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Ionosphere-Free Combinations for Triple-Frequency GNSS with Application in Rapid Ambiguity Resolution Over Medium-Long Baselines

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China Satellite Navigation Conference (CSNC) 2012 Proceedings

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 160))

Abstract

Aiming at rapid precise positioning by triple-frequency Global Navigation Satellite System (GNSS) over medium-long baselines, the application of triple-frequency ionosphere-free combinations in ambiguity resolution and precise positioning is analyzed. The analytical expression of linear coefficients of them is deduced, and the influences of various errors on ambiguity resolution and precise positioning are evaluated. Considering that the wavelength of optimal ionosphere-free combinations is too small, a method for decomposing the ambiguity of triple-frequency ionosphere-free combinations is presented, and the formula to calculate the virtual wavelength of them is given. In addition, an algorithm for narrow-lane ambiguity resolution is proposed, which is immune to systematic errors. It is proved that the resolutions of narrow-lane ambiguity by this proposed method are equal, with any wide-lane combinations that the sum of linear coefficients of them is equal to zero.

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References

  1. Forssell, B., Martin-Neira, M., & Harris, R. (1997). Carrier phase ambiguity resolution in GNSS-2. Proceedings of ION GPS-97, 16–19 September 1997, Kansas City (pp. 1727–1736).

    Google Scholar 

  2. Vollath, U., Birnbach, S., & Landau, H. (1998). Analysis of three carrier ambiguity resolution (TCAR) technique for precise relative positioning in GNSS-2. Proceedings of ION GPS 1998 (pp. 417–426).

    Google Scholar 

  3. Feng, Y. (2008). GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. Journal of Geodesy, 82, 847–862.

    Article  Google Scholar 

  4. Todd, R., & El-Sheimy, N. (2007). Optimal linear combinations of triple frequency carrier phase data from future global navigation satellite systems. GPS Solutions, 11, 11–19.

    Google Scholar 

  5. Wu, Y. (2005). Theory and application on multi-frequency data processing of GNSS 2. Wuhan: Wuhan University.

    Google Scholar 

  6. Li, B. (2010). Theory and method for parameter estimation for mixed integer GNSS function and stochastic models. Shanghai: Tongji University.

    Google Scholar 

  7. Li, J. (2011). Research on the algorithms of GNSS triple frequency precise positioning. Zhengzhou: Information Engineering University.

    Google Scholar 

  8. Hatch, R., Jung, J., Enge, P., & Pervan, B. (2000). Civilian GPS: the benefits of three frequencies. GPS Solutions, 3(4), 1–9.

    Article  Google Scholar 

  9. Teunissen, P. J. G., Joosten, P., & Jonkman, N. F. (2000). Evaluation of long range GNSS ambiguity resolution. Proceedings of the 8th European CGSIC IISC Meeting, 2–3 December, 1999, Prague, Czech Republic (pp. 171–177).

    Google Scholar 

  10. Jonkman, N. F., Teunissen, P. J. G., Joosten, P., & Odijk, D. (1999). GNSS long baseline ambiguity resolution: impact of a third navigation frequency. Accepted for publication in IAG Proceedings of IUGG 22nd General Assembly, 19–30 July, 1999, Birmingham, UK.

    Google Scholar 

  11. Teunissen, P. J. G., & Jonkman, N. F. (2001). Will geometry-free full ambiguity resolution be possible at all for long baselines. Proceedings of ION-NTM 2001, 22–24 January, 2001, Long Beach, CA (pp. 271–280).

    Google Scholar 

  12. Odijk, D., Teunissen, P. J. G., & Tiberius, C. C. J. M. (2002). Triple-frequency ionosphere-free phase combinations for ambiguity resolution. Proceedings of the European Navigation Conference ENC-GNSS 2002, Copenhagen, Denmark, 27–30 May 2002 CD ROM.

    Google Scholar 

  13. Dennis, O. (2003). Ionosphere-free phase combinations for modernized GPS. Journal of Surveying Engineering, 129(4), 165–173.

    Article  Google Scholar 

  14. Han, S., & Rizos, C. (1999). The impact of two additional civilian GPS frequencies on ambiguity resolution strategies. Proceedings of ION Annual Technical Meeting, Cambridge, MA, 28–30 June, 1999 (pp. 315–321).

    Google Scholar 

  15. Zhang, W. (2005). Triple frequency cascading ambiguity resolution for modernized GPS and Galileo. UCGE Reports, Number 20228, July, 2005, URL: http://www.geomatics.ucalgary.ca/links/GradTheses.html, pp. 81–82.

  16. Hatch, R. (2006). A new three-frequency, geometry-free technique for ambiguity resolution. Proceedings of ION GNSS 2006, 26–29 Sept, Fort Worth, TX (pp. 309–316).

    Google Scholar 

  17. Li, B., Shen, Y., & Zhou, Z. (2009). A new method for medium and long range three frequency GNSS rapid ambiguity resolution. Acta Geodaetica et Cartographica Sinica, 38(4), 296–301.

    Google Scholar 

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

    Article  Google Scholar 

  19. Wang, Z., & Liu, J. (2003). Model of inter-frequency combinations of Galileo GNSS. Geomatics and Information Science of Wuhan University, 28(6), 723–727.

    Google Scholar 

  20. Simsky, A. (2006) Three’s the charm: Triple-frequency combinations in future GNSS. Inside GNSS, July/August, 38–41.

    Google Scholar 

  21. China Satellite Navigation Office. (2010). BeiDou (COMPASS) Navigation satellite system development. Munich Satellite Navigation Summit 2010, 9–11 March, 2010, Munich.

    Google Scholar 

  22. Blewitt, G. (1989). Carrier phase ambiguity resolution for the global positioning system applied to geodetic baselines up to 2000 km. Journal of Geophysical Research, 94(B8), 10187–10203.

    Google Scholar 

  23. 