NeSh: A joint shadowing model for links in a multi-hop network

Accurate analysis and simulation in multi-hop (sensor, ad hoc, and mesh) networks requires accurate representation of physical layer fading processes. Current models either ignore fading or assume independent fading on links. In reality, the shadowing losses on two geographically proximate links are correlated by the common environment through which the radio waves travel. In this paper we propose a network shadowing (NeSh) model which connects shadowing on all links in a network to a model for the physical environment in which the network operates, thus explaining shadowing correlations between links. The NeSh model is then used to analyze connectivity in a simple multi-hop network.