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 (MIMO) 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.Comment: 35 pages, 12 figure