Statistical properties for cascaded Rayleigh fading channel models

In this paper, statistical models for cascaded Rayleigh fading channels with and without line-of-sight (LOS) are presented. The models comprise two individual summations of sinusoids with the Doppler frequencies calculated using fewer variables to reduce complexity. Statistical properties, including auto- and cross-correlations of the in-phase, quadrature components, and squared envelopes of the channels, are derived. The time-average statistical properties and the corresponding variance are also investigated to justify the convergence performance of the proposed models. Simulation results are provided to validate the performance of proposed models.