This paper shows how the application of stochastic geometry to the analysis of wireless networks is greatly facilitated by: (i) a clear separation of time scales; (ii) the abstraction of small-scale effects via ergodicity; and (iii) an interference model that reflects the receiver's lack of knowledge of how each individual interference term is faded. These procedures render the analysis both more manageable and more precise, as well as more amenable to the incorporation of subsequent features. In particular, the paper presents analytical characterizations of the ergodic spectral efficiency of cellular networks with single-user multiple-input multiple-output and sectorization. These characterizations, in the form of easy-to-evaluate expressions, encompass the coverage, the distribution of spectral efficiency over the network locations, and the average thereof.

This work was supported in part by MINECO/FEDER, UE, under Project TEC2015-66228-P, in part by the European Research Council under the H2020 Framework Programme/ERC grant agreement under Grant 694974, and in part by the U.S. National Science Foundation under Award CCF 1525904.