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A novel partial ambiguity resolution based on ambiguity dilution of precision- and convex-hull-based satellite selection for instantaneous multiple global navigation satellite systems positioning

Published online by Cambridge University Press:  08 February 2022

Xin Liu ,
Shubi Zhang ,
Qiuzhao Zhang ,
Nanshan Zheng ,
Wenyuan Zhang  and
Nan Ding
Xin Liu
Affiliation:
School of Environment and Spatial Informatics, China University of Mining and Technology, Jiangsu, China.
Shubi Zhang
Affiliation:
School of Environment and Spatial Informatics, China University of Mining and Technology, Jiangsu, China.
Qiuzhao Zhang*
Affiliation:
School of Environment and Spatial Informatics, China University of Mining and Technology, Jiangsu, China.
Nanshan Zheng
Affiliation:
School of Environment and Spatial Informatics, China University of Mining and Technology, Jiangsu, China.
Wenyuan Zhang
Affiliation:
School of Environment and Spatial Informatics, China University of Mining and Technology, Jiangsu, China.
Nan Ding
Affiliation:
School of Geography, Geomatics and Planning, Jiangsu Normal University, Jiangsu, China
*
*Corresponding author. E-mail: [email protected]
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Abstract

Although multiple global navigation satellite systems (multi-GNSS) with more visible satellites have a high success rate, they make positioning time-consuming. Partial ambiguity resolution (PAR) can improve the efficiency of multi-GNSS; however, at present PAR cannot simultaneously achieve fast and high-precision positioning with a high success rate. Therefore, PAR based on ambiguity dilution of precision- and convex-hull-based satellite selection is proposed. The experimental results of the proposed PAR, its corresponding satellite selection algorithm, the classical PAR, and the low-cutoff-elevation-angle-based multi-GNSS show that the proposed PAR outperforms the classical PAR, i.e., it achieves fast and high-precision positioning with a success rate of 100⋅0%. Furthermore, in terms of R-ratio-test-based ambiguity validation, it improves the reliability of carrier-phase-based integrity monitoring of multi-GNSS and the corresponding satellite selection algorithms. In addition, its positioning accuracy is close to that of multi-GNSS and higher than that of the classical PAR, with maximum differences of 0⋅3 and 2⋅4 cm, respectively. The proposed single (dual) frequency-based PAR improves single/dual-frequency multi-GNSS efficiency by more than 54⋅9%/80⋅4% (42⋅0%/75⋅8%) when 14⋅4 (13⋅2) out of 24⋅4 satellites are selected.

Keywords

fast and high-precision positioningpartial ambiguity resolutionconvex hullambiguity dilution of precision
Type
Research Article
Information
The Journal of Navigation , Volume 75 , Issue 4 , July 2022 , pp. 832 - 848
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Institute of Navigation

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References

An, P. (2007). A modification of Graham's algorithm for determining the convex hull of a finite planar set. Annales Mathematicae et Informaticae, 34, 3–8.Google Scholar
BeiDou Navigation Satellite System. (2021). BDS Ephemeris 2021-082. Available at: http://en.beidou.gov.cn/SYSTEMS/Ephemeris/ [Accessed 23 March 2021].Google Scholar
Brack, A. (2017). Reliable GPS+BDS RTK positioning with partial ambiguity resolution. GPS Solutions, 21, 1083–1092.CrossRefGoogle Scholar
Brack, A. and Christoph, G. (2014). Generalized integer aperture estimation for partial GNSS ambiguity fixing. Journal of Geodesy, 88, 479–490.CrossRefGoogle Scholar
Deng, C., Tang, W., Liu, J. and Shi, C. (2014). Reliable single-epoch ambiguity resolution for short baselines using combined GPS/Beidou system. GPS Solutions, 18, 375–386.CrossRefGoogle Scholar
European GNSS Service Centre. (2021). Constellation Information. Available at: https://www.gsc-europa.eu/system-service-status/constellation-information [Accessed 23 March 2021].Google Scholar
Feng, S., Ochieng, W., Moore, T., Hill, C. and Hide, C. (2009). Carrier phase-based integrity monitoring for high-accuracy positioning. GPS Solutions, 13, 13–22.CrossRefGoogle Scholar
goGPS-project. (2021). goGPS_MATLAB. Available at: https://github.com/goGPS-Project/ [Accessed 23 March 2021].Google Scholar
GPS.GOV. (2021). Current and Future Satellite Generations. Available at: https://www.gps.gov/systems/gps/space/#generations [Accessed 23 March 2021].Google Scholar
Han, S. and Rizos, C. (1999). Single-epoch ambiguity resolution for real-time GPS attitude determination with the aid of one-dimensional optical fiber gyro. GPS Solutions, 3, 5–12.CrossRefGoogle Scholar
Lancaster, P. and Tismenetsky, M. (1985). The Theory of Matrices with Applications. San Diego: Academic Press.Google Scholar
Li, J., Yang, Y., Xu, J., He, H. and Gou, H. (2015). GNSS multi-carrier fast partial ambiguity resolution strategy tested with real BDS/GPS dual- and triple-frequency observations. GPS Solutions, 19, 5–13.CrossRefGoogle Scholar
Liu, X., Chen, G., Zhang, Q. and Zhang, S. (2017). Improved single-epoch single-frequency PAR LAMBDA algorithm with baseline constraints for the BeiDou navigation satellite system. IET Radar, Sonar & Navigation, 11, 1549–1557.CrossRefGoogle Scholar
Liu, X., Zhang, S., Zhang, Q., Ding, N. and Yang, W. (2019). A fast satellite selection algorithm with floating high cut-off elevation angle based on ADOP for instantaneous multi-GNSS single-frequency relative positioning. Advances in Space Research, 63, 1234–1252.CrossRefGoogle Scholar
Liu, X., Zhang, S., Zhang, Q., Zheng, N., Zhang, W. and Ding, N. (2021). Theoretical analysis of the multi-GNSS contribution to partial ambiguity estimation and R-ratio test-based ambiguity validation. GPS Solutions, 25, 52.CrossRefGoogle Scholar
Mowlam, A. (2004). Baseline Precision Results Using Triple Frequency Partial Ambiguity Sets. Proceedings of the 17th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS 2004), Long Beach, CA.Google Scholar
Odijk, D. and Teunissen, P. (2008). ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models. Journal of Geodesy, 82, 473–492.CrossRefGoogle Scholar
Odolinski, R. and Teunissen, P. (2016). Single-frequency, dual-GNSS versus dual-frequency, single-GNSS: A low-cost and high-grade receivers GPS-BDS RTK analysis. Journal of Geodesy, 90, 1255–1278.CrossRefGoogle Scholar
Odolinski, R., Teunissen, P. and Odijk, D. (2013). An Analysis of Combined COMPASS/BeiDou-2 and GPS Single- and Multiple-Frequency RTK Positioning. Proceedings of the ION 2013 Pacific PNT Meeting, Honolulu, Hawaii.Google Scholar
Odolinski, R., Teunissen, P. and Odijk, D. (2015). Combined BDS, Galileo, QZSS and GPS single-frequency RTK. GPS Solutions, 19, 151–163.CrossRefGoogle Scholar
Parkins, A. (2011). Increasing GNSS RTK availability with a new single-epoch batch partial ambiguity resolution algorithm. GPS Solutions, 15, 391–402.CrossRefGoogle Scholar
Phillips, A. (1984). Geometrical determination of PDOP. Navigation, 31, 329–337.CrossRefGoogle Scholar
Takasu, T. and Yasuda, A. (2010). Kalman-filter-based integer ambiguity resolution strategy for long-baseline RTK with ionosphere and troposphere estimation. Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS 2010), Portland, OR.Google Scholar
Teunissen, P. (1995). The least-squares ambiguity decorrelation adjustment: A method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70, 65–82.CrossRefGoogle Scholar
Teunissen, P. (1997). A canonical theory for short GPS baselines. Part IV: Precision versus reliability. Journal of Geodesy, 71, 513–525.CrossRefGoogle Scholar
Teunissen, P., Joosten, P. and Tiberius, C. (1999). Geometry-free Ambiguity Success Rates in Case of Partial Fixing. Proceedings of the 1999 National Technical Meeting of the Institute of Navigation, San Diego, CA.Google Scholar
Teunissen, P., Odolinski, R. and Odijk, D. (2014). Instantaneous BeiDou + GPS RTK positioning with high cut-off elevation angles. Journal of Geodesy, 88, 335–350.CrossRefGoogle Scholar
Verhagen, S. (2003). On the approximation of the integer least-squares success rate: Which lower or upper bound to use? Journal of Global Position Systems, 2, 117–124.CrossRefGoogle Scholar
Verhagen, S. and Teunissen, P. (2006). New global navigation satellite system ambiguity resolution method compared to existing approaches. Journal of Guidance, Control, and Dynamics, 29, 981–991.CrossRefGoogle Scholar
Verhagen, S. and Teunissen, P. (2013). The ratio test for future GNSS ambiguity resolution. GPS Solutions, 17, 535–548.CrossRefGoogle Scholar
Verhagen, S., Teunissen, P., Marel, H. and Li, B. (2011). GNSS Ambiguity Resolution: Which Subset to Fix. Proceedings of International Global Navigation Satellite Systems Society, IGNSS Symposium 2011, Sydney, NSW, Australia.Google Scholar
Yang, Y., Li, J., Xu, J., Tang, J., Guo, H. and He, H. (2011). Contribution of the compass satellite navigation system to global PNT users. Chinese Science Bulletin, 56, 2813–2819.CrossRefGoogle Scholar
Yi, T., Li, H. and Gu, M. (2013). Experimental assessment of high-rate GPS receivers for deformation monitoring of bridge. Measurement, 46, 420–432.CrossRefGoogle Scholar
Zaminpardaz, S., Teunissen, P. and Nadarajah, N. (2017). GLONASS CDMA l3 ambiguity resolution and positioning. GPS Solutions, 21, 535–549.CrossRefGoogle Scholar