On the first- and second-order statistical properties of different Rayleigh fading channel models

This paper is a continuation of our previous works on performance of different simulation models for Rayleigh fading channels. Previously, we have compared and analyzed several Rayleigh fading simulation models in terms accuracy and complexity. Some of these models are non-ergodic and their statistical properties vary from one simulation trial to another. Thus, a focus on the convergence behavior of such models is highly recommended which is missing in our previous works. In this paper, the first- and second-order statistical properties of seven of the most popular Rayleigh fading models are reviewed. The quality of the envelope probability density function (PDF) of the different models is evaluated using a more convenient quantitative measure. The convergence of the non-ergodic stochastic models is inspected based on the variances of the time-averaged correlation properties. The simulation results reveal several important conclusions about the accuracy as well as the capacity of the different models.