Additive statistical modelling of land mobile satellite channels in three-dimensional scattering environment

Abstract

A new channel model with additive complex envelope process for land mobile satellite channel is proposed. The two fading processes, small-scale fading and shadow fading, are represented with Nakagami-q and lognormal distribution, respectively. Exact analytical expressions of first-and second-order statistics are derived for the proposed model. For the purpose of normalisation of second-order statistics with respect to maximum Doppler frequency, a three-dimensional scattering model is taken. A special case of the authors' proposed channel model gives rise to a new distribution, 'extended Nakagami-q distribution', and the same is reported with its statistics. The dependence of second-order statistics on different parameters is analysed with the computed results obtained from derived expressions. The results computed from the analytical expressions are also in good resemblance with the corresponding measurement results in a suburban propagation environment.