Adaptation of Weibull Distribution on Channel Modeling for Satellite Communication Links above 10GHZ

Satellite Communication Networks in modern days has higher frequencies above 10GHZ.Frequencies more than 10GHZ causes rain attenuation. In this paper, a channel model is defined to synthesize rain attenuation of 10GHZ and above. Previously, for satellite communication networks, Maseng-Bakken(M-B)model is used which is a time series synthesizer proposed based on Stochastic Differential equations which assumes that rain attenuation is determined by lognormal distribution and rate of change in rain attenuation proportional to its instantaneous values. In this paper, a new model is proposed that modifies the existing Maseng-Bakken(M-B) model and generates rain attenuation time series based on Weibull Distribution. It is based on first order stochastic differential equations and rain attenuation is introduced on the incline path as a Weibull based stochastic process. Theoretically, the probabilities of hitting time random variables are represented in this model. Hitting time statistics are useful in the design of Fade Mitigation Techniques(FMT).The proposed synthesizer is verified in terms of probability and theoretical CCDF(Complementary Cumulative Distribution Function) of hitting times and comparison of these are derived from simulations which are discussed in Numerical results of Weibull Distribution. KeywordsMaseng-Bakken(M-B) model, Stochastic Differential Equations(SDEs), Adaptive Coding and Modulation (ACM) Technique, Power Control, Fade Mitigation Techniques (FMTs), Complementary Cumulative Distribution Function (CCDF), Weibull Based Stochastic Dynamic Model, Hitting Time Statistics.