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Evaluation of PPP-RTK based on BDS-3/BDS-2/GPS observations: a case study in Europe

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Abstract

The Chinese BeiDou Navigation Satellite System (BDS) transited from regional (Asia–Pacific) to global on December 28, 2018. In this study, the performance of PPP-RTK based on BDS-3/BDS-2/GPS observations is analyzed by utilizing the observations in Europe during a calm ionospheric disturbance period with Kp-index ranging from 0o to 2-. Satellite clock offsets are first estimated and then fixed to determine the uncalibrated phase delays (UPDs) and the ionospheric/tropospheric information from the reference network. Real-time PPP and PPP AR based on raw observations are estimated at the user, in which atmospheric constraints are imported as virtual observations if available. Analysis results based on 3 days of observations reveal that centimeter-level positioning accuracy can be achieved based on GPS, BDS, or GPS + BDS observations, and the performance can be further improved by realizing PPP AR. The satellite-differenced ionospheric and tropospheric information can be predicted for the users with an accuracy of 24.6 mm and 5.6 mm, respectively. Augmented by the predicted atmospheric information, PPP-RTK can be realized based on GPS- or BDS-only observations, and the average number of epochs required for ambiguity fixing is 1.5 and 1.6, respectively. The RMS values of the positioning errors of the north, east, and up components based on GPS-only observations are 8.0, 4.7, and 19.7 mm, while 9.8, 7.3, 29.7 mm, respectively, based on BDS-only observations. Utilizing GPS and BDS observations together, the average number of epochs required decreases to 1.2, and the positioning errors become 5.6, 3.5, and 23.3 mm for the north, east, and up components, respectively. All these results suggest that BDS can provide high-accuracy positioning services independently for users in Europe. Although a small decrease in the positioning accuracy of the up component, which might be attributed to inappropriate weighting strategy between satellite systems and requires further researches in the future, the additional BDS observations can improve the performance in the time to the first fixed solution and the positioning accuracies with respect to GPS-only positioning. The performance of PPP-RTK based on BDS-3/BDS-2/GPS observations during medium and high ionospheric disturbance periods will also be estimated in the future to fully evaluate the effects of additional BDS-3 observations in high-accuracy GNSS applications.

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References

  • 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). https://doi.org/10.1029/2005GL025546

  • Bock H, Roof R, Yoon Y, Montenbruck O (2009) GPS clock correction estimation for near real-time orbit determination applications. Aerosp Sci Technol 13(7):415–422

    Article  Google Scholar 

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

    Article  Google Scholar 

  • de Haan S, Holleman I, Holtslag AAM (2009) Real-time water vapor maps from a GPS surface network: construction, validation, and applications. J Appl Meteorol Climatol 48(7):1302–1316

    Article  Google Scholar 

  • Defraigne P, Aerts W, Pottiaux E (2015) Monitoring of UTC (k)’s using PPP and IGS real-time products. GPS Solut 19(1):165–172

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Ge M, Gendt G, Rothacher M, Shi C, Liu J (2008) Resolution of GPS carrier-phase ambiguities in Precise Point Positioning (PPP) with daily observations. J Geod 82(7):389–399

    Article  Google Scholar 

  • Ge M, Chen J, Douša J, Gendt G, Wickert J (2012) A computationally efficient approach for estimating high-rate satellite clock corrections in realtime. GPS Solut 16(1):9–17

    Article  Google Scholar 

  • Geng J, Shi C (2017) Rapid initialization of real-time PPP by resolving undifferenced GPS and GLONASS ambiguities simultaneously. J Geod 91(4):361–374

    Article  Google Scholar 

  • Kamil K, Krzysztof S, Tomasz H (2018) Quality assessment of multi-GNSS orbits and clocks for real-time precise point positioning. GPS Solut. https://doi.org/10.1007/s10291-017-0678-6

    Article  Google Scholar 

  • Kouba J (2009) A guide to using international GNSS service (IGS) products. ftp://igs.org/pub/resource/pubs/UsingIGSProductsVer21_cor.pdf

  • Laurichesse D, Mercier F, Berthias JP (2009) Real time precise GPS constellation orbits and clocks estimation using zero-difference integer ambiguity fixing. In: Proc. ION ITM 2009, Institute of Navigation, Anaheim, CA, USA, January 26–28, pp 664–672

  • Li X, Zhang X, Ge M (2011) Regional reference network augmented precise point positioning for instantaneous ambiguity resolution. J Geod 85(3):151–158

    Article  Google Scholar 

  • Li X, Ge M, Dai X, Ren X, Fritsche M, Wickert J, Schuh H (2015) Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo. J Geod 89(6):607–635

    Article  Google Scholar 

  • Li X, Yuan Y, Zhu Y, Huang J, Wu J, Xiong Y, Zhang X, Li X (2019) Precise orbit determination for BDS3 experimental satellites using iGMAS and MGEX tracking networks. J Geod 93(1):103–117

    Article  Google Scholar 

  • Liu T, Yuan Y, Zhang B, Wang N, Tan B (2017) Multi-GNSS precise point positioning (MGPPP) using raw observations. J Geod 91(3):253–268

    Article  Google Scholar 

  • Lou Y, Gong X, Gu S, Zheng F, Feng Y (2017) Assessment of code bias variations of BDS triple-frequency signals and their impacts on ambiguity resolution for long baselines. GPS Solut 21(1):177–186

    Article  Google Scholar 

  • Montenbruck O, Hauschild A, Steigenberger P, Hugentobler U, Teunissen PJG, Nakamura S (2013) Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system. GPS Solut 17(2):211–222

    Article  Google Scholar 

  • Nadarajah N, Khodabandeh A, Wang K, Choudhury M, Teunissen PJG (2018) Multi-GNSS PPP-RTK: from large- to small-scale networks. Sensors 18(4):1078. https://doi.org/10.3390/s18041078

