Feasibility Study of Rain Rate Monitoring from Polarimetric GNSS Propagation Parameters

In this work, the feasibility of estimating rain rate based on polarimetric Global Navigation Satellite Systems (GNSS) signals is explored in theory. After analyzing the cause of polarimetric signals, three physical-mathematical relation models between co-polar phase shift (KHH, KVV), specific differential phase shift (KDP), and rain rate (R) are respectively investigated. These relation models are simulated based on four different empirical equations of nonspherical raindrops and simulated Gamma raindrop size distribution. They are also respectively analyzed based on realistic Gamma raindrop size distribution and maximum diameter of raindrops under three different rain types: stratiform rain, cumuliform rain, and mixed clouds rain. The sensitivity of phase shift with respect to some main influencing factors, such as shape of raindrops, frequency, as well as elevation angle, is also discussed, respectively. The numerical results in this study show that the results by scattering algorithms T-matrix are consistent with those from Rayleigh Scattering Approximation. It reveals that they all have the possibility to estimate rain rate using the KHH-R, KVV-R or KDP-R relation. It can also be found that the three models are all affected by shape of raindrops and frequency, while the elevation angle has no effect on KHH-R. Finally, higher frequency L1 or B1 and lower elevation angle are recommended and microscopic characteristics of raindrops, such as shape and size distribution, are deemed to be important and required for further consideration in future experiments. Since phase shift is not affected by attenuation and not biased by ground clutter cancellers, this method has considerable potential in precipitation monitoring, which provides new opportunities for atmospheric research.

[1]  Eugenio Gorgucci,et al.  A Methodology for Estimating the Parameters of a Gamma Raindrop Size Distribution Model from Polarimetric Radar Data: Application to a Squall-Line Event from the TRMM/Brazil Campaign , 2002 .

[2]  Eugenio Gorgucci,et al.  Specific Differential Phase Estimation in the Presence of Nonuniform Rainfall Medium along the Path , 1999 .

[3]  W. Bertiger,et al.  A technical description of atmospheric sounding by GPS occultation , 2002 .

[4]  V. Bringi,et al.  Drop Shapes, Model Comparisons, and Calculations of Polarimetric Radar Parameters in Rain , 2007 .

[5]  R. Gunn,et al.  THE TERMINAL VELOCITY OF FALL FOR WATER DROPLETS IN STAGNANT AIR , 1949 .

[6]  Xiaocong Wu,et al.  An introduction of mountain-based GPS radio occultation experiments in China , 2008 .

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

[8]  Adriano Camps,et al.  Polarimetric Emission of Rain Events: Simulation and Experimental Results at X-Band , 2009, Remote. Sens..

[9]  Jalil Rashed-Mohassel,et al.  AN EXACT SOLUTION OF COHERENT WAVE PROPAGATION IN RAIN MEDIUM WITH REALISTIC RAINDROP SHAPES , 2008 .

[10]  Donald A. Parsons,et al.  The relation of raindrop-size to intensity , 1943 .

[11]  Jari Nurmi,et al.  Wideband, high gain, high linearity, low noise amplifier for GNSS frequencies with compensation for low frequency instability , 2010, 2010 5th Advanced Satellite Multimedia Systems Conference and the 11th Signal Processing for Space Communications Workshop.

[12]  Guifu Zhang,et al.  Experiments in Rainfall Estimation with a Polarimetric Radar in a Subtropical Environment , 2002 .

[13]  Estel Cardellach,et al.  Polarimetric GNSS Radio-Occultations for heavy rain detection , 2010, 2010 IEEE International Geoscience and Remote Sensing Symposium.

[14]  Pengfei Zhang,et al.  An introduction to the FY3 GNOS instrument and mountain-top tests , 2014 .

[15]  V. Bringi,et al.  Accurate Characterization of Winter Precipitation Using Multi-Angle Snowflake Camera, Visual Hull, Advanced Scattering Methods and Polarimetric Radar , 2016 .

