Geometry, Connectivity, and Broadcast Transport Capacity of Random Networks with Fading

In ad hoc networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. We provide a unified framework for the geometric characterization of fading by incorporating the fading process into the point process model. Concretely, assuming nodes are distributed in a stationary Poisson point process in R^d, we analyze the properties of the point processes that describe the path loss with fading. Applications include connectivity and broadcasting.