Peaksover Threshold Analysis to Describe the Rain Attenuation: a Based to Design Adaptive Fade Mitigation Techniques
Satellite communication systems that work at frequency above 10 GHz can be severely affected by atmospheric phenomena being the most important the attenuation due to rain. In order to satisfy availability and quality of service specifications, fade mitigation techniques are designed and tested using experimental time series of rain attenuation. These time series are synthesized from the estimated attenuation of rain to be exceeded for some percentages of an average year. This paper presents a statistical model prediction based on peaks over threshold to describe the rain attenuation exceeded for 0.01% of an average year for broadcast satellite services at Ku band. Then, the predict attenuation is described by Pareto distribution and the time between fades by a nonhomogeneous Poisson process in monthly periods. This model is valid for elevation angles from 18º to 42º degrees and reflects the climate change over the years.