Abstract: A new simulation model based on Rice’s sum of sinusoids is proposed for frequency hopping wideband Rayleigh fading channels.It is shown that a frequency hop in the physical channel model corresponds to phase hops in the simulation model while maintaining all other parameters unchanged.Due to the fact that closed-form expressions are given for all simulation parameters,so the correlation properties of the proposed simulation model can be studied.Both theory and simulation show that a pretty good agreement between the correlation properties of the simulation model and those of the underlying reference model has been observed in low computation complexity.