Abstract
Measured differential phase shift ФDP is known to be a noisy unstable polarimetric radar variable, such that the quality of ФDP data has direct impact on specific differential phase shift KDP estimation, and subsequently, the KDP-based rainfall estimation. Over the past decades, many ФDP de-noising methods have been developed; however, the de-noising effects in these methods and their impact on KDP-based rainfall estimation lack comprehensive comparative analysis. In this study, simulated noisy ФDP data were generated and de-noised by using several methods such as finite-impulse response (FIR), Kalman, wavelet, traditional mean, and median filters. The biases were compared between KDP from simulated and observed ФDP radial profiles after de-noising by these methods. The results suggest that the complicated FIR, Kalman, and wavelet methods have a better de-noising effect than the traditional methods. After ФDP was de-noised, the accuracy of the KDP-based rainfall estimation increased significantly based on the analysis of three actual rainfall events. The improvement in estimation was more obvious when KDP was estimated with ФDP de-noised by Kalman, FIR, and wavelet methods when the average rainfall was heavier than 5 mm h ≥1. However, the improved estimation was not significant when the precipitation intensity further increased to a rainfall rate beyond 10 mm h ≥1. The performance of wavelet analysis was found to be the most stable of these filters.
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References
Brandes E. A., G. Zhang, and J. Vivekanandan, 2003: An evaluation of a drop distribution–based polarimetric radar rainfall estimator. J. Appl. Meteor., 42, 652–660.
Bringi V. N., and V. Chandrasekar, 2001: Polarimetric Doppler Weather Radar: Principles and Applications. Cambridge University Press, Cambridge, 635 pp.
Carey, L. D., S. A. Rutledge, D. A. Ahijevych, et al., 2000: Correcting propagation effects in C-band polarimetric radar observations of tropical convection using differential propagation phase. J. Appl. Meteor., 39, 1405–1433.
Chandrasekar V., V. N. Bringi, N. Balakrishnan, et al., 1990: Error structure of multi-parameter radar and surface measurements of rainfall. Part III: Specific differential phase. J. Atmos. Oceanic Technol., 7, 621–629.
Cifelli R., V. Chandrasekar, S. Lim, et al., 2011: A new dual-polarization radar rainfall algorithm: Application in Colorado precipitation events. J. Atmos. Oceanic Technol., 28, 352–364.
Giangrande S. E., R. McGraw, and L. Lei, 2013: An application of linear programming to polarimetric radar differential phase processing. J. Atmos. Oceanic Technol., 30, 1716–1729.
Gorgucci E., G. Scarchilli, and V. Chandrasekar, 1999: Specific differential phase estimation in the presence of nonuniform rainfall medium along the path. J. Atmos. Oceanic Technol., 16, 1690–1697.
Gorgucci E., G. Scarchilli, and V. Chandrasekar, 2000: Practical aspects of radar rainfall estimation using specific differential propagation phase. J. Appl. Meteor., 39, 945–955.
Grazioli J., M. Schneebeli, and A. Berne, 2014: Accuracy of phase-based algorithms for the estimation of the specific differential phase shift using simulated polarimetric weather radar data. IEEE Trans. Geosci. Remote Sens., 11, 763–767.
He Yuxiang, L¨u Daren, Xiao Hui, et al., 2009: Attenuation correction of reflectivity for X-band dual polarization radar. Chinese J. Atmos. Sci., 33, 1027–1037. (in Chinese)
Hu Zhiqun, Liu Liping, Chu Rongzhong, et al., 2010: Study of different attenuation correction methods in association with rainfall estimation for X-band polarimetric radars. Acta Meteor. Sinica, 24, 602–613.
Hu Zhiqun, Liu Liping, andWang Lirong, 2012: A quality assurance procedure and evaluation of rainfall estimates for C-band polarimetric radar. Adv. Atmos. Sci., 29, 144–156.
Hu Zhiqun and Liu Liping, 2014: Applications of wavelet analysis in differential propagation phase shift data de-noising. Adv. Atmos. Sci., 31, 825–835.
Hubbert J. V., V. Chandrasekar, V. N. Bringi, et al., 1993: Processing and interpretation of coherent dual-polarized radar measurements. J. Atmos. Oceanic Technol., 10, 155–164.
