2017/01/05 by Vishnu Vardhan Chetlur, Harpreet S. Dhillon, Chetlur, Vishnu Vardhan +1 · 3 citations
Engineering · #UAV Applications and Optimization #Advanced MIMO Systems Optimization #Millimeter-Wave Propagation and Modeling
paper · pdf · doi:10.48550/arxiv.1701.01212
In this paper, we consider a finite network of unmanned aerial vehicles\n(UAVs) serving a given region. Modeling this network as a uniform binomial\npoint process (BPP), we derive the downlink coverage probability of a reference\nreceiver located at an arbitrary position on the ground assuming Nakagami-m\nfading for all wireless links. The reference receiver is assumed to connect to\nits closest transmitting node as is usually the case in cellular systems. After\nderiving the distribution of distances from the reference receiver to the\nserving and interfering nodes, we derive an exact expression for downlink\ncoverage probability in terms of the derivative of Laplace transform of\ninterference power distribution. In the downlink of this system, it is not\nunusual to encounter scenarios in which the line-of-sight (LOS) component is\nsignificantly stronger than the reflected multipath components. To emulate such\nscenarios, we also derive the coverage probability in the absence of fading\nfrom the results of Nakagami-m fading by taking the limit m \→ \∞.\nUsing asymptotic expansion of incomplete gamma function, we concretely show\nthat this limit reduces to a redundant condition. Consequently, we derive an\naccurate coverage probability approximation for this case using dominant\ninterferer-based approach in which the effect of dominant interferer is exactly\ncaptured and the residual interference from other interferers is carefully\napproximated. We then derive the bounds of the approximate coverage probability\nusing Berry-Esseen theorem. Our analyses reveal several useful trends in\ncoverage probability as a function of height of the transmitting nodes and the\nlocation of reference receiver on the ground.\n