A procedure to calibrate multiparameter weather radar using properties of the rain medium

The joint distribution characteristics of size and shape of raindrops directly translate into features of polarization diversity measurements in rainfall. Theoretical calculations as well as radar observations indicate that the three polarization diversity measurements, namely, reflectivity, differential reflectivity, and specific differential propagation phase, lie in a constrained space that can be approximated by a three-dimensional (3D) surface. This feature as well as the vertical-looking observation of raindrops are used to determine biases in calibration of the radar system. A simple procedure is developed to obtain the bias in the absolute calibration from polarization diversity observation in rainfall. Simulation study as well as data analysis indicate that calibration errors can be estimated to an accuracy of 1 dB.

[1]  Maurice G. Kendall,et al.  The advanced theory of statistics , 1945 .

[2]  C. Ulbrich Natural Variations in the Analytical Form of the Raindrop Size Distribution , 1983 .

[3]  V. Chandrasekar,et al.  An Examination of Propagation Effects in Rainfall on Radar Measurements at Microwave Frequencies , 1990 .

[4]  Alexander B. Kostinski Fluctuations of Differential Phase and Radar Measurements of Precipitation , 1994 .

[5]  V. Chandrasekar,et al.  Polarimetric radar signatures of precipitation at S- and C-bands , 1991 .

[6]  Eugenio Gorgucci,et al.  Self-consistency of polarization diversity measurement of rainfall , 1996, IEEE Trans. Geosci. Remote. Sens..

[7]  V. Chandrasekar,et al.  Error Structure of Multiparameter Radar and Surface Measurements of Rainfall. Part III : Specific Differential Phase , 1990 .

[8]  Alexander V. Ryzhkov,et al.  Assessment of Rainfall Measurement That Uses Specific Differential Phase , 1996 .

[9]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[10]  H. Pruppacher,et al.  A Semi-Empirical Determination of the Shape of Cloud and Rain Drops , 1971 .

[11]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[12]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[13]  V. Chandrasekar,et al.  Rainfall Estimation Using Polarimetric Techniques at C-Band Frequencies , 1993 .

[14]  E. Parzen 1. Random Variables and Stochastic Processes , 1999 .

[15]  Maurice G. Kendall,et al.  The advanced theory of statistics , 1945 .

[16]  V. Chandrasekar,et al.  Axis ratios and oscillations of raindrops , 1988 .

[17]  V. N. Bringi,et al.  Potential Use of Radar Differential Reflectivity Measurements at Orthogonal Polarizations for Measuring Precipitation , 1976 .