Application of stochastic differential equations for the performance evaluation of broadband satellite communication systems

In this paper, a general framework for the application of Stochastic Differential Equations (SDEs) for the accurate evaluation of broadband satellite communication networks is presented. Following the tendency that the operating frequencies in modern satellite communication systems have migrated to Ka-band and above, it is very important to model the radiowave propagation phenomena. The dynamics of rain attenuation as well as the generation of rain attenuation time series of rain attenuation are required for the prediction of the satellite communication systems´ performance. Here we present the mathematical framework for the description of correlated rain attenuations induced on multiple links with SDEs. Moreover, an expression for the channel estimation that can be used for the evaluation of Fade Mitigation Techniques (FMTs) is also presented. In the numerical results Section, two satellite systems employing spatial diversity (site and orbital) are examined and the new channel estimation expression is investigated.