Rain Attenuation Time Series Synthesizer based on Copula Functions

In this paper, a methodology based on Gaussian copulas is examined for generating rain attenuation time series. The methodology lies on the use of Gaussian copula for modeling the joint exceedance probability of rain attenuation for the temporal domain. In this paper, preliminary results for the validity of the use of Gaussian copula for modeling rain attenuation joint statistics on temporal domain are given. Then, a simple methodology is provided for the generation of rain attenuation time series. It is shown that the time series reproduce the first and second order statistics (using Kendall's tau correlation) of rain attenuation using measurements obtained at Ljubljana from Jozef Stefan Institute.