Abstract: This paper provides an analytically tractable framework for investigating a fading model-free statistical distribution of the signal-to-interference-plus-noise power ratio (SINR) in Poison distributed cellular networks subject to device-to-device (D2D) transmissions. Our main finding show that a closed-form SINR distribution may be obtained for any fading scenario in which the per-link power gain follows the product of two Fox's H-function probability density function thereby subsuming most of the coverage probability expressions previously presented for all the known simple and composite fading models.
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