Performance Evaluation of Empirical Rain Rate Models for Computing Rain Attenuation
International Journal of Systems Science and Applied Mathematics
Volume 1, Issue 4, November 2016, Pages: 86-90
Received: Oct. 16, 2016; Accepted: Dec. 28, 2016; Published: Jan. 21, 2017
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Authors
Ezenugu Isaac Amazuilo, Department of Electrical Engineering, Imo State University (IMSU), Owerri, Nigeria
Nseobong. I. Okpura, Department of Electrical/Electronic and Computer Engineering, University of Uyo, Akwa Ibom, Nigeria
Enyenihi Henry Johnson, Department of Electrical/Electronic Engineering, Akwa Ibom State University, Mkpat Enin, Nigeria
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Abstract
When computing rain attenuation with the International Telecommunication Union (ITU) model the rain rate is normally needed. However, only limited rain rate data are published by ITU for the various regions all over the globe. In order to obtain the missing rain rate data for ITU rain attenuation model, two empirical models used to generate the rain rate data for the fifteen ITU rain zones are presented in this paper. The performance of the two empirical models (referred to as Model 1 and Model 2) is also presented. Specifically, two ITU rain zones (N and P) are considered and Model 1 is used for estimating the rain rate in rain zone P, whereas, Model 2 is used for estimating the rain rate in rain zone N. The rain attenuation computed based on the ITU rain rate generated from the empirical models and the rain attenuation computed from the actual ITU rain rata data are compared in terms of Root Mean Square Error (RMSE), coefficient of determination (r2) and prediction accuracy. According to the results, in respect of rain rate prediction for rain zone N, Model 2 has RMSE (3.491375), Coefficients of Determination (r2= 0.99816) and Prediction Accuracy (92.49319835%). Also, for rain zone N, with respect to the rain attenuation, Model 2 had RMSE of 0.792219, the Coefficients of Determination (r2) of 0.99855 and the Prediction Accuracy of 90.51054739%. Similarly, in respect of rain rate prediction for rain zone P, Model 1 has RMSE (4.924732), Coefficients of Determination (r2= 0.99798) and Prediction Accuracy (92.29421163%). In addition, with respect to the rain attenuation for rain zone P, Model 1 has RMSE is 1.276727, the Coefficients of Determination (r2) is 0.99812 and the Prediction Accuracy 90.31393492%. In all, the two prediction accuracies of the two empirical models are adjudged very good in predicting the rain rates. As such, the rain rates predicted by those models are suitable for computing the rain attenuations for the ITU rain zones.
Keywords
Rain Rate, Rain Attenuation, Empirical Models, ITU Rain Zone, RMSE, Coefficients of Determination, Prediction Accuracy
To cite this article
Ezenugu Isaac Amazuilo, Nseobong. I. Okpura, Enyenihi Henry Johnson, Performance Evaluation of Empirical Rain Rate Models for Computing Rain Attenuation, International Journal of Systems Science and Applied Mathematics. Vol. 1, No. 4, 2016, pp. 86-90. doi: 10.11648/j.ijssam.20160104.19
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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