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GLONASS phase bias estimation and its PPP ambiguity resolution using homogeneous receivers

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Abstract

Integer ambiguity resolution (IAR) appreciably improves the position accuracy and shortens the convergence time of precise point positioning (PPP). However, while many studies are limited to GPS, there is a need to investigate the performance of GLONASS PPP ambiguity resolution. Unfortunately, because of the frequency-division multiple-access strategy of GLONASS, GLONASS PPP IAR faces two obstacles. First, simultaneously observed satellites operate at different wavelengths. Second and most importantly, distinct inter-frequency bias (IFB) exists between different satellites. For the former, we adopt an undifferenced method for uncalibrated phase delay (UPD) estimation and proposed an undifferenced PPP IAR strategy. We select a set of homogeneous receivers with identical receiver IFB to perform UPD estimation and PPP IAR. The code and carrier phase IFBs can be absorbed by satellite wide-lane and narrow-lane UPDs, respectively, which is in turn consistent with PPP IAR using the same type of receivers. In order to verify the method, we used 50 stations to generate satellite UPDs and another 12 stations selected as users to perform PPP IAR. We found that the GLONASS satellite UPDs are stable in time and space and can be estimated with high accuracy and reliability. After applying UPD correction, 91 % of wide-lane ambiguities and 99 % of narrow-lane ambiguities are within (−0.15, +0.15) cycles of the nearest integer. After ambiguity resolution, the 2-hour static PPP accuracy improves from (0.66, 1.42, 1.55) cm to (0.38, 0.39, 1.39) cm for the north, east, and up components, respectively.

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References

  • Al-Shaery A, Zhang S, Rizos C (2013) An enhanced calibration method of GLONASS inter-channel bias for GNSS RTK. GPS Solut 17(2):165–173

    Article  Google Scholar 

  • Blewitt G (1989) Carrier phase ambiguity resolution for the global positioning system applied to geodetic baselines up to 2000 km. J Geophys Res 94(B8):10187–10203

    Article  Google Scholar 

  • Boriskin A, Zyryanov G (2008) Algorithms to calibrate and compensate for GLONASS biases in GNSS RTK receivers working with 3rd party networks. In: Proceedings of the ION GNSS 2008, Institute of Navigation, September 16-19, Savannah, GA, p 376–384

  • Chuang S, Wenting Y, Weiwei S, Yidong L, Rui Z (2013) GLONASS pseudorange inter-channel biases and their effects on combined GPS/GLONASS precise point positioning. GPS Solut 17(4):439–451

    Article  Google Scholar 

  • Collins P, Lahaye F, Hérous P, Bisnath S (2008) Precise point positioning with AR using the decoupled clock model. In: Proceedings of the ION GNSS 2008, 16–19 September, Savannah, GA, USA, pp 1315–1322

  • 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 

  • Dow JM, Neilan RE, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geod 83(3):191–198

    Article  Google Scholar 

  • Gabor MJ, Nerem RS (1999) GPS carrier phase AR using satellite-satellite single difference. In: Proceedings of the ION GNSS 1999, Institute of Navigation, 14–17 September, Nashville, TN, USA, pp 1569–1578

  • 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. doi:10.1007/s00190-007-0187-4

    Article  Google Scholar 

  • Geng J, Teferle FN, Shi C, Meng X, Dodson AH, Liu J (2009) Ambiguity resolution in precise point positioning with hourly data. GPS Solut 13(4):263–270

    Article  Google Scholar 

  • Han S (1997) Quality-control issues relating to instantaneous ambiguity resolution for real-time GPS kinematic positioning. J Geod 71(6):351–361

    Article  Google Scholar 

  • Hatch R (1982) The synergism of GPS code and carrier measurements. In: Proceedings of the third international symposium on satellite Doppler positioning at Physical Sciences Laboratory of New Mexico State University, 8–12 Feb, vol 2, pp 1213–1231

  • Kouba J, Heroux P (2001) Precise point positioning using IGS orbit and clock products. GPS Solut 5(2):12–28. doi:10.1007/PL00012883

    Article  Google Scholar 

  • Kozlov D, Tkachenko M, Tochilin A (2000) Statistical characterization of hardware biases in GPS+GLONASS receivers. In: Proceedings of the ION GNSS 2000, Institute of Navigation, 19–22 September, Salt Lake City, UT, pp 817–826

  • Laurichesse D, Mercier F, Berthias JP, Broca P, Cerri L (2009) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP and satellite precise orbit determination. Navig J Inst Navig 56(2):135–149

    Article  Google Scholar 

  • Li X, Ge M, Zhang H et al (2013) A method for improving uncalibrated phase delay estimation and ambiguity-fixing in real-time precise point positioning. J Geod 87(5):405–416

