Skip to main content
Log in

Real-time carrier phase multipath detection based on dual-frequency C/N0 data

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

Abstract

Since carrier phase multipath cannot be easily captured or mitigated, especially in real-time and kinematic applications, it is necessary to assess the multipath significance. We propose a real-time multipath detection method using dual-frequency carrier-to-noise-power-density ratio (C/N0). The proposed method takes full account of the relationship between the multipath and C/N0. Specifically, when the multipath effects are significant, the C/N0 behaviors not only deviate from the nominal values, but also differ in frequencies. Therefore, a combination test consisting of two statistics is developed. One is based on the C/N0 and the other is based on the differenced C/N0 between frequencies (∆C/N0). In addition, as an indispensable component of the multipath detection, a procedure for modeling the nominal C/N0 and ∆C/N0 functions is proposed. This procedure is based on a rigorous evaluation in terms of statistical properties. To validate the effectiveness of the proposed method, both static and kinematic experiments were carried out under environments with distinct levels of reflective and diffractive multipath. The results show that this method can effectively detect the multipath significance, and the two statistics are both indispensable. In addition, the modeling procedure improves the reliability of multipath detection with the minimal detectable multipath as small as 0.05 cycles, providing a great potential in high-precision applications.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  • Axelrad P, Comp C, Macdoran P (1996) SNR-based multipath error correction for GPS differential phase. IEEE Trans Aerosp Electron Syst 32(2):650–660

    Article  Google Scholar 

  • Azarbad M, Mosavi M (2014) A new method to mitigate multipath error in single-frequency GPS receiver with wavelet transform. GPS Solut 18(2):189–198

    Article  Google Scholar 

  • Bétaille D, Cross P, Euler H (2006) Assessment and improvement of the capabilities of a window correlator to model GPS multipath phase errors. IEEE Trans Aerosp Electron Syst 42(2):705–717

    Article  Google Scholar 

  • Bilich A, Larson K (2007) Mapping the GPS multipath environment using the signal-to-noise ratio (SNR). Radio Sci 42(6)

  • Bilich A, Larson K, Axelrad P (2008) Modeling GPS phase multipath with SNR: Case study from the Salar de Uyuni, Boliva. J Geophys Res Solid Earth 113:B04401

    Article  Google Scholar 

  • Bock Y, Nikolaidis R, Jonge P, Bevis M (2000) Instantaneous geodetic positioning at medium distances with the global positioning system. J Geophys Res Solid Earth 105(B12):28223–28253

    Article  Google Scholar 

  • Braasch M (2017) Multipath. In: Springer handbook of global navigation satellite systems. Springer, Berlin, pp 443–468

    Chapter  Google Scholar 

  • Brunner F, Hartinger H, Troyer L (1999) GPS signal diffraction modelling: the stochastic SIGMA-∆ model. J Geod 73(5):259–267

    Article  Google Scholar 

  • Byun S, Hajj G, Young L (2002) Development and application of GPS signal multipath simulator. Radio Sci 37(6)

  • Cai C, He C, Santerre R, Pan L, Cui X, Zhu J (2016) A comparative analysis of measurement noise and multipath for four constellations: GPS, BeiDou, GLONASS and Galileo. Surv Rev 48(349):287–295

    Article  Google Scholar 

  • Choi K, Bilich A, Larson K, Axelrad P (2004) Modified sidereal filtering: Implications for high-rate GPS positioning. Geophys Res Lett 31(22)

  • Comp C, Axelrad P (1998) Adaptive SNR-based carrier phase multipath mitigation technique. IEEE Trans Aerosp Electron Syst 34(1):264–276

    Article  Google Scholar 

  • de Bakker P, Tiberius C, van der Marel H, van Bree R (2012) Short and zero baseline analysis of GPS L1 C/A, L5Q, GIOVE E1B, and E5aQ signals. GPS Solut 16(1):53–64

    Article  Google Scholar 

  • Dong D, Wang M, Chen W, Zeng Z, Song L, Zhang Q, Cai M, Cheng Y, Lv J (2016) Mitigation of multipath effect in GNSS short baseline positioning by the multipath hemispherical map. J Geod 90(3):255–262

    Article  Google Scholar 

  • Dow J, Neilan R, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geod 83(3–4):191–198

    Article  Google Scholar 

  • Fuhrmann T, Luo X, Knöpfler A, Mayer M (2015) Generating statistically robust multipath stacking maps using congruent cells. GPS Solut 19(1):83–92

    Article  Google Scholar 

  • Genrich J, Bock Y (1992) Rapid resolution of crustal motion at short ranges with the global positioning system. J Geophys Res Solid Earth 97(B3):3261–3269

    Article  Google Scholar 

  • Groves P, Jiang Z, Rudi M, Strode P (2013) A portfolio approach to NLOS and multipath mitigation in dense urban areas. Proc. ION GNSS 2013, Institute of Navigation, Nashville, Tennessee, USA, September 16–20, 3231–3247

  • Hartinger H, Brunner F (1999) Variances of GPS phase observations: the SIGMA-ɛ model. GPS Solut 2(4):35–43

    Article  Google Scholar 

  • Hofmann-Wellenhof B, Lichtenegger H, Wasle E (2007) GNSS-global navigation satellite systems: GPS, GLONASS, Galileo, and more. Springer, New York

    Google Scholar 

  • Koch K (1999) Parameter estimation and hypothesis testing in linear models. Springer, Berlin

    Book  Google Scholar 

  • Lau L, Cross P (2007a) Development and testing of a new ray-tracing approach to GNSS carrier-phase multipath modelling. J Geod 81(11):713–732

