Skip to main content
Log in

Low-cost, high-precision, single-frequency GPS–BDS RTK positioning

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

Abstract

The integration of the Chinese BDS with other systems, such as the American GPS, makes precise RTK positioning possible with low-cost receivers. We investigate the performance of low-cost ublox receivers, which cost a few hundred USDs, while making use of L1 GPS + B1 BDS data in Dunedin, New Zealand. Comparisons will be made to L1 + L2 GPS and survey-grade receivers which cost several thousand USDs. The least-squares variance component estimation procedure is used to determine the code and phase variances and covariances of the receivers and thus formulate a realistic stochastic model. Otherwise, the ambiguity resolution and hence positioning performance would deteriorate. For the same reasons, the existence of receiver-induced time correlation is also investigated. The low-cost RTK performance is then evaluated by formal and empirical ambiguity success rates and positioning precisions. It will be shown that the code and phase precision of the low-cost receivers can be significantly improved by using survey-grade antennas, since they have better signal reception and multipath suppression abilities in comparison with low-cost patch antennas. It will also be demonstrated that the low-cost receivers can achieve competitive ambiguity resolution and positioning performance to survey-grade dual-frequency GPS receivers.

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
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Amiri-Simkooei AR, Tiberius CCJM (2007) Assessing receiver noise using GPS short baseline time series. GPS Solut 11(1):21–35

    Article  Google Scholar 

  • Amiri-Simkooei AR, Teunissen PJG, Tiberius CCJM (2009) Application of least-squares variance component estimation to GPS observables. J Surv Eng 135(4):149–160

    Article  Google Scholar 

  • Amiri-Simkooei AR, Jazaeri S, Zangeneh-Nejad F, Asgari J (2016) Role of stochastic model on GPS integer ambiguity resolution success rate. GPS Solut 20(1):51–61

    Article  Google Scholar 

  • Axelrad P, Larson K, Jones B (2005) Use of the correct satellite repeat period to characterize and reduce site-specific multipath errors. In: Proceedings of the ION ITM 2005, Institute of Navigation, Long Beach, CA, September 13–16, pp 2638–2648

  • Bona P (2000) Precision, cross correlation, and time correlation of GPS phase and code observations. GPS Solut 4(2):3–13

    Article  Google Scholar 

  • Bona P, Tiberius CCJM (2000) An experimental assessment of observation cross-correlation in dual frequency receivers. In: Proceedings of the ION GPS 2000, Institute of Navigation, Salt Lake City, UT, September 19–22, pp 792–798

  • Euler HJ, Goad C (1991) On optimal filtering of GPS dual frequency observations without using orbit information. Bull Geod 65(2):130–143

    Article  Google Scholar 

  • He H, Li J, Yang Y, Xu J, Guo H, Wang A (2014) Performance assessment of single- and dual-frequency BeiDou/GPS single-epoch kinematic positioning. GPS Solut 18(3):393–403. doi:10.1007/s10291-013-0339-3

    Article  Google Scholar 

  • Jiang Y, Yang S, Zhang G, Li G (2011) Coverage performance analysis on combined-GEO-IGSO satellite constellation. J Electron 28(2):228–234

    Google Scholar 

  • Li B (2016) Stochastic modeling of triple-frequency BeiDou signals: estimation, assessment and impact analysis. J Geod 90(7):593–610

    Article  Google Scholar 

  • Li B, Shen Y, Xu P (2008) Assessment of stochastic models for GPS measurements with different types of receivers. Chin Sci Bull 53(20):3219–3225

    Google Scholar 

  • Miller C, O’Keefe K, Gao Y (2012) Time correlation in GNSS positioning over short baselines. J Surv Eng 138(1):17–24

    Article  Google Scholar 

  • Mongredien C, Doyen JP, Strom M, Ammann D (2016) Centimeter-level positioning for UAVs and other mass-market applications. In: Proceedings of the ION GNSS 2016, Institute of Navigation, Portland, Oregon, September 12–16, pp 1441–1454

  • 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. doi:10.1007/s10291-012-0272-x

    Article  Google Scholar 

  • Nadarajah N, Teunissen PJG, Raziq N (2013) BeiDou inter-satellite-type bias evaluation and calibration for mixed receiver attitude determination. Sensors 13(7):9435–9463

    Article  Google Scholar 

  • Odijk D, Teunissen PJG (2008) ADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models. J Geod 82:473–492

    Article  Google Scholar 

  • Odolinski R, Teunissen PJG (2016) Single-frequency, dual-GNSS versus dual-frequency, single-GNSS: a low-cost and high-grade receivers GPS–BDS RTK analysis. J Geod. doi:10.1007/s00190-016-0921-x

    Google Scholar 

  • Odolinski R, Teunissen PJG, Odijk D (2015) Combined BDS, Galileo, QZSS and GPS single-frequency RTK. GPS Solut 19(1):151–163. doi:10.1007/s10291-014-0376-6

