2011-01-25
A Semi-Empirical Model of Rain Attenuation at Ka-Band in Northern Taiwan
By
Progress In Electromagnetics Research M, Vol. 16, 213-223, 2011
Abstract
Combining a two-year measurement and numerical approach, a semi-empirical model has been developed for prediction of rain attenuation at Ka-band in northern Taiwan. This was done using the drop size distribution (DSD) measurement and the extinction coefficient calculated by T-matrix, followed by regressing with rain attenuation measurements in all seasons. The attenuation due to rain can be estimated by calculating the extinction coefficient over all of the rain drops within the antenna beam volume. Comparing with the measured data demonstrates that the proposed model proves sufficiently accurate for Ka-band signal attenuation in site specific. For purpose of cross reference, we also compared the proposed model with Crane and ITU-R-P838 rain attenuation models. The RMS error and chi-square test shows that the proposed semi-empirical model has better performance to predicted rain attenuation than Crane and ITU-RP383 models, implied that both model predictions may not be quite reliable in some specific areas. Analysis suggests that seasonal effects are strong in signal attenuation due to rain types. It means that rain rate itself is not a quite reliable enough to be the single parameter in the rain attenuation model.
Citation
Kunshan Chen, Chih-Yuan Chu, and Yu-Chang Tzeng, "A Semi-Empirical Model of Rain Attenuation at Ka-Band in Northern Taiwan," Progress In Electromagnetics Research M, Vol. 16, 213-223, 2011.
doi:10.2528/PIERM10100303
References

1. Atlas, D. and C. W. Ulbrich, "Path- and area-integrated rainfall measurement by microwave attenuation in the 1-3 cm band," J. Appl. Meteor., Vol. 16, 1322-1331, 1977.
doi:10.1175/1520-0450(1977)016<1322:PAAIRM>2.0.CO;2        Google Scholar

2. Freeman, R. L., "Radio System Design for Telecommunications," Wiley, 1997.        Google Scholar

3. Crane, R. K., "Electromagnetic Wave Propagation Through Rain," Wiley, 1996.        Google Scholar

4. Marshall, J. S. and W. M. Palmer, "The distribution of raindrops with size," J. Meteor., Vol. 5, 165-166, 1948.
doi:10.1175/1520-0469(1948)005<0165:TDORWS>2.0.CO;2        Google Scholar

5. Jiang, H., M. Sano, and M. Sekine, "Weibull raindrop-size distribution and its application to rain attenuation," IEE Proc. --- Microw. Antennas Propag., Vol. 144, 197-200, 1997.
doi:10.1049/ip-map:19971193        Google Scholar

6. Timothy, K. I. and S. K. Sarkar, "Generalised mathematical model for raindrop size distribution (RSD) for application in radiowave propagation and meteorological studies," Electro. Lett., Vol. 33, 895-897, 1997.
doi:10.1049/el:19970561        Google Scholar

7. Maitra, A., "Three-parameter raindrop size distribution modeling at a tropical location," Electro. Lett. , Vol. 36, 906-907, 2000.
doi:10.1049/el:20000667        Google Scholar

8. Yeo, T. S., P. S. Kooi., M. S. Leong, and L. W. Li, "Tropical raindrop size distribution for the prediction of rain attenuation of microwaves in the 10{40 GHz band," IEEE Trans. Antenna and Propagation, Vol. 49, 80-83, 2001.
doi:10.1109/8.910533        Google Scholar

9. Timothy, K. I., J. T. Ong, and E. B. L. Choo, "Raindrop size distribution using method of moments for terrestrial and satellite communication applications in Singapore and Propagation," IEEE Trans. Antenna , Vol. 50, 1420-1424, 2002.
doi:10.1109/TAP.2002.802091        Google Scholar

10. Chu, C. Y. and K. S. Chen, "Effects of rain fading on the efficiency of the Ka-band LMDS system in the Taiwan area," IEEE Trans. Vehicular Technology, Vol. 54, No. 1, 9-19, 2005.
doi:10.1109/TVT.2004.839627        Google Scholar

11. Zhang, W. and N. Moayeri, "Power-law parameters of rain specific attenuation," IEEE 802.16 Broadband Wireless Access Working Group, IEEE 802.16cc-99/24.        Google Scholar

12. Maitra, A., "Rain attenuation modeling from measurements of rain drop size distribution in the Indian region," IEEE Antenna and Wireless Propagation Letters, Vol. 3, 180-181, 2004.
doi:10.1109/LAWP.2004.833979        Google Scholar

13. Townsend, A. J., R. J. Watson, and D. D. Hodge, "Analysis of the variability in the raindrop size distribution and its effect on attenuation at 20-40 GHz," IEEE Antenna and Wireless Propagation Letters, Vol. 8, 1210-1213, 2009.
doi:10.1109/LAWP.2009.2035724        Google Scholar

14. Lee, C. H., G. Lee, I. Zawadzki, and K.-E. Kim, "A preliminary analysis of spatial variability of raindrop size distributions during stratiform rain events," J. Appl. Meteor. Climate, Vol. 48, No. 2, 270-283, 2009, doi:10.1175/2008JAMC1877.1.
doi:10.1175/2008JAMC1877.1        Google Scholar

15. Berne, A., J. Jaffrain, and M. Schleiss, "Scaling analysis of the DSD variability at small spatial scales," Proceedings of the VIth European Conference on Radar in Meteorology and Hydrology, 259-264, National Meteorological Administration, Sibiu, Romania, 2010.        Google Scholar

16. Olsen, R. L., D. V. Roger, and D. B. Hodge, "The aRb relation in the calculation of rain attenuation," IEEE Trans. Antenna and Propagation, Vol. 26, 1978.
doi:10.1109/TAP.1978.1141845        Google Scholar

17. Li, L.-W., P. S. Kooi, M. S. Leong, M. Z. Gao, and T. S. Yeo, "Microwave attenuation by realistically distorted raindrops: Part I --- Theory," IEEE Trans. Antenna and Propagation, Vol. 43, 811-822, 1995.        Google Scholar

18. Li, L.-W., P. S. Kooi, M. S. Leong, M. Z. Gao, and T. S. Yeo, "Microwave attenuation by realistically distorted raindrops: Part II --- Predictions ," IEEE Trans. Antenna and Propagation, Vol. 43, 823-828, 1995.        Google Scholar

19. Lin, D.-P. and H.-Y. Chen, "Volume integral equation solution of extinction cross section by rain drops in the range 0.6-100 GHz," IEEE Trans. Antenna and Propagation, Vol. 49, 494-499, 2001.        Google Scholar

20. Tseng, C. H., K. S. Chen, J. C. Shi, and C. Y. Chu, "Prediction of Ka-band terrestrial rain attenuation using 2-year rain drop size distribution measurements in Northern Taiwan," Journal of lectromagnetic Waves and Applications, Vol. 19, No. 13, 1833-1841, 2005.
doi:10.1163/156939305775696793        Google Scholar

21. Mishchenko, M. I., L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, Cambridge University, 2002.

22. Joss, J., J. C. Thams, and A. Waldvogel, "The variation of raindrop-size distribution at Locarno," Proceedings of International Conference on Cloud Physics, 369-373, 1967.        Google Scholar

23. Sadiku, N. O., Numerical Techniques in Electromagnetics, CRC, 1992.