Vehicular Networks Under Nakagami-m Fading Channels: Outage Probability and Ergodic Achievable Rate

Vehicular networks are regarded as an effective solution for the traffic management and road safety. In this paper, the performance of the vehicular networks is investigated under Nakagami-m fading channels. The vehicular communication is considered to reuse the same time-frequency with another vehicular communication link, so that both interference and noise produce an effect on each vehicle and infrastructure. Firstly, we derive the closed-form expressions for the outage probability of vehicular links and particularly examine two special cases, that is, high SNR case and weak interference case. For both cases, approximate expressions for outage probability are provided in closed form. Then, we derive lower and upper bounds of ergoidic achievable rate, which are evident to be sufficiently tight to the Monte-Carlo simulated results. Based on these results, we further analyze the high SNR and weak interference scenarios and the asymptotic expressions of ergoidic achievable rate are also presented. All the analytical results are applicable for arbitrary locations, transmit power, as well as channel parameters. Finally, we propose the power optimization which aims at maximizing the ergodic achievable rate and guaranteeing the outage performance. Numerical results validate our analytical results via Monte Carlo simulations.