volume | PIER Journals

Abstract

This work presents an overview of rainfall fading models over satellite links in South Africa using three years of rainfall data collected by the Joss-Waldvogel RD-80 disdrometer in Durban, South Africa (29˚52'S, 30˚58'E), alongside a colocated Ku-band satellite TV link. Different drop size distribution models, such as Lognormal, Gamma, Weibull, and the Optimised drop size distribution model for Equatorial Africa, are used to formulate the rainfall attenuation models used in this study. Thereafter, the formulated attenuation models are used to convert rainfall rate time series data to predicted rainfall attenuation time series. In addition, both the ITU-R model and the Synthetic Storm Techniques are applied for comparison with the above rainfall attenuation models alongside experimental measurements over the 12.6 GHz satellite TV link from Intelsat-20 (IS-20) located at 68.5˚E on the azimuth angle of 57.5˚ with respect to Durban.

1. Matricciani, E., "Time diversity as a rain attenuation countermeasure in satellite links in the 10-100 GHz frequency bands," 2006 First European Conference on Antennas and Propagation, 1-6, IEEE, 2006. Google Scholar

2. Nakajo, R. and Y. Maekawa, "Characteristics of rain attenuation time variation in Ka band satellite communications for the kind of rain types in each season," 2012 International Symposium on Antennas and Propagation (ISAP), 1473-1476, IEEE, 2012. Google Scholar

3. Afullo, T. J. O., "Raindrop size distribution modeling for radio link design along the eastern coast of South Africa," Progress In Electromagnetics Research B, Vol. 34, 345-366, 2011.
doi:10.2528/PIERB11082005 Google Scholar

4. Akuon, P. O. and T. J. O. Afullo, "Rain cell sizing for the design of high capacity radio link systems in South Africa," Progress In Electromagnetics Research B, Vol. 35, 263-285, 2011.
doi:10.2528/PIERB11083002 Google Scholar

5. Alonge, A. A. and T. J. O. Afullo, "Rainfall microstructural analysis for microwave link networks: Comparison at equatorial and subtropical Africa," Progress In Electromagnetics Research B, Vol. 59, 45-58, 2014.
doi:10.2528/PIERB14021103 Google Scholar

6. Adetan, O. E. and T. J. Afullo, "Raindrop size distribution and rainfall attenuation modeling in equatorial subtropical Africa: Critical diameters," Annals des Telecommunication, 1-13, 10.1007/s12243-013-0418-z, 2014. Google Scholar

7. Sumbiri, D., T. J. O. Afullo, and A. A. Alonge, "Rainfall zoning and rain attenuation mapping for microwave and millimetric applications in central Africa," International Journal on Communications Antenna and Propagation (IRECAP), Vol. 6, No. 4, 198-210, 2016.
doi:10.15866/irecap.v6i4.9036 Google Scholar

8. Afolayan, B. O., T. J. Afullo, and A. Alonge, "Subtropical rain attenuation statistics on 12.6 GHz ku-band satellite link using Synthetic Storm Technique," SAIEE Africa Research Journal, Vol. 109, No. 4, 230-236, December 2018.
doi:10.23919/SAIEE.2018.8538336 Google Scholar

9. Ahuna, M. N., T. J. Afullo, and A. A. Alonge, "30-second and one-minute rainfall rate modelling and conversion for millimetric wave propagation in South Africa," SAIEE Africa Research Journal, Vol. 107, No. 4, 17-29, March 2016.
doi:10.23919/SAIEE.2016.8532248 Google Scholar

10. Afolayan, B., T. Afullo, and A. Alonge, "Seasonal and annual analysis of slant path attenuation over a 12 GHz earth-satellite link in subtropical Africa," International Journal on Communications Antenna and Propagation (IRECAP), Vol. 7, No. 7, 572-580, 2017.
doi:10.15866/irecap.v7i7.12668 Google Scholar

11. Ahuna, M. N., T. J. O. Afullo, and A. Alonge, "Outage prediction during intense rainstorm events using queuing theory and Markov Chains over radio links," Progress In Electromagnetics Research M, Vol. 73, 183-196, 2018.
doi:10.2528/PIERM18060205 Google Scholar

12. Alonge, A. A., "Semi-empirical characteristics of modified lognormal DSD inputs using rain rate distributions for radio links over the African Continent," Advances in Space Research, Vol. 67, No. 1, 179-197, 2021.
doi:10.1016/j.asr.2020.09.017 Google Scholar

13. Ajayi, G. O. and R. L. Olsen, "Modelling of a raindrop size distribution for microwave and millimetre wave applications," Radio Science, Vol. 20, No. 2, 193-202, 1985.
doi:10.1029/RS020i002p00193 Google Scholar

14. Adimula, I. and G. Ajayi, "Variation in raindrop size distribution and specific attenuation due to rain in Nigeria," Ann. Telecom., Vol. 51, No. 1-2, 87-93, 1996. Google Scholar

15. Adetan, O. and T. J. Afullo, "Three-parameter raindrop size distribution modeling for microwave propagation in South Africa," Proceedings of the International Association of Science and Technology for Development (IASTED), International Conference on Modeling and Simulation (Africa MS 2012), 155-160, 2012. Google Scholar

16. Sekine, M. and G. Lind, "Rain attenuation of centimeter, millimeter and submillimeter radio waves," Proc. of 12th European Microwave Conference, 584-589, 1982. Google Scholar

