Inferring snow water equivalent for a snow-covered ground reflector using GPS multipath signals

Remote Sensing

Volumn 2, Issue 10, 2010, Pages 2426-2441

  Jacobson, Mark D ^a  

^a MONTANA STATE UNIVERSITY BILLINGS   (United States)

Author keywords

Global positioning system (GPS); Multipath; Snow density; Snow depth; Snow water equivalent; Specular reflection

Indexed keywords

MULTIPATH; SNOW DENSITY; SNOW DEPTH; SNOW WATER EQUIVALENT; SPECULAR REFLECTIONS;

ALGORITHMS; GLOBAL POSITIONING SYSTEM; MULTIPATH PROPAGATION; NAVIGATION SYSTEMS; RECEIVING ANTENNAS; REFLECTION; SNOW MELTING SYSTEMS; SNOWFALL MEASUREMENT;

SNOW;

EID: 80051951905     PISSN: None     EISSN: 20724292     Source Type: Journal    
DOI: 10.3390/rs2102426     Document Type: Article

References (32)

1. Schaefer, G.L.; Paetzold, R.F. SNOTEL (SNOwpack TELemetry) and SCAN(Soil Climate Analysis Network). Presented at Automated Weather Stations for Applications in Agriculture and Water Resources Management: Current Use and Future, Lincoln, NE, USA, March 2000. Available online: ftp://ftp.wcc.nrcs.usda.gov/downloads/factpub/soils/SNOTEL-SCAN.pdf (accessed on 18 October 2010).
2. Serreze, M.C.; Clark, M.P.; Armstrong, R.L.; McGinnis, D.A.; Pulwarty, R.S. Characteristics of the western United States snowpack from Snowpack Telemetry (SNOTEL) data. Water Resour. Res. 1999, 35, 2145-2160.
3. Molotch, N.P.; Bales, R.C. SNOTEL representatives in the Rio Grande headwaters on the basis of physiographics and remotely sensed snow cover persistence. Hydrol. Processes 2006, 20, 723-739.
4. Larson, K.M.; Gutmann, E.; Zavorotny, V.; Braun, J.; Williams, M.; Nievinski, F. Can we measure snow depth with GPS receivers? Geophys. Res. Lett. 2009, 36, L17502, doi: 10.1029/2009GL039430.
5. Jacobson, M.D. Dielectric-covered ground reflectors in GPS multipath reception-Theory and measurement. IEEE Geosci. Remote Sens. Lett. 2008, 5, 396-399.
6. Jacobson, M.D. Snow-covered lake ice in GPS multipath reception-Theory and measurement. Adv. Space Res. 2010, 46, 221-227, doi: 10.1016/j.asr.2009.10.013.
7. Jin, S.; Komjathy, A. GNSS reflectometry and remote sensing: New objectives and results. Adv. Space Res. 2010, 46, 111-117, doi: 10.1016/j.asr.2010.01.014.
8. Lowe, S.T.; Kroger, P.; Franklin, G.; LaBerecque, J.L.; Lerma, J.; Lough, M.; Marcin, M.R.; Muellerschoen, R.J.; Spitzmesser, D.; Young, L.E. A delay/doppler- mapping receiver system for GPS-reflection remote sensing. IEEE Trans. Geosci. Remote Sens. 2003, 40, 1150-1163.
9. Grant, M.S.; Acton, S.T.; Katzberg, S.J. Terrain moisture classification using GPS surface-reflected signals. IEEE Geosci. Remote Sens. Lett. 2007, 4, 41-45.
10. Larson, K.M.; Small, E.E.; Gutmann, E.; Bilich, A.; Braun, J.; Zavorotny, V.U. Use of GPS receivers as a soil moisture network for water cycle studies. Geophys. Res. Lett. 2008, 35, L24405, doi:10.1029/2008GL036013.
11. Masters, D.; Zavorotny, V.U.; Katzberg, S.J.; Emery, W. GPS signal scattering from land for moisture content determination. In Proceedings of IEEE 2000 International Geoscience and Remote Sensing Symposium, Honolulu, HI, USA, 24-28 July 2000, Volume 7, pp. 3090-3092.
12. Kavak, A.; Xu, G.; Vogel, W.J. GPS multipath fade measurements to determine L-band ground reflectivity properties. In Proceedings of the 20th NASA Propagation Experimenters Meeting, Fairbanks, AK, USA, 4-6 June 1996, pp. 257-263.
13. Kavak, A.; Vogel, W.J.; Xu, G. Using GPS to measure ground complex permittivity. Electron. Letters 1998, 34, 254-255.
14. Katzber, S.J.; Torres, O.; Grant, M.S.; Masters, D. Utilizing calibrated GPS reflected signals to estimate soil reflectivity and dielectric constant: Results from SMEX02. Remote Sens. Environ. 2006, 700, 17-28.
