the derivative of Laplace transform ofinterference power distribution. In the downlink of this system, it is notunusual to encounter scenarios in which the line-of-sight (LOS) component issignificantly stronger than the reflected multipath components. To emulate suchscenarios, we also derive the coverage probability in the absence of fadingfrom the results of Nakagami-$m$ fading by taking the limit $m \to \infty$.Using asymptotic expansion of incomplete gamma function, we concretely showthat this limit reduces to a redundant condition. Consequently, we derive anaccurate coverage probability approximation for this case using dominantinterferer-based approach in which the effect of dominant interferer is exactlycaptured and the residual interference from other interferers is carefullyapproximated. We then derive the bounds of the approximate coverage probabilityusing Berry-Esseen theorem. Our analyses reveal several useful trends incoverage probability as a function of height of the transmitting nodes and thelocation of reference receiver on the ground.

Downlink Coverage Analysis for a Finite 3D Wireless Network of Unmanned Aerial Vehicles