    Article  Google Scholar 

  • Lau L, Cross P (2007b) Investigations into phase multipath mitigation techniques for high precision positioning in difficult environments. J Navig 60(3):457–482

    Article  Google Scholar 

  • Lehmann E, Romano J (2006) Testing statistical hypotheses. Springer, Berlin

    Google Scholar 

  • Leick A, Rapoport L, Tatarnikov D (2015) GPS satellite surveying. Wiley, New York

    Book  Google Scholar 

  • Li B, Zhang Z, Shen Y, Yang L (2018) A procedure for the significance testing of unmodeled errors in GNSS observations. J Geod 92(10):1171–1186

    Article  Google Scholar 

  • Luo X, Mayer M, Heck B, Awange J (2014) A realistic and easy-to-implement weighting model for GPS phase observations. IEEE Trans Geosci Remote Sens 52(10):6110–6118

    Article  Google Scholar 

  • Moore M, Watson C, King M, McClusky S, Tregoning P (2014) Empirical modelling of site-specific errors in continuous GPS data. J Geod 88(9):887–900

    Article  Google Scholar 

  • Moradi R, Schuster W, Feng S, Jokinen A, Ochieng W (2014) The carrier-multipath observable: a new carrier-phase multipath mitigation technique. GPS Solut 19(1):73–82

    Article  Google Scholar 

  • Park K, Nerem R, Schenewerk M, Davis J (2004) Site-specific multipath characteristics of global IGS and CORS GPS sites. J Geod 77(12):799–803

    Article  Google Scholar 

  • Phan Q, Tan S, Mcloughlin I (2013) GPS multipath mitigation: a nonlinear regression approach. GPS Solut 17(3):371–380

    Google Scholar 

  • Ragheb A, Clarke P, Edwards S (2007) GPS sidereal filtering: coordinate- and carrier-phase-level strategies. J Geod 81(5):325–335

    Article  Google Scholar 

  • Rost C, Wanninger L (2009) Carrier phase multipath mitigation based on GNSS signal quality measurements. J Appl Geod 3(2):81–87

    Google Scholar 

  • Serrano L (2013) Carrier-phase multipath mitigation in RTK-based GNSS dual-antenna systems. Dissertation, University of New Brunswick

  • Souza E, Monico J (2004) Wavelet Shrinkage: High frequency multipath reduction from GPS relative positioning. GPS Solut 8(3):152–159

    Article  Google Scholar 

  • Strode P, Groves P (2016) GNSS multipath detection using three-frequency signal-to-noise measurements. GPS Solut 20(3):399–412

    Article  Google Scholar 

  • Tatarnikov D, Astakhov A (2014) Approaching millimeter accuracy of GNSS positioning in real time with large impedance ground plane antennas. Proc. ION ITM 2014, Institute of Navigation, San Diego, California, USA January 27–29, 844–848

  • Wang G, de Jong K, Zhao Q, Hu Z, Guo J (2015) Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solut 19(1):129–139

    Article  Google Scholar 

  • Wieser A, Brunner F (2000) An extended weight model for GPS phase observations. Earth Planets Space 52(10):777–782

    Article  Google Scholar 

  • Ye S, Chen D, Liu Y, Jiang P, Tang W, Xia P (2015) Carrier phase multipath mitigation for BeiDou navigation satellite system. GPS Solut 19(4):545–557

    Article  Google Scholar 

  • Zhang Z, Li B, Shen Y (2017) Comparison and analysis of unmodelled errors in GPS and BeiDou signals. Geod Geodyn 8(1):41–48

    Article  Google Scholar 

  • Zhang Z, Li B, Shen Y (2018a) Efficient approximation for a fully populated variance-covariance matrix in RTK positioning. J Surv Eng 144(4):04018005

    Article  Google Scholar 

  • Zhang Z, Li B, Shen Y, Gao Y, Wang M (2018b) Site-specific unmodeled error mitigation for GNSS positioning in urban environments using a real-time adaptive weighting model. Remote Sens 10(7):1157

    Article  Google Scholar 

  • Zheng D, Zhong P, Ding X, Chen W (2005) Filtering GPS time-series using a Vondrak filter and cross-validation. J Geod 79(6–7):363–369

    Article  Google Scholar 

  • Zhong P, Ding X, Zheng D, Chen W, Huang D (2008) Adaptive wavelet transform based on cross-validation method and its application to GPS multipath mitigation. GPS Solut 12(2):109–117

    Article  Google Scholar 

  • Zhong P, Ding X, Yuan L, Xu Y, Kwok K, Chen Y (2010) Sidereal filtering based on single differences for mitigating GPS multipath effects on short baselines. J Geod 84(2):145–158

    Article  Google Scholar 

Download references

Acknowledgements

This study is sponsored by the National Natural Science Foundation of China (41574023, 41622401, 41874030, and 41731069), the Scientific and Technological Innovation Plan from Shanghai Science and Technology Committee (18511101801) and the Fundamental Research Funds for the Central Universities. The first author acknowledges the support of the China Scholarship Council (CSC) for his visiting Ph.D. studies at the University of Calgary. The authors would like to acknowledge the editor and reviewers for the insightful and constructive comments, which improved the quality of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bofeng Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, Z., Li, B., Gao, Y. et al. Real-time carrier phase multipath detection based on dual-frequency C/N0 data. GPS Solut 23, 7 (2019). https://doi.org/10.1007/s10291-018-0799-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10291-018-0799-6

Keywords

Navigation