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Comparative Analysis of Height-Related Multiple Correction Interpolation Methods with Constraints for Network RTK in Mountainous Areas

Published online by Cambridge University Press:  09 February 2016

Junesol Song ,
Byungwoon Park  and
Changdon Kee
Junesol Song
Affiliation:
(School of Mechanical and Aerospace Engineering and the Institute of Advanced Aerospace, Seoul National University, Republic of Korea)
Byungwoon Park
Affiliation:
(School of Aerospace Engineering, Sejong University, Republic of Korea)
Changdon Kee*
Affiliation:
(School of Mechanical and Aerospace Engineering and the Institute of Advanced Aerospace, Seoul National University, Republic of Korea)
*
(Email: [email protected])
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Abstract

In Network RTK (Real-Time Kinematic) positioning, the multiple corrections from the reference stations, which constitute a network, are interpolated for the user location through appropriate interpolation models. There exist various methods to model spatial decorrelation errors from the tropospheric and ionospheric delay, which are the main contributors of the multiple corrections. Since tropospheric delay is largely affected by height differences, the heights of the multiple reference stations should be considered when selecting the appropriate interpolation methods. This work provides a comparative analysis of the different levels of performance of each height-related multiple correction interpolation method. In addition, this study proposes to add constraints to the conventional height-related interpolation methods that are derived from the characteristics of the tropospheric zenith delay variation over height. The actual Global Positioning System (GPS) observations are collected from selected reference station networks located in the USA for performance evaluation. As a result, the proposed solution yields improved vertical positioning accuracy by approximately 10% compared to the conventional interpolation methods for the selected networks.

Keywords

Network RTKMultiple reference stationsCarrier phase correctionTropospheric delay
Type
Research Article
Information
The Journal of Navigation , Volume 69 , Issue 5 , September 2016 , pp. 991 - 1010
Copyright
Copyright © The Royal Institute of Navigation 2016 

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References

REFERENCES

Bean, B. R. and Dutton, E. J. (1966). Radio Meteorology. Dover Publications, New York, NY, 1–21.Google Scholar
Black, H. and Eisner, A., (1984). Correcting satellite Doppler data for tropospheric effects. Journal of Geophysical Research, 89, 2616–2626.CrossRefGoogle Scholar
Byrd, R. H., Hribar, M. E. and Nocedal, J. (1999). An Interior Point Algorithm for Large-Scale Nonlinear Programming, SIAM Journal on Optimization. SIAM Journal on Optimization, 9(4), 877–900.Google Scholar
Collins, J. P. and Langley, R. B. (1999). Nominal and extreme error performance of the UNB3 tropospheric delay model. Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, New Brunswick, Canada, 47–55.Google Scholar
Collins, J. (1999). Assessment and Development of a Tropospheric Delay Model for Aircraft Users of the Global Positioning System. M.Sc.E. thesis, Department of Geodesy and Geomatics Engineering, University of New Brunswick, New Brunswick, Canada.Google Scholar
Dach, R., Hugentobler, U., Fridez, P., Meindl, M. (2008) Bernese GPS Software Version 5.0, Astronomical Institute, University of Bern, Bern, Switzerland.Google Scholar
Dai, L., Han, S., Wang, J. and Rizos, C. (2003). Comparison of Interpolation Algorithms in Network-Based GPS Techniques. Navigation, 50(4), 277–293.Google Scholar
Euler, H. J., Keenan, C. R. and Zebhause, B. E. (2001). Study of a Simplified Approach in Utilizing Information from Permanent Reference Station Arrays. Proceedings of the ION GPS 1991, Salt Lake City, UT, 279–391.Google Scholar
Gao, Y., Li, Z. and McLellan, J. F. (1997). Carrier phase based regional area differential GPS for decimeter-level positioning and navigation. Proceedings of the ION GPS 1997, Kansas City, MO, 1305–1313.Google Scholar
Han, S. and Rizos, C. (1996). GPS network design and error mitigation for real-time continuous array monitoring systems. Proceedings of the ION GPS 1996, Kansas City, MO, 1827–1836.Google Scholar
Loomis, P., Sheynblatt, L., Mueller, T. (1991). Differential GPS Network Design. Proceedings of the ION GPS 1991, Albuquerque, NM, 511–520.Google Scholar
Park, B. (2008). Study on reducing temporal and spatial decorrelation effect in GNSS augmentation system: consideration of the correction message standardization. PhD thesis, Seoul National University, Seoul, South Korea.Google Scholar
Park, B. and Kee, C. (2010). The Compact Network RTK Method: An Effective Solution to Reduce GNSS Temporal and Spatial Decorrelation Error. Journal of Navigation, 63(2), 343–363.Google Scholar
Raquet, J. (1997). Multiple user network carrier-phase ambiguity resolution. Proceedings of the International Symposium on Kinematic Systems in Geodesy, Geomatics and Navigation, Banff, Canada, 45–55.Google Scholar
Saastamoinen, J. (1972). Contributions to the theory of atmospheric refraction. Bulletin Géodésique, 105(1), 279–298.CrossRefGoogle Scholar
Schaer, S., Beutler, G., Rothacher, M., Brockmann, E., Wiget, A. and Wild, U. (1999). The impact of the atmosphere and other systematic errors on permanent GPS networks. Proceedings of the IAG Symposium on Positioning, Birmingham, UK, 373–380.Google Scholar
Song, J., Kee, C., Park, B., Park, H. and Seo, S. (2014). Correction Combination of Compact Network RTK Considering Tropospheric Delay Variation Over Height. Proceedings of IEEE/ION PLANS, Monterey, CA, 95–101.Google Scholar
Strang, G. and Borre, K. (1997). Linear Algebra, Geodesy and GPS. Wellesley-Cambridge Press, Wellesley MA, 267–269.Google Scholar
Takac, F. (2008). The relationship between network RTK solutions MAC, VRS, PRS, FKP and i-MAX. Proceedings of the ION GNSS 2008, Savannah, GA, 348–355.Google Scholar
Varner, C. (2000). DGPS Carrier Phase Networks and Partial Derivative Algorithms. PhD Thesis, University of Calgary, Calgary, Canada.Google Scholar
Wang, C., Feng, Y., Higgins, M. and Cowie, B. (2010) Assessment of Commercial Network RTK User Positioning Performance over Long Inter-Station Distances. Journal of Global Positioning Systems, 9(1), pp. 78–89.Google Scholar
Wanninger, L. (1995). Improved ambiguity resolution by regional differential modelling of the ionosphere. Proceedings of the ION GPS 1995, Palm Springs, CA, 55–62.Google Scholar
Yin, H., Huang, D. and Xiong, Y. (2008). Regional Tropospheric Delay Modeling Based on GPS Reference Station Network. VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy, 132, 185–188.Google Scholar