Analytic design of active vehicular safety systems in sparse traffic

We propose a design methodology to determine the optimal transmission parameters for delay-critical safety applications in vehicular ad hoc networks. We develop a model to characterize the delay requirements needed to prevent rear-end collisions. By adopting a stochastic geometry framework to simultaneously address multi-user interference, path loss, and fading, we then analytically derive the transmission rate, range, and channel access probability of the nodes that satisfy the delay requirement at a target success probability.