Scaling Laws for Large Ad-Hoc Wireless Networks with Wishart-Poisson Fading

In the analysis of large random wireless ad hoc networks, the underlying node distribution is almost ubiquitously assumed to be the homogeneous Poisson point process. Despite the nice analytical properties of such model, the spatial randomness has been, however, mainly exploited for connectivity and interference analysis, but has not yet been taken into account explicitly in the scaling laws evaluation. We move here a first step toward the evaluation of an upper bound on the aggregate throughput when the additional randomness due to the spatial node distribution is taken into account, together with the presence of power attenuation and random phase changes. This could be seen as a first attempt to connect some overoptimistic results based on stochastic channel model to more realistic analysis, relying on electromagnetic propagation arguments.