Abstract: The realization of coloured Gaussian random processes is of the utmost importance in the modeling of both frequency-nonselective and frequency-selective mobile radio channels.It is studied a fundamental method which is based on a superposition of a finite number of harmonic functions in depth.Using results of the Gaussian process,Loo model is simulate.It is given the probability density function and the cumulative distribution function of theoretical model and simulation.Simulation results show that a superposition of a finite number of harmonic functions to approximate coloured Gaussian process,the method is simple and accurate,but its realization and real-time are very good.