Rain attenuation time series synthesizer based on inverse Gaussian distribution

A new rain attenuation time series synthesizer for Earth-space links is presented based on the fundamental assumption that the long-term distribution of the rain induced attenuation follows the inverse Gaussian (IG) distribution. Accurate time series synthesizers are very important for the system evaluation of satellite communication networks operating above 10 GHz. The proposed synthesizer is based on the first order stochastic differential equations and the hypothesis that IG describes the long-term exceedance probability. The synthesizer is tested against experimental data and theoretical modelling of the exceedance probability of rain attenuation, showing that the synthesizer reproduces the first order statistics. It has also been tested on time diversity experimental data, with very encouraging results.