Empirical Models for Estimation of Rain Rate in the Fifteen ITU Rain Zones

Orogun Avuvwakoghene Jonathan, Kufre M. Udofia, Constance Kalu


Rain rate data are essential for the computation of rain attenuation that can be experienced by wireless signal passing through a given area. The International Telecommunication Union (ITU) divided the world into fifteen rain zones and for each rain zone ITU published rain rate data for just seven different link percentage availability, namely: 99%, 99.7%, 99.9%, 99.97%, 99.99%, 99.997% and 99.999%. In this paper, two empirical models are developed for estimating the rain rate for any given link percentage availability in all the fifteen ITU rain zones. The goodness of fit of the models are indicated in terms of coefficient of determination (otherwise called r^2 ), root mean square error and prediction accuracy. In all, 90.3777% is the lowest prediction accuracy recorded for Model 1 for rain zone C and 91.6306% is the lowest prediction accuracy recorded for Model 2 for rain zone B. The best prediction accuracy recorded for Model 1 is 98.2456% for rain zone Q and best prediction accuracy  recorded for Model  2 is 95.3553% for rain zone H. The models are useful for the estimation of rain rate and hence rain attenuation for any given link percentage availability in all the fifteen ITU rain zones.


Rain rate; rain attenuation; percentage availability; rain zone; empirical models

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