A Tractable Closed-Form Expression of the Coverage Probability in Poisson Cellular Networks

Abstract : The coverage probability of cellular networks is usually defined as the probability that the Signal-to-Interference+Noise-Ratio (SINR) is greater than a reliability threshold. Based on this definition, the coverage probability cannot, in general, be formulated in a tractable closed-form expression. In 1, the authors have introduced a new definition of coverage that explicitly accounts for the cell association phase and that is proved to be analytically tractable for system-level optimization. In this letter, we conduct a thorough comparison between the two definitions of coverage. We show that the definition introduced in 1 provides one with a tractable and closed-form approximation of the SINR-coverage, which is proved to be an upper-bound in relevant operating regimes. We prove that the coverage probability monotonically: i) increases with the density and the transmit power of base stations, and ii) decreases with the density of mobile terminals and the transmission bandwidth.
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Submitted on : Monday, September 24, 2018 - 4:34:53 PM
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Marco Di Renzo, Thanh Tu Lam, Alessio Zappone, Mérouane Debbah. A Tractable Closed-Form Expression of the Coverage Probability in Poisson Cellular Networks. IEEE wireless communications letters, IEEE comsoc, 2018, pp.1 - 1. 〈10.1109/LWC.2018.2868753〉. 〈hal-01880303〉

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