Hubbert J. V., and V. N. Bringi, 1995: An iterative filtering technique for the analysis of copolar differential phase and dual-frequency radar measurements. J. Atmos. Oceanic Technol., 12, 643–648.
Jameson A. R., 1991: Polarization radar measurements in rain at 5 and 9 GHz. J. Appl. Meteor., 30, 1500–1513.
Krajewski W. F., G. Villarini, and J. A. Smith, 2010: Radar-rainfall uncertainties. Bull. Amer. Meteor. Soc., 91, 87–94.
Liu Liping, Xu Baoxiang, and Cai Qiming, 1989: The effects of attenuation by precipitation and sampling error on measuring accuracy of 713 type dual linear polarization radar. Plateau Meteorology, 8, 181–188. (in Chinese)
Liu Liping, Ge Renshen, and Zhang Peiyuan, 2002: A study of method and accuracy of rainfall rate and liquid water content measurements by dual linear polarization Doppler radar. Chinese J. Atmos. Sci., 26, 709–720. (in Chinese)
Liu L. P., G. L. Wang, Z. Q. Hu, et al., 2013: Multiple Radar Integration Technology and Application to Heavy Rainfall Monitoring in Southern China. China Meteorological Press, Beijing, 92–104. (in Chinese)
May P., T. D. Keecnan, D. Zrnic, et al., 1999: Polarimetric radar measurements of tropical rain at 5-cm wavelength. J. Appl. Meteor., 38, 750–765.
Melnikov V. M., D. S. Zrnic, R. J. Doviak, et al., 2003: Calibration and Performance Analysis Of NSSL’s Polarimetric WSR-88D. NOAA/NSSL Rep., 77 pp.
Proakis J. G., and D. G. Manolakis, 1988: Introduction to Digital Signal Processing. Macmillan Publishing Co., 944 pp.
Ryzhkov A. V., and D. S. Zrni´c, 1995: Comparison of dual-polarization radar estimators of rain. J. Atmos. Oceanic Technol., 12, 249–256.
Ryzhkov A. V., and D. S. Zrni´c, 1996: Assessment of rainfall measurement that uses specific differential phase. J. Appl. Meteor., 35, 2080–2090.
Ryzhkov A. V., S. E. Giangrande, and T. J. Schuur, 2005: Rainfall estimation with a polarimetric prototype of the WSR-88D. J. Appl. Meteor., 44, 502–515.
Sachidananda M., and D. S. Zrnic, 1987: Rain rate estimates from differential polarization measurements. J. Atmos. Oceanic Technol., 4, 588–598.
Scarchilli G., E. Gorgucci, V. Chandrasekar, et al., 1993: Rainfall estimating using polarimetric technique at C-band frequencies. J. Appl. Meteor., 32, 1150–1160.
Schneebeli M., and A. Berne, 2012: An extended Kalman filter framework for polarimetric X-band weather radar data processing. J. Atmos. Oceanic Technol., 29, 711–730.
Ulbrich C. W., 1983: Natural variations in the analytical form of the raindrop size distribution. J. Appl. Meteor., 22, 1764–1775.
Vulpiani G., M. Montopoli, L. D. Passeri, et al., 2012: On the use of dual-polarized C-band radar for operational rainfall retrieval in mountainous areas. J. Appl. Meteor. Climatol., 51, 405–425.
Wang Y., and V. Chandrasekar, 2009: Algorithm for estimation of the specific differential phase. J. Atmos. Oceanic Technol., 26, 2565–2578.
Wilson J. W., and E. A. Brandes, 1979: Radar measurement of rainfall—A summary. Bull. Amer. Meteor. Soc., 60, 1048–1058.
Zrnic D., and A. Ryzhkov, 1996: Advantages of rain measurements using specific differential phase. J. Atmos. Oceanic Technol., 13, 454–464.
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Supported by the National Natural Science Foundation of China (41375038), China Meteorological Administration Special Public Welfare Research Fund (GYHY201306040 and GYHY201306075), and Jiangshu Province Meteorological Administration Beijige Open Research Fund (BJG201201).
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Hu, Z., Liu, L., Wu, L. et al. A comparison of de-noising methods for differential phase shift and associated rainfall estimation. J Meteorol Res 29, 315–327 (2015). https://doi.org/10.1007/s13351-015-4062-6
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DOI: https://doi.org/10.1007/s13351-015-4062-6