Statistical Properties Evaluation on Rayleigh VANET Fading Channels

In this paper, a new Rayleigh VANET model based on sum-of-sinusoids method (SoS) is presented. Some important statistical properties, such as variance of autocorrelation of the complex envelope and autocorrelation of the squared envelope are derived in detail. Furthermore, for above derived statistical properties, we give an detailed analysis about them by comparing their closeness between simulation and theoretical results at the different speed ratios of transmitted and received nodes. In addition, we also describe the curves of level crossing rate (LCR) and average fade duration (AFD) at various speed ratios, it is manifested that the larger speed ratio contributes to larger fading depth and faster fluctuation of received signal, which provides a reference for the protocol design in Vehicle Ad Hoc Network (VANET).