https://hal.inria.fr/hal-01261131Alaya, Mokhtar ZahdiMokhtar ZahdiAlayaUPMC - Université Pierre et Marie Curie - Paris 6Poisson Access Networks with Shadowing: Modelling and Statistical InferenceHAL CCSD2011 Path-loss exponentWireless cellular networks Point Poisson process Shadowing Path-loss Interference[MATH] Mathematics [math][MATH.MATH-PR] Mathematics [math]/Probability [math.PR][MATH.MATH-ST] Mathematics [math]/Statistics [math.ST]Alaya, Mokhtar Z.2016-01-24 01:58:022021-12-08 10:23:372016-05-02 16:34:35enMaster thesisapplication/pdf1Since interference is the main performance-limiting factor in most wireless networks, it is crucial to characterize the interference statistics. The two main determinants of the interference are the network geometry (spatial distribution of concurrently transmitting nodes) and the path loss law (signal attenuation). In order to explain the above, the main purpose of this thesis is of study the path-loss with respect to the serving base stations (BS) and the interference factor, defined as the ratio of the sum of the path-gains from interfering BS to the path-gain from the serving BS. In this thesis, the locations of nodes are modeled as a random Poisson process. Regarding the signal propagation model, we consider a random shadowing that characterizes in a statistical manner the effect of var- ious obstacles. We provide results on the probability distribution function of both the path-loss and the interference factors.