Simulation models for independent Rayleigh fading channels

Rayleigh fading channel plays an important role in mobile radio channel modeling. In this paper, the simulation models for Rayleigh fading channel based on sum-of-sinusoids are divided into four categories by a uniform framework, depending on whether the parameter sets (amplitudes, phases, or Doppler frequencies) are fixed or random in simulation trials. Furthermore, the mechanisms of multipath radio propagation show that the fading phenomenon is a primary result of time variations in phases, and we summarize altogether three methods to define the specific initial phases for each category of the simulation models. For comparison purposes the second-order statistics of different kinds of simulation models are presented. Based on these analyses, some conditions of an effective Rayleigh fading channel model simulator are concluded, and a useful simulator based on Zheng´s model in Class II for multiple independent Rayleigh fading waveforms is achieved, which outperforms the other techniques in terms of its accuracy and convergence rate.