On the second-order statistics of a new fading model for land mobile satellite channels

In this paper, the second-order statistics of a new stochastic model for land mobile satellite channels are studied. From the proposed analytical model, a deterministic computer simulation model is derived by replacing the coloured Gaussian noise processes by finite sums of weighted sinusoids. Closed expressions of the level crossing rate and average duration of fades are derived for the analytical model. Since the Rayleigh fading channel is a special case of our proposed model, the derived expression can be verified by comparison with results for the Rayleigh fading channel. A numerical optimization procedure has been also taken in order to fit the statistics of our proposed analytical model to an equivalent real-world land mobile satellite channel for light and heavy shadowing environments. Various theoretical and simulation results show that both the analytical and computer simulation models have an excellent performance.