A Stochastic Dynamic Model of Rain Attenuation

On the Outage Probability Prediction of Time Diversity Scheme in Broadband Satellite Communication Systems

“…Next, by adopting the Maseng-Bakken model [3], rain attenuation (A t ) can be modelled as a stochastic process and be described by the following Stochastic Differential Equation:…”

“…In case of rain attenuation, due to the decrease of correlation of rain rate and rain attenuation with time [3][4][5] the same signal is retransmitted after the time lag. The two received signals can be regarded as two signals received from uncorrelated radio paths, considering a very large time lag.…”

“…Furthermore, time diversity applied to satellite communication systems trying to mitigate rain impairments, can be considered as a mitigation technique for delay tolerant applications, such as Earth observation applications or data services. The latter holds due to the fact that the temporal correlation of rain rate and rain attenuation is high enough for a long time period [3][4][5] and so in delay intolerant applications such as phone calls or teleconferences time diversity will certainly decrease the quality of the service.…”

“…In this paper, a new methodology is presented for the computation of the joint CCDF of rain attenuation based on the well-known stochastic dynamic model in [3]. More particularly, the model is based on the derivation of the Transition Probability Density Function (TPDF) of rain attenuation from the Stochastic Differential Equation (SDE) of the Maseng-Bakken model [3].…”

“…More particularly, the model is based on the derivation of the Transition Probability Density Function (TPDF) of rain attenuation from the Stochastic Differential Equation (SDE) of the Maseng-Bakken model [3]. The paper is organized as follows: the proposed model and its main assumptions are presented in Section 2, in Section 3 numerical results and comparative tests are shown and in Section 4, some useful conclusions are drawn.…”