A deterministic frequency hopping Rayleigh fading channel simulator designed by using optimization techniques

A channel simulator that models accurately the physical channel statistics determined by the frequency separation between two carriers in frequency hopping (FH) systems is called a FH channel simulator. In this paper, we propose a novel deterministic FH simulation model for Rayleigh fading channels, which can easily be implemented and is very useful for investigating the frequency diversity gain of low speed mobiles in practical FH systems. The optimization technique based on the L_p-norm method is exploited to calculate some simulation model parameters. Moreover, the performance evaluation of the proposed channel simulator is performed for typical GSM FH mobile radio data transmission scenarios. A pretty good agreement between the statistical properties of the simulation model and those of the underlying analytical model is observed in all cases.