Snow Depth Estimation Based on Combination of Pseudorange and Carrier Phase of GNSS Dual-Frequency Signals

Global navigation satellite system reflectometry (GNSS-R) is a new remote sensing technique, which can be used to measure a wide range of geophysical parameters. GNSS-R makes use of the simultaneous reception of the direct transmission and the coherent surface reflections of the GNSS signal with either a single antenna or multiple separate antennas. This paper presents a new snow depth estimation method using a combination of pseudorange and carrier phase of GNSS dual-frequency signals. The proposed method is geometry-free and is not affected by ionospheric delays. The formulas of the amplitude attenuation factor of reflected signals, multipath-induced carrier-phase error, and pesudorange error for ground-based GNSS receivers are used to describe the combined signals. Using theoretical formulas instead of in situ measurement data, analytical linear models are established in advance to describe the relationship between snow depth and main frequency of combined signal time series. When the main frequency of the combined measurements is obtained by spectrum analysis, the model is used to determine snow depth. Two experimental data sets recorded in two different environments were used to test the proposed method. The results demonstrate that there exists good agreement between the proposed method and the ground-truth measurements.

[1]  Michael S. Braasch,et al.  GPS receiver architectures and measurements , 1999, Proc. IEEE.

[2]  Jean Luc Deuze,et al.  Ground measurements of the polarized bidirectional reflectance of snow in the near‐infrared spectral domain: Comparisons with model results , 1998 .

[3]  K. Heki,et al.  GPS snow depth meter with geometry-free linear combinations of carrier phases , 2012, Journal of Geodesy.

[4]  Alexander G. Gray,et al.  Introduction to astroML: Machine learning for astrophysics , 2012, 2012 Conference on Intelligent Data Understanding.

[5]  Jens Wickert,et al.  Long-term soil moisture dynamics derived from GNSS interferometric reflectometry: a case study for Sutherland, South Africa , 2016, GPS Solutions.

[6]  E. Small,et al.  An algorithm for soil moisture estimation using GPS-interferometric reflectometry for bare and vegetated soil , 2016, GPS Solutions.

[7]  Felipe G. Nievinski,et al.  Forward modeling of GPS multipath for near-surface reflectometry and positioning applications , 2014, GPS Solutions.

[8]  Adriano Camps,et al.  Soil Moisture Retrieval Using GNSS-R Techniques: Experimental Results Over a Bare Soil Field , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[9]  John W. Betz,et al.  Engineering Satellite-Based Navigation and Timing: Global Navigation Satellite Systems, Signals, and Receivers , 2015 .

[10]  Scott W. Corzine,et al.  Analytic expressions for the reflection delay, penetration depth, and absorptance of quarter-wave dielectric mirrors , 1992 .

[11]  P. Axelrad,et al.  Use of the Correct Satellite Repeat Period to Characterize and Reduce Site-Specific Multipath Errors , 2005 .

[12]  Larry J. Romans,et al.  Ionospheric electron density profiles obtained with the Global Positioning System: Results from the GPS/MET experiment , 1998 .

[13]  F. Nievinski,et al.  GPS snow sensing: results from the EarthScope Plate Boundary Observatory , 2012, GPS Solutions.

[14]  Werner Gurtner,et al.  RINEX - The Receiver Independent Exchange Format - Version 3.00 , 2007 .

[15]  James L. Garrison,et al.  GPS: A New Tool for Ocean Science , 2001 .

[16]  Felipe Geremia-Nievinski,et al.  Statistical Comparison and Combination of GPS, GLONASS, and Multi-GNSS Multipath Reflectometry Applied to Snow Depth Retrieval , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Adnan Kavak,et al.  GPS Multipath Fade Measurements to Determine L-Band Ground Reflectivity Properties , 1996 .

[18]  Shuanggen Jin,et al.  Estimation of Snow Depth From GLONASS SNR and Phase-Based Multipath Reflectometry , 2016, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[19]  F. Nievinski,et al.  Can we measure snow depth with GPS receivers? , 2009 .

[20]  Richard A. Bennett,et al.  Assessment of Pseudorange Multipath at Continuous GPS Stations in Mexico , 2013 .

[21]  Hyuk Park,et al.  Vegetation Water Content Estimation Using GNSS Measurements , 2012, IEEE Geoscience and Remote Sensing Letters.

[22]  Jeffrey T. Freymueller,et al.  The Accidental Tide Gauge: A GPS Reflection Case Study From Kachemak Bay, Alaska , 2013, IEEE Geoscience and Remote Sensing Letters.

[23]  Stig Syndergaard,et al.  On the ionosphere calibration in GPS radio occultation measurements , 2000 .

[24]  W. L. Flock,et al.  Propagation Effects on Satellite Systems at Frequencies Below 10 GHz , 1983 .

[25]  F. Nievinski,et al.  Assessment of modernized GPS L5 SNR for ground-based multipath reflectometry applications , 2015 .

[26]  Johan S. Löfgren,et al.  Sea level measurements using multi-frequency GPS and GLONASS observations , 2014, EURASIP J. Adv. Signal Process..

[27]  C. Watson,et al.  Remote leveling of tide gauges using GNSS reflectometry: case study at Spring Bay, Australia , 2017, GPS Solutions.

[28]  E. Small,et al.  Sensing vegetation growth with reflected GPS signals , 2010 .

[29]  F. Nievinski,et al.  Snow measurement by GPS interferometric reflectometry: an evaluation at Niwot Ridge, Colorado , 2012 .

[30]  Benjamin M. Herman,et al.  Remotely Sensing the Earth’s Atmosphere Using the Global Positioning System (GPS)—The GPS/MET Data Analysis , 1999 .

[31]  Jan. Hefty USING GPS MULTIPATH FOR SNOW DEPTH SENSING - FIRST EXPERIENCE WITH DATA FROM PERMANENT STATIONS IN SLOVAKIA , 2013 .

[32]  Kegen Yu,et al.  Snow Depth Estimation Based on Multipath Phase Combination of GPS Triple-Frequency Signals , 2015, IEEE Transactions on Geoscience and Remote Sensing.