Measurement based satellite to outdoor channel modeling for multiple satellite systems

In this contribution we present the results of a study on satellite to outdoor channel modeling for satellite systems with multiple satellites. Our model for several satellites is based on a first order Markov channel state model for joint processes. The probability density function (PDF) of the signal amplitude within each state is fitted to the Loo distribution. The parameters of our model are based on the simulataneous measurements of the Satellite Digital Audio Radio services (S-DARS) systems XM Radio and Sirius carried out on various locations in the USA and Canada. all channel model parameters are estimated for four different measured environments. We also study the channel state duration, the correlation between two satellite channels, and the channel spatial autocorrelation. The probability density functions of these parameters are approximated with analytical expressions. The correlation properties between two channels and the state duration indicate that significant diversity gains are possible in multiple satellite systems.