Abstract: By assuming the deployment of nodes a homogeneous Poisson point process, closed-formed expressions of network non-isolation probability were derived under different fading channel models, as the upper bound of 1-connectivity probability,with particular emphasis on the effects of lognormal shadowing and Rayleigh fading. The impact of cooperative communication was also addressed, showing how it can be used to enhance the network connectivity. Finally, numerical simulations in synthetic wireless network scenarios show a satisfying consistence between the theoretical findings and simulation results.

Key words: Wireless multi-hop networks, Connectivity, Log-normal shadowing fading, Rayleigh fading