17. Jiang, H., M. Sano, and M. Sekine, "Weibull raindrop-size distribution and its application to rain attenuation," IEE Proc. Microw. Antennas Propag., Vol. 144, No. 3, 197-200, June 1997.
doi:10.1049/ip-map:19971193 Google Scholar

18. Sumbiri, D. and T. J. O. Afullo, "Optimized rain drop size distribution model for microwave propagation for equatorial Africa," SAIEE Africa Research Journal, Vol. 111, No. 1, 22-35, March 2020.
doi:10.23919/SAIEE.2020.9007882 Google Scholar

19. ITU-R "Propagation data and prediction methods required for the design of Earth-space telecommunication systems," Recommendation ITU-R, 618-13, 2017. Google Scholar

20. ITU-R "Rain height model for prediction methods," Recommendation ITU-R, 839-4, 2013. Google Scholar

21. ITU-R "Specific attenuation model for rain for use in prediction methods," ITU-R P.838-3, Geneva, 1992-1999-2003-2005. Google Scholar

22. Freeman, R. L., Radio System Design for Telecommunications, John Wiley and Sons, 2007.
doi:10.1002/0470050446

23. Olsen, R. L., D. V. Rogers, and D. B. Hodge, "The aR^b relation in the calculation of rain attenuation," IEEE Trans. Antennas & Propag., Vol. 26, No. 2, 318-329, March 1978.
doi:10.1109/TAP.1978.1141845 Google Scholar

24. Drufuca, G., "Rain attenuation statistics for frequencies above 10-GHz from rain gauge observations," J. Res. Atmosphere, Vol. 8, No. 1, 2, 399-411, 1974. Google Scholar

25. Bertok, E., G. D. Renzis, and G. Drufuca, "Estimate of attenuation due to rain at 11-GHz from rain gauge data," URSI Commission F Open Symposium, 295-300, La Baule, 1997. Google Scholar

26. Matricciani, E., C. Riva, and L. Castanet, "Performance of the synthetic storm technique in a low elevation 5 slant path at 44.5 GHz in the French Pyrénées," Proc. First European Conference on Antennas and Propagation (EuCAP), 1-6, 2006. Google Scholar

27. Kourogiorgas, C. I., A. D. Panagopoulos, J. D. Kanellopoulos, S. N. Livieratos, and G. E. Chatzarakis, "Investigation of rain fade dynamic properties using simulated rain attenuation data with synthetic storm technique," Proc. 7th European Conference on Antennas and Propagation (EuCAP), 2277-2281, 2013. Google Scholar

28. Sánchez-Lago, I., F. Fontán, P. Mariño, and U.-C. Fiebig, "Validation of the synthetic storm technique as part of a time-series generator for satellite links," IEEE Antennas and Wireless Propagation Letters, Vol. 6, 372-375, October 2007. Google Scholar

29. Lwas, A. K., Md. R. Islam, J. Chebil, M. H. Habaebi, A. F. Ismael, A. Zyoud, and H. Dao, "Rain attenuation analysis using Synthetic Storm Technique in Malaysia," IOP Conference Series: Materials Science and Engineering, Vol. 53, No. 1, 012045, 2013.
doi:10.1088/1757-899X/53/1/012045 Google Scholar

30. Matricciani, E., "Physical-mathematical model of the dynamics of rain attenuation based on rate time series and a two-layer vertical structure of precipitation," Radio Sci., Vol. 31, No. 2, 281-295, March-April 1996.
doi:10.1029/95RS03129 Google Scholar

31. Maggiori, D., "The computed transmission through rain in the 1-400 GHz frequency range for spherical and elliptical drops at any polarisation," Alta Freq., No. 50, 262-273, 1981. Google Scholar

32. Jiang, H., M. Sano, and M. Sekine, "Weibull raindrop-size distribution and its application to rain attenuation," IEE Proc. Microw. Antennas Propag., Vol. 144, No. 3, 197-200, June 1997.
doi:10.1049/ip-map:19971193 Google Scholar

33. Maitra, A., S. Das, and A. K. Shukla, "Joint statistics of rain rate and event duration for a tropical in India," Indian Journal of Radio & Space Physics, Vol. 38, No. 6, 353-360, January 2010. Google Scholar

34. Malinga, S. J. and P. A. Owolawi, "Obtaining raindrop size model using the method of moments and its applications for South African radio systems," Progress In Electromagnetics Research B, Vol. 46, 119-138, 2013.
doi:10.2528/PIERB12070806 Google Scholar

35. Ajayi, G. O., S. Feng, S. M. Radicella, and B. M. Reddy (Ed.), Handbook on Radiopropagation Related to Satellite Communications in Tropical and Subtropical Countries, ICTP, 1996.

36. Alonge, A. A., "Correlation of rain dropsize distribution with rain rate derived from disdrometers and rain gauge networks in Southern Africa,", MSc. Thesis, University of Kwa-Zulu Natal, December 2011. Google Scholar

37. Sumbiri, D., "Microwave and millimetre radio wave propagation modelling for terrestrial line-of-sight links in Central Africa,", Ph.D. Thesis, University of Kwa-Zulu Natal, June 2018. Google Scholar

Dr. Djuma Sumbiri

Prof. Thomas Joachim Odhiambo Afullo