15. Rivas, M.B.; Maslanik, J.A.; Axelrad, P. Bistatic scattering of GPS signals off Arctic sea ice. IEEE Trans. Geosci. Remote Sens. 2010, 48, 1548-1553, doi:10.1109/TGRS.2009.2029342.
16. Cline, D.; Yueh, S.; Chapman, B.; Stankov, B.; Gasiewski, A.; Masters, D.; Elder, K.; Kelly, R.; Painter, T.H.; Miller, S.; Katzberg, S.; Mahrt, L. NASA Cold Land Processes Experiment (CLPX 2002/03): Airborne remote sensing. J. Hydrometeorol. 2009, 10, 338-346.
17. Komjathy, A.; Maslanik, J.A.; Zavorotny, V.U.; Axelrad, P.; Katzberg, S.J. Towards GPS surface reflection remote sensing of sea ice conditions. In Proceedings of Sixth International Conference on Remote Sensing for the Marine and Coastal Environment, Charleston, SC, USA, 2000;Volume II, pp. 447-456.
18. Komjathy, A.; Maslanik, J.A.; Zavorotny, V.U.; Axelrad, P.; Katzberg, S.J. Sea ice remote sensing using surface reflected GPS signals. In Proceedings of IEEE 2000 International Geoscience and Remote Sensing Symposium, Honolulu, HI, USA, 2000, Volume 7, pp. 2855-2857.
19. Gleason, S.; Lowe, S.; Zavorotny, V. Remote sensing using bistatic GNSS reflections. In GNSS Applications and Methods; Gleason, S., Gebre-Egziabher, D., Eds.; Artech House: Norwood, MA,USA, 2009.
20. Gleason, S. Towards sea ice remote sensing with space detected GPS signals: Demonstration of technical feasibility and initial consistency check using low resolution sea ice information. Remote Sensing 2010, 2, 2017-2039, doi:10.3390/rs2082017.
21. Fabra, F.; Cardellach, E.; Nogués, O.; Oliveras, S.; Ribó, S.; Rius, A.; Belmonte-Rivas, M. Sea ice remote sensing with GNSS reflections. Instrum. Viewpoint 2009, 8, 54.
22. Wiehl, M.; Legresy, R.; Dietrich, R. Potential of reflected GNSS signals for ice sheet remote sensing. Progress Electromag. Res. 2003, 40, 177-205.
23. Herceg, D.; Krejic, N.; Luzanin, Z. Quasi-Newton's method with correction. Novi Sad J. Math. 1996, 26, 115-127.
24. Stutzman, W.L. Polarization in Electromagnetic Systems; Artech House: Norwood, MA, USA, 1993; pp. 188-200.
25. Beckman, P.; Spizzichino, A. The Scattering of Electromagnetic Waves from Rough Surfaces; Artech House: Norwood, MA, USA, 1987; pp. 285-291.
26. Tiuri, M.E.; Sihvola, A.H.; Nyfors, E.G.; Hallikaiken, M.T. The complex dielectric constant of snow at microwave frequencies. IEEE J. Ocean. Eng. 1984, 9, 377-382.
27. Shi, J.; Dozier, J. Estimation of snow water equivalence using SIR-C/X-SAR, Part I: Inferring snow density and subsurface properties. IEEE Trans. Geosci. Remote Sens. 2000, 38, 2465-2474.
28. Ulaby, F.T.; Moore, R.K.; Fung, A.K. Microwave Remote Sensing, Active and Passive; Artech House: Norwood, MA, USA, 1986; Volume III, pp. 2060-2067.
29. Hallikainen, M.T.; Ulaby, F.T.; Dobson, M.C.; El-Rayes, M.A.; Wu, L.-K. Microwave dielectric behavior of wet soil-Part I: Empirical models and experimental observations. IEEE Trans. Geosci. Remote Sens. 1985, 23, 25-34.
30. Zavorotny, V.; Larson, K.M.; Braun, J.; Small, E.E.; Gutmann, E.; Bilich, A. A physical model for GPS multipath caused by land reflections: Toward bare soil moisture retrievals. IEEE J. Sel. Topics Appl. Earth Obs. Remote Sens. 2010, 3, 100-110.
31. Marquardt, D.W. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Indust. Appl. Math. 1963, 11, 431-441.
32. Shewchuk, J.R. An Introduction to the Conjugate Gradient Method without the Agonizing Pain; Carnegie Mellon University: Pittsburg, PA, USA, August 1994. Available online: http://www.cs.cmu.edu/~quake-papers/painless-conjugate-gradient.pdf (accessed on 18 October