A Probabilistic Model for Link Duration in Vehicular Ad Hoc Networks under Rayleigh Fading Channel Conditions

Abstract

In this paper, we present an analytical model to find the probability density function of link life time in vehicular ad hoc networks, assuming Rayleigh fading channel conditions and vehicle speed to follow uniform probability distribution. We then investigate the impact of path loss exponent, transmit power, threshold SNR and velocity on the mean link life time. We perform Kolmogorov-Smirnov test and establish that the probability distribution of link duration can be approximated as exponential.