    Article  Google Scholar 

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

    Google Scholar 

  • Loyer S, Perosanz F, Mercier F, Capdeville H, Marty J (2012) Zero difference GPS ambiguity resolution at CNES-CLS IGS analysis center. J Geod 86(11):991–1003

    Article  Google Scholar 

  • McCarthy DD, Petit G (2003) IERS Conventions (2003). IERS Technical Note No. 32, Bundesamt fuer Kartographie und Geodaesie, Frankfurt

  • Melbourne WG (1985) The case for ranging in GPS-based geodetic systems. In: Proceedings of the first international symposium on precise positioning with the global positioning system, Rockville, MD, USA, 15–19 April

  • Pratt M, Burke B, Misra P (1998) Single-epoch integer ambiguity resolution with GPS-GLONASS L1-L2 Data. In: Proceedings of the ION GNSS 1998, Institute of Navigation, 15–18 September, Nashville, TN, pp 389–398

  • Reussner N and Wanninger L (2011) GLONASS inter-frequency biases and their effects on RTK and PPP carrier phase ambiguity resolution. In: Proceedings of the ION GNSS 2011, Institute of Navigation, 19–23 September, Portland, Oregon, pp 712–716

  • Shi C, Zhao Q, Geng J, Lou Y, Ge M, Liu J (2008) Recent development of PANDA software in GNSS data processing. In: Proceeding of the society of photographic instrumentation engineers, 7285, 72851S. doi:10.1117/12.816261

  • Sleewaegen M, Simsky A, Wilde WD, Boon F, Willems T (2012) Demystifying GLONASS inter-frequency carrier phase biases. www.insideGNSS.com, pp 57-61

  • 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, de Jonge PJ, Tiberius CCJM (1997) The least-squares ambiguity decorrelation adjustment: its performance on short GPS baselines and short observation spans. J Geod 71(10):589–602

    Article  Google Scholar 

  • Wang J, Rizos C, Stewart MP, Leick A (2001) GPS and GLONASS integration: modeling and ambiguity resolution issues. GPS Solut 5(1):55–64

    Article  Google Scholar 

  • Wanninger L (2012) Carrier phase inter-frequency biases of GLONASS receivers. J Geod 86(2):139–148

    Article  Google Scholar 

  • Wübbena G (1985) Software developments for geodetic positioning with GPS using TI-4100 code and carrier measurements. In: Proceedings of the first international symposium on precise positioning with the global positioning system, Rockville, MD, April

  • Wu JT, Wu SC, Hajj GA, Bertiger WI, Lichten SM (1993) Effects of antenna orientation on GPS carrier phase. Manuscr Geod 18:91–98

  • Yamada H, Takasu T, Kubo N, Yasuda A (2010) Evaluation and calibration of receiver inter-channel biases for RTK-GPS/GLONASS. In: Proceedings of the ION GNSS 2010, Institute of Navigation, 21–24 September, Portland, Oregon, pp 1580–1587

  • Yi W (2015) Research on rapid convergence and integer ambiguity resolution method for Multi-GNSS precise point positioning. PhD thesis, Wuhan University (in Chinese)

  • Zumberge JF, Heflin MB, Jefferson DC, Watkins MM, Webb FH (1997) Precise point positioning for the efficient and robust analysis of GPS data from large networks. J Geophy Res 102(B3):5005–5017

    Article  Google Scholar 

Download references

Acknowledgments

We appreciate the helpful and constructive suggestions by the reviewers. This work has been partially supported by National Natural Science Foundation of China (Nos. 41231174, 41074008, 41404010, 41374034, 41401444), National 973 Program of China (No. 2012CB957701), Research Fund for the Doctoral Program of Higher Education of China (No. 20120141110025), the Non-profit Industry Financial Program of MWR (No. 201401072), and Open Research Fund of State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing (No. 14S02).

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Authors and Affiliations

  1. Shenzhen Key Laboratory of Spatial Smart Sensing and Services, College of Civil Engineering & Key Laboratory for Geo-Environment Monitoring of Coastal Zone of the National Administration of Surveying, Mapping and GeoInformation, Shenzhen University, Shenzhen, 518060, China

    Yanyan Liu

  2. GNSS Research Center, Wuhan University, Wuhan, 430079, China

    Yanyan Liu, Weiwei Song, Yidong Lou & Shirong Ye

  3. College of Natural Resource and Environment, South China Agricultural University, Guangzhou, 510642, China

    Rui Zhang

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  1. Yanyan Liu
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  2. Weiwei Song
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  3. Yidong Lou
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  4. Shirong Ye
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  5. Rui Zhang
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Correspondence to Weiwei Song.

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Liu, Y., Song, W., Lou, Y. et al. GLONASS phase bias estimation and its PPP ambiguity resolution using homogeneous receivers. GPS Solut 21, 427–437 (2017). https://doi.org/10.1007/s10291-016-0529-x

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