Skip to main content
Log in

Fast ambiguity resolution for long-range reference station networks with ionospheric model constraint method

  • Original Article
  • Published:
GPS Solutions Aims and scope Submit manuscript

Abstract

Ambiguity resolution (AR) speed is one of the most important performance indicators of a network RTK (real-time kinematics) system. Given the low correlation between the error sources of two stations, the effect of the atmospheric delay of double-difference observations cannot be ignored, thus making it difficult to fix the ambiguities. Ionospheric delay is one of the largest error sources affecting AR. This error source is reduced by the ionospheric-free combination with traditional methods. The AR speed of these methods is slow; generally, tens of minutes and even more are required for initialization. This study proposes an ionospheric model constraint (IMC) method to improve the AR speed. External information is not required apart from observations. The double-difference ionospheric delay is described with a regional double-difference ionospheric model, the coefficients of which are estimated as parameters together with ambiguities and tropospheric delays. Experimental results show that the initialization speed significantly improves by 72.5 % and that the AR speed for the newly risen satellites increases by 84.3 % with the proposed IMC method. Furthermore, the percentage of correctly fixed integer ambiguities after initialization increases to some extent.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Abidin HZ (1993) Computational and geometrical aspects of ‘on the fly’ ambiguity resolution. Technical Report No. 164, Department of Surveying Engineering, University of New Brunswick, Fredericton, NB, Canada

  • Bock Y, Gourevitch SA, Counselman CC, King RW, Abbot RI (1986) Interferometric analysis of GPS phase observations. Manuscr Geod 11(4):282–288

    Google Scholar 

  • Boehm J, Niell A, Tregoning P, Schuh H (2006) Global mapping function (GMF): a new empirical mapping function based on numerical weather model data. Geophys Res Lett 33(7):L07304

    Article  Google Scholar 

  • Chen HY, Rizos C, Han S (2004) An instantaneous ambiguity resolution procedure suitable for medium-scale GPS reference station networks. Surv Rev 37(291):396–410

    Article  Google Scholar 

  • Dai L, Wang J, Rizos C, Han S (2003a) Predicting atmospheric biases for real-time ambiguity resolution in GPS/GLONASS reference station networks. J Geod 76(11–12):617–628

    Article  Google Scholar 

  • Dai L, Han S, Wang J, Rizos C (2003b) Comparison of interpolation algorithms in network-based GPS techniques. Navigation 50(4):277–293

    Article  Google Scholar 

  • Dong DN, Bock Y (1989) Global positioning system network analysis with phase ambiguity resolution applied to crustal deformation studies in California. J Geophys Res Solid Earth 94(B4):3949–3966

    Article  Google Scholar 

  • Euler HJ, Schaffrin B (1991) On a measure for the discernibility between different ambiguity solutions in the static-kinematic GPS-mode. In: Kinematic systems in geodesy, surveying, and remote sensing. Springer, New York, 285–295

  • Fotopoulos G, Cannon ME (2001) An overview of multi-reference station methods for cm-level positioning. GPS Solut 4(3):1–10

    Article  Google Scholar 

  • Gao Y, Li Z, McLellan JF (1997) Carrier phase based regional area differential GPS for decimeter-level positioning and navigation. In: Proceedings of ION GPS 1997, Institute of Navigation, Kansas City, Missouri, 16–19 September, pp 1305–1313

  • Goad CC, Yang M (1997) A new approach to precision airborne GPS positioning for photogrammetry. Photogramm Eng Remote Sens 63(9):1067–1077

    Google Scholar 

  • Han S, Rizos C (1996) GPS network design and error mitigation for real-time continuous array monitoring systems. In: Proceedings of ION GPS 1996, Institute of Navigation, Kansas City, Missouri, 17–20 September, 1827–1836

  • Hu G, Abbey DA, Castleden N, Castleden N, Featherstone WE, Earls C, Ovstedal O, Weihing D (2005) An approach for instantaneous ambiguity resolution for medium-to long-range multiple reference station networks. GPS Solut 9(1):1–11

    Article  Google Scholar 

  • Leandro R, Santos MC, Langley RB (2006) UNB neutral atmosphere models: development and performance. In: Proceedings of ION NTM 2006, Institute of Navigation, Monterey, CA, 18–20 January, pp 564–573

  • Liu G C, Lachapelle G (2002) Ionosphere weighted GPS cycle ambiguity resolution. In: Proceedings of ION NTM 2002, Institute of Navigation, San Diego, CA, 28–30 January, pp 889–899

  • Liu JN, Ge MR (2003) PANDA software and its preliminary result of positioning and orbit determination. Wuhan Univ J Nat Sci 8(2):603–609

    Article  Google Scholar 

  • Odijk D, Teunissen PJG (2010) Improving the speed of CORS network RTK ambiguity resolution. In: Proceedings of IEEE/ION PLANS 2010, Indian Wells, CA, 4–6 May, pp 79–84

  • Paziewski J (2016) Study on desirable ionospheric corrections accuracy for network-RTK positioning and its impact on time-to-fix and probability of successful single-epoch ambiguity resolution. Adv Space Res 57(4):1098–1111

    Article  Google Scholar 

  • Schaffrin B, Bock Y (1988) A unified scheme for processing GPS dual-band phase observations. Bull Géod 62(2):142–160

    Article  Google Scholar 

  • Sieradzki R, Paziewski J (2015) Study on reliable GNSS positioning with intense TEC fluctuations at high latitudes. GPS Solut 20(3):553–563

    Article  Google Scholar 

  • Teunissen PJG (1995) The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. J Geod 70(1–2):65–82

    Article  Google Scholar 

  • Teunissen PJG, Joosten P, Tiberius C (1999) Geometry-free ambiguity success rates in case of partial fixing. In: Proceedings of ION NTM 1999, Institute of Navigation, San Diego, CA, 25–27 January, pp 201–207

  • Wanninger L (1995), Improved ambiguity resolution by regional differential modelling of the ionosphere. In: Proceedings of ION GPS 1995, Institute of Navigation, Palm Springs, CA, 12–15 September, pp 55–62

  • Wielgosz P (2011) Quality assessment of GPS rapid static positioning with weighted ionospheric parameters in generalized least squares. GPS Solut 15(2):89–99

    Article  Google Scholar 

Download references

Acknowledgments

This work is funded by the National High Technology Research and Development Program of China (No. 2012AA12A209). In addition, it is a part of the project “Research on the Perception Technology about the Essential Factor of Chang Jiang Waterway and Its Application” (No. 2013-364-548-200), which is supported by the Chang Jiang Waterway Bureau. This work is also a part of the project “Open Service Platform of Testing BDS Application Products” supported by the Electronic Information Industry Development Fund of the Ministry of Industry and Information Technology of China. All this support is gratefully acknowledged. The authors are grateful to anonymous reviewers for their insightful comments, which have helped to improve the quality of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hui Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, M., Liu, H., Bai, Z. et al. Fast ambiguity resolution for long-range reference station networks with ionospheric model constraint method. GPS Solut 21, 617–626 (2017). https://doi.org/10.1007/s10291-016-0551-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10291-016-0551-z

Keywords

Navigation