One Dimensional Vehicular Ad-hoc Network Connectivity Analysis Under Fading Conditions

Inter vehicle headway distance and channel fading are the two important highly random factors affecting the connectivity of vehicular ad-hoc networks (VANET). In this paper we investigate the combined effect of vehicle headway distance and channel fading on network connectivity. We develop a mathematical model for connectivity based on inter arrival time and channel parameters. The effect of channel fading is incorporated in to the analysis by using stochastic geometric method. We investigate on the Inter arrival time based power distribution which primarily determines connectivity probability and mean number of connected nodes in the network.