The modeling and simulating of the channel is the basis and key to research the various techniques and internet planning in mobile radio communications. On the basis of the mathematical reference model, analyzing the deficiency of Jakes’ model. The descendants mentioned two kinds of modified model, this is Pop’s model and Zheng’s model, respectively. The theory comparison has carried out concerning these two models to tell how these two models improve their performance by introducing the random phase. What’s more, the simulation of those two models with matlab has done to make a contrast of their performance. Research shows that they both can solve the stationary problems, but Zheng model has a better performance. In conclusion, Zheng model is of much more value for the modeling of Rayleigh fading channel.