  In this paper, we study the performance of non-fading and Rayleigh fading ad
hoc networks. We first characterize the distribution of the
signal-to-interference-plus-noise ratio (SINR) through the Laplace transform of
the inverted SINR for non-fading channels. Since most communication systems are
interference-limited, we also consider the case of negligible noise power, and
derive the upper and lower bounds for the signal-to-interference ratio (SIR)
distribution under both non-fading and fading cases. These bounds are of closed
forms and thus more convenient for theoretical analysis. Based on these
derivations, we obtain closed-form bounds for both the average Shannon and
outage rates. We also leverage the above results to study partial fading ad-hoc
systems. These results are useful for investigating and comparing
fifth-generation communication systems, for example massive multi-antenna and
small-cell networks as in our illustrative example.
