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In this paper, the authors analyze the Signal-to-Interference-plus-Noise Ratio (SINR) performance at a Mobile Station (MS) in a random cellular network. The cellular network is formed by Base-Stations (BSs) placed in a one, two or three dimensional space according to a possibly non-homogeneous Poisson point process, which is a generalization of the so-called shotgun cellular system. They develop a sequence of equivalence relations for the SCSs and use them to derive semi-analytical expressions for the coverage probability at the MS when the transmissions from each BS may be affected by random fading with arbitrary distributions as well as attenuation following arbitrary path-loss models.
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