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Performance analysis of triple-frequency ambiguity resolution with BeiDou observations

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Abstract

We investigate triple-frequency ambiguity resolution performance using real BeiDou data. We test four ambiguity resolution (AR) methods which are applicable to triple-frequency observations. These are least squares ambiguity decorrelation adjustment (LAMBDA), GF-TCAR (geometry-free three-carrier ambiguity resolution), GB-TCAR (geometry-based three-carrier ambiguity resolution) and GIF-TCAR (three-carrier ambiguity resolution based on the geometry-free and ionospheric-free combination). A comparison between LAMBDA, GF-TCAR and GB-TCAR was conducted over three short baselines and two medium baselines. The results indicated that LAMBDA is optimal in both short baseline and medium baseline cases. However, the performances of GB-TCAR and LAMBDA differ slightly for short baselines. Compared with GF-TCAR, which uses the geometry-free model, the GB-TCAR using the geometry-based model improves the AR performance significantly. Compared with dual-frequency observations, the LAMBDA AR results show a significant improvement when using triple-frequency observations over short baselines. The performance of GIF-TCAR is evaluated using multi-epoch observations. The results indicated that multi-path errors on carrier phases will have a significant influence on GIF-TCAR AR results, which leads to different GIF-TCAR AR performance for different type of satellites. For GEO (Geostationary Orbit) satellites, the ambiguities can barely be correctly fixed because the multi-path errors on carrier phases are very systematic. For IGSO (Inclined Geosynchronous Orbit) and MEO (Medium Earth Orbit) satellites, when the elevation cutoff angle is set as 30°, several tens to several hundreds of epochs are needed for correctly fixing the narrow lane ambiguities. The comparison of positioning performance between dual-frequency observations and triple-frequency observations was also conducted. The results indicated that a minor improvement can be achieved by using triple-frequency observations compared with using dual-frequency observations.

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References

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

    Chapter  Google Scholar 

  • Feng Y (2008) GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. J Geod 82(12):847–862

    Article  Google Scholar 

  • Feng Y, Moody M (2006) Improved phase ambiguity resolution using three GNSS signals, PCT/AU2006/000492, http://www.wipo.int/pctdb. April 2006

  • Feng Y, Rizos C (2005) Three carrier approaches for future global, regional and local GNSS positioning services: concepts and performance perspectives. In: Proc. ION GNSS-2005, Long Beach, CA, pp 2277–2787

  • Forssell B, Martin-Neira M, Harris RA (1997) Carrier phase ambiguity resolution in GNSS-2. In: Proc. ION GPS-1997, Institute of Navigation, Kansas City, Missouri, Sept, pp 1727–1736

  • Harris RA (1997) Direct resolution of carrier phase ambiguity by “Bridging the Wavelength Gap”. ESA, ESA Pub. “TST/60107/RAH/Word”

  • Hatch R (2006) A new three-frequency, geometry-free technique for ambiguity resolution. In: Proc. ION GNSS-2006, Fort Worth, TX, USA, Sept, pp 309–316

  • Ji S, Wang X, Xu Y, Wang Z, Chen W, Liu H (2014) First preliminary fast static ambiguity resolution results of medium-baseline with triple-frequency BeiDou wavebands. J Navig. doi:10.1017/S0373463314000332

    Google Scholar 

  • Joosten P, Teunissen PJG, Jonkman N (1999) GNSS three carrier phase ambiguity resolution using the LAMBDA method. In: Proceedings of the 3rd European conference on global navigation satellite systems (Proceedings of the GNSS 1999), Genova, Italy, October, pp 367–372

  • Jung J (1999) High integrity carrier phase navigation for future LAAS using multiple civilian GPS signals. In: Proc. ION GPS-1999, Institute of Navigation, Nashville, Tennessee, Alexandria, pp 14–17

  • Li B, Feng Y, Shen Y (2010) Three carrier ambiguity resolution: distance-independent performance demonstrated using semi-generated triple frequency GPS signals. GPS Solut 14(2):177–184

    Article  Google Scholar 

  • Niell AE (1996) Global mapping functions for the atmosphere delay at radio wavelengths. J Geophys Res 101:3227–3246

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Teunissen PJG, Joosten P, Tiberius CCJM (2002) A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution. In: Proc. ION GPS-2002, Portland, Oregon, Sept, pp 2799–2808

  • Vollath U (2004) The factorized multi-carrier ambiguity resolution (FAMCAR) approach for efficient carrier-phase ambiguity estimation. In: Proc. ION GNSS-2004, Long Beach, CA, Sept, pp 2499–2508

  • Wang K, Rothacher M (2013) Ambiguity resolution for triple-frequency geometry-free and ionosphere-free combination tested with real data. J Geod 87(6):539–553

    Article  Google Scholar 

  • Wang G, Jong K, Zhao Q, Hu Z, Guo J (2014) Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solut. doi:10.1007/s10291-014-0374-8

    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 

Download references

Acknowledgments

The authors gratefully acknowledge IGS and GNSS Research Centre of Curtin University (Australia) for providing BDS triple-frequency data and products. We also appreciate two anonymous reviewers for their valuable comments and improvements to this manuscript. This study was supported by the National Natural Science Foundation of China (Grant 41474025, 41204030).

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Authors and Affiliations

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

    Xiaohong Zhang & Xiyang He

  2. Collaborative Innovation Center for Geospatial Technology, Wuhan University, 129 Luoyu Road, Wuhan, 430079, People’s Republic of China

    Xiaohong Zhang & Xiyang He

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  1. Xiaohong Zhang
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Correspondence to Xiaohong Zhang.

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Zhang, X., He, X. Performance analysis of triple-frequency ambiguity resolution with BeiDou observations. GPS Solut 20, 269–281 (2016). https://doi.org/10.1007/s10291-014-0434-0

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  • DOI: https://doi.org/10.1007/s10291-014-0434-0

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