[16]  Shuanggen Jin,et al.  GNSS Remote Sensing: Theory, Methods and Applications , 2013 .

[17]  Ming Wei,et al.  Synthesis Analysis of One Severe Convection Precipitation Event in Jiangsu Using Ground-Based GPS Technology , 2015 .

[18]  Eugenio Gorgucci,et al.  Raindrop Size Distribution in Different Climatic Regimes from Disdrometer and Dual-Polarized Radar Analysis , 2003 .

[19]  Anthony J. Mannucci,et al.  A global mapping technique for GPS‐derived ionospheric total electron content measurements , 1998 .

[20]  J. W. F. Goddard,et al.  The ability of dual‐polarization radar (copolar linear) to predict rainfall rate and microwave attenuation , 1984 .

[21]  P. Ray,et al.  Broadband complex refractive indices of ice and water. , 1972, Applied optics.

[22]  Xin Wang,et al.  A method for estimating rain rate from polarimetric GNSS measurements: Preliminary analysis , 2014 .

[23]  D. V. Rogers,et al.  The aR b relation in the calculation of rain attenuation , 1978 .

[24]  Eugenio Gorgucci,et al.  An Examination of the Validity of the Mean Raindrop-Shape Model for Dual-Polarization Radar Rainfall Retrievals , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[25]  T. Herring,et al.  GPS Meteorology: Remote Sensing of Atmospheric Water Vapor Using the Global Positioning System , 1992 .

[26]  Manuel Martín-Neira,et al.  Altimetry with GNSS-R interferometry: first proof of concept experiment , 2012, GPS Solutions.

[27]  Carlos H. Muravchik,et al.  Use of GPS carrier phase double differences , 2005 .

[28]  Antonio Rius,et al.  Atmospheric polarimetric effects on GNSS radio occultations: the ROHP-PAZ field campaign , 2015 .

[29]  H. R. Pruppacher,et al.  A wind tunnel investigation of the internal circulation and shape of water drops falling at terminal velocity in air , 1970 .

[31]  Larry D. Travis,et al.  Capabilities and limitations of a current FORTRAN implementation of the T-matrix method for randomly oriented, rotationally symmetric scatterers , 1998 .

[32]  Penina Axelrad,et al.  A comparison of GPS and scatterometer sensing of ocean wind speed and direction , 2000, IGARSS 2000. IEEE 2000 International Geoscience and Remote Sensing Symposium. Taking the Pulse of the Planet: The Role of Remote Sensing in Managing the Environment. Proceedings (Cat. No.00CH37120).

[33]  G. Olalere Ajaji,et al.  Characteristics of rain induced attenuation and phase shift at cm and mm waves using a tropical raindrop size distribution model , 1985 .

[34]  Carlton W. Ulbrich,et al.  Path- and Area-Integrated Rainfall Measurement by Microwave Attenuation in the 1–3 cm Band , 1977 .

[35]  K. Beard,et al.  A New Model for the Equilibrium Shape of Raindrops , 1987 .

[36]  T. Oguchi Electromagnetic wave propagation and scattering in rain and other hydrometeors , 1983, Proceedings of the IEEE.

[37]  Antonio Rius,et al.  Sensitivity of PAZ LEO Polarimetric GNSS Radio-Occultation Experiment to Precipitation Events , 2015, IEEE Transactions on Geoscience and Remote Sensing.

[38]  Wei Yan,et al.  GNSS Measurement of Rain Rate by Polarimetric Phase Shift: Theoretical Analysis , 2016 .

[39]  Shuanggen Jin,et al.  Physical Reflectivity and Polarization Characteristics for Snow and Ice-Covered Surfaces Interacting with GPS Signals , 2013, Remote. Sens..

[40]  Steven Businger,et al.  GPS Sounding of the Atmosphere from Low Earth Orbit: Preliminary Results , 1996 .

[41]  V. Chandrasekar,et al.  Simulation of Radar Reflectivity and Surface Measurements of Rainfall , 1987 .