    Article  Google Scholar 

  • Pesyna KM, Heath R, Humphreys TE (2014) Centimeter positioning with a smartphone-quality GNSS antenna. In: Proceedings of the ION GNSS 2014, Institute of Navigation, Tampa, FL, September 8–12, pp 1568–1577

  • Ray J, Cannon M (1999) Characterization of GPS carrier phase multipath. In: Proceedings of the ION NTM 1999, San Diego, CA, January 25–27, pp 343–352

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

    Article  Google Scholar 

  • Takasu T, Yasuda A (2008) Evaluation of RTK-GPS performance with low-cost single-frequency GPS receivers. In: International symposium on GPS/GNSS 2008, Odaiba, Tokyo, November 11–14, pp 852–861

  • Takasu T, Yasuda A (2009) Development of the low-cost RTK-GPS receiver with an open source program package RTKLIB. In: International Symposium on GPS/GNSS 2009, Jeju, Korea, November 4–6, 1–6

  • Teunissen PJG (1988) Towards a least-squares framework for adjusting and testing of both functional and stochastic model. Internal research memo Geodetic Computing Centre, Delft Reprint of original 1988 report (2004), No. 26

  • Teunissen PJG (1990) An integrity and quality control procedure for use in multi sensor integration. In: Proceedings of the 3rd international technical meeting of the satellite division of the institute of navigation (ION GPS 1990), Colorado Spring, CO, pp 513–522, also published in: Volume VII of the GPS Red Book: Integrated systems, ION Navigation, 2012

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

    Article  Google Scholar 

  • Teunissen PJG (1997) A canonical theory for short GPS baselines. Part I: the baseline precision, part II: the ambiguity precision and correlation, part III: the geometry of the ambiguity search space, part IV: precision versus reliability. J Geod 71(6):320–336, 71(7):389–401, 71(8):486–501, 71(9):513–525

  • Teunissen PJG (1998) Success probability of integer GPS ambiguity rounding and bootstrapping. J Geod 72(10):606–612

    Article  Google Scholar 

  • Teunissen PJG (1999) An optimality property of the integer least-squares estimator. J Geod 73(11):587–593

    Article  Google Scholar 

  • Teunissen PJG, Amiri-Simkooei AR (2008) Least-squares variance component estimation. J Geod 82(2):65–82

    Article  Google Scholar 

  • Teunissen PJG, Tiberius CCJM, Jonkman JF, de Jong CD (1998) Consequences of the cross-correlation measurement technique. In: Proceedings of GNSS98, 2nd European symposium, Toulouse France, October 20–23, pp 1–6

  • Teunissen PJG, Odolinski R, Odijk D (2014) Instantaneous BeiDou + GPS RTK positioning with high cut-off elevation angles. J Geod 88(4):335–350

    Article  Google Scholar 

  • Verhagen S (2005) On the reliability of integer ambiguity resolution. Navigation 52(2):99–110

    Article  Google Scholar 

  • Verhagen S, Teunissen PJG, Odijk D (2012) The future of single-frequency integer ambiguity resolution. In: Sneeuw N et al (ed) VII Hotine-Marussi symposium on mathematical geodesy, International Association of Geodesy Symposia 137, doi:10.1007/978-3-642-22078-4_5

  • Wang G, de Jong K, Zhao Q, Hu Z, Guo J (2015a) Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solut 19(1):129–139. doi:10.1007/s10291-014-0374-8

    Article  Google Scholar 

  • Wang M, Chai H, Liu J, Zeng A (2015b) BDS relative static positioning over long baseline improved by GEO multipath mitigation. Adv Space Res 57(3):782–793. doi:10.1016/j.asr.2015.11.032

    Article  Google Scholar 

  • Wisniewski B, Bruniecki K, Moszynski M (2013) Evaluation of RTKLIB’s positioning accuracy using low-cost GNSS receiver and ASG-EUPOS. Int J Mar Navig Saf Sea Transp 7(1):79–85

    Article  Google Scholar 

  • Zaminpardaz S, Teunissen PJG, Nadarajah N (2016) GLONASS CDMA L3 ambiguity resolution and positioning. GPS Solut. doi:10.1007/s10291-016-0544-y

    Google Scholar 

Download references

Acknowledgements

Ryan Cambridge and Callum Johns at School of Surveying, University of Otago, collected the ublox data. The second author is the recipient of an Australian Research Council (ARC) Federation Fellowship (Project Number FF0883188). All this support is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Robert Odolinski.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Odolinski, R., Teunissen, P.J.G. Low-cost, high-precision, single-frequency GPS–BDS RTK positioning. GPS Solut 21, 1315–1330 (2017). https://doi.org/10.1007/s10291-017-0613-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10291-017-0613-x

Keywords

Navigation