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. Di Renzo et al. 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 by Di Renzo et al. 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: 1) increases with the density and the transmit power of base stations and 2) decreases with the density of mobile terminals and the transmission bandwidth.
A tractable closed-form expression of the coverage probability in poisson cellular networks
Zappone A.;
2019-01-01
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. Di Renzo et al. 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 by Di Renzo et al. 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: 1) increases with the density and the transmit power of base stations and 2) decreases with the density of mobile terminals and the transmission bandwidth.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
