On the Inverse Gaussian modeling of rainfall rate and slant path and terrestrial links rain attenuation

Abstract

Abstract-The Inverse Gaussian (IG) distribution is examined for modeling the rainfall rate and slant path and terrestrial link rain attenuation. The long-term statistics of rain rate and rain attenuation are modeled using the IG distribution. The method is validated using the recommendation of International Telecommunication Union (ITU) recommendation ITU-R. P. 837 and rain rate data from the ITU Study Group 3 database (DBSG3) database for the case of rain rate. For the modeling of rain attenuation, data which are derived from two databases of DBSG3, these of Earth-space links and line-of-sight terrestrial links are used for validating the model. The results are compared to the one using the lognormal distribution. It has been shown that IG distribution could be more appropriate for modeling rainfall rate and slant path and terrestrial link rain attenuation. Finally, some useful conclusions are derived and presented in this paper.

Statistical modeling of rain attenuation in tropical terrestrial links

“…The lognormal (Ln1) has the best performance for levels lower or equal to 6 dB, but does not perform so well for higher levels, whereas Nakagami has a good performance for levels greater or equal to 8 dB, but does not perform well for lower levels. When comparing the Inverse Gaussian and Lognormal (Ln1) distributions, the results confirm the ones obtained for conditional distributions in [14].…”

Satellite and Terrestrial Links Rain Attenuation Time Series Generator for Heavy Rain Climatic Regions

“…On the other hand, gamma model is proven to be more accurate in regions of higher rainfall rates with greater probability like sub-tropical and tropical regions, like Japan, Asia and South America [4]. Very recently, the inverse Gaussian (IG) distribution has been used for the modeling of the rainfall rate and satellite and terrestrial links rain attenuation [5] for various locations. Nevertheless, gamma distribution fits better the rain attenuation experimental data comparing to IG distribution, in tropical and subtropical regions.…”

Multi satellite MIMO systems at Ka band and above: Outage capacity analysis using bivariate IG distribution

“…Very recently, in [4], the Inverse Gaussian (IG) [5] distribution has been identified for the modeling of long-term exceedance probability of rain attenuation. In [6], the performance of modeling rain attenuation exceedance probability for a single link with IG distribution for a tropical region is the highest among other widely used distributions, such as Weibull, gamma and lognormal.…”