A new simulation model for frequency hopping wideband Rayleigh fading channels

A new simulation model based on Ricepsilas 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 very good approximations between the correlation properties of the simulation model and those of the underlying reference model have been observed in the low computational complexity.