    Article  Google Scholar 

  • Odijk D, Zhang B, Khodabandeh A, Odolinski R, Teunissen PJG (2016) On the estimability of parameters in undifferenced, uncombined GNSS network and PPP-RTK user models by means of S-system theory. J Geod 90(1):15–44

    Article  Google Scholar 

  • Odolinski R, Teunissen PJG (2019) An assessment of smartphone and low-cost multi-GNSS single-frequency RTK positioning for low, medium and high ionospheric disturbance periods. J Geod 93(5):701–722

    Article  Google Scholar 

  • Odolinski R, Teunissen PJG, Odijk D (2013) Quality analysis of a combined COMPASS/BeiDou-2 and GPS RTK positioning model. In: International Global Navigation Satellite Systems Society (IGNSS) symposium, Outrigger Gold Coast, Queensland, Australia, July 16–18, 2013

  • Pan Z, Chai H, Kong Y (2017) Integrating multi-GNSS to improve the performance of precise point positioning. Adv Sp Res 60(12):2596–2606

    Article  Google Scholar 

  • Steigenberger P, Hugentobler U, Hauschild A, Montenbruck O (2013) Orbit and clock analysis of Compass GEO and IGSO satellites. J Geod 87(6):515–525

    Article  Google Scholar 

  • Tegedor J, Øvstedal O, Vigen E (2014) Precise orbit determination and point positioning using GPS, GLONASS, Galileo and BeiDou. J Geod Sci 4(1):65–73

    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 

  • Wanninger L, Beer S (2015) BeiDou satellite-induced code pseudorange variations: diagnosis and therapy. GPS Solut 19(4):639–648

    Article  Google Scholar 

  • 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 

  • Wielgosz P, Kashani I, Grejner-Brzezinska D (2005) Analysis of long-range network RTK during a severe ionospheric storm. J Geod 79(9):524–531

    Article  Google Scholar 

  • Wübbena G, Schmitz M, Bagge A (2005) PPP-RTK: Precise Point Positioning using state-space representation in RTK networks. In: Proc. ION GNSS 2005, Institute of Navigation, Long Beach, CA, USA, September 13–16, pp 2584–2594

  • Xu X, Li M, Li W, Liu J (2018) Performance analysis of Beidou-2/Beidou-3e combined solution with emphasis on precise orbit determination and precise point positioning. Sensors 18(1):135. https://doi.org/10.3390/s18010135

    Article  Google Scholar 

  • Yan X, Huang G, Zhang Q, Liu C, Wang L, Qin Z (2019) Early analysis of precise orbit and clock offset determination for the satellites of the global BeiDou-3 system. Adv Sp Res 63(3):1270–1279

    Article  Google Scholar 

  • Yang Y, Li J, Wang A, Xu J, He H, Guo H, Shen J, Dai X (2014) Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system. Sci China Earth Sci 57(1):144–152

    Article  Google Scholar 

  • Yang Y, Tang J, Montenbruck O (2017) Chinese navigation satellite systems. In: Teunissen P, Montenbruck O (eds) Springer handbook of global navigation satellite systems. Springer, Berlin, pp 273–304 (Chapter 10)

    Chapter  Google Scholar 

  • Yang Y, Xu Y, Li J, Yang C (2018) Progress and performance evaluation of BeiDou global navigation satellite system: data analysis based on BDS-3 demonstration system. Sci China Earth Sci 61(5):614–624

    Article  Google Scholar 

  • Zhang X, He X (2016) Performance analysis of triple-frequency ambiguity resolution with BeiDou observations. GPS Solut 20(2):269–281

    Article  Google Scholar 

  • Zhang B, Teunissen PJG, Odijk D (2011) A novel un-differenced PPP-RTK concept. J Navig 64(S1):S180–S191

    Article  Google Scholar 

  • Zhang X, Wu M, Liu W, Li X, Yu S, Lu C, Wickert J (2017) Initial assessment of the COMPASS/BeiDou-3: new-generation navigation signals. J Geod 91:1225–1240

    Article  Google Scholar 

  • Zhang R, Tu R, Liu J, Hong J, Fan L, Zhang P, Lu X (2018) Impact of BDS-3 experimental satellites to BDS-2: service area, precise products, precise positioning. Adv Sp Res 62(4):829–844

    Article  Google Scholar 

  • Zhao Q, Wang C, Guo J, Wang B, Liu J (2018) Precise orbit and clock determination for BeiDou-3 experimental satellites with yaw attitude analysis. GPS Solut. https://doi.org/10.1007/s10291-017-0673-y

    Article  Google Scholar 

Download references

Acknowledgements

We thank the European Permanent GNSS Network (EPN) for providing the GNSS data. This research is supported by the Hong Kong EC/RGC Collaboration Scheme (E-PolyU501/16) and the Research Institute for Sustainable Urban Development of Hong Kong Polytechnic University.

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Authors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, 181 Chatham Road South, Hung Hom, Kowloon, 999077, Hong Kong, People’s Republic of China

    Zhao Li & Wu Chen

  2. Xi’an Research Institute of Surveying and Mapping, 1 Middle Yanta Road, Xi’an, 710054, People’s Republic of China

    Rengui Ruan

  3. School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, 430079, People’s Republic of China

    Xuexi Liu

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  1. Zhao Li
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  2. Wu Chen
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Correspondence to Zhao Li.

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Li, Z., Chen, W., Ruan, R. et al. Evaluation of PPP-RTK based on BDS-3/BDS-2/GPS observations: a case study in Europe. GPS Solut 24, 38 (2020). https://doi.org/10.1007/s10291-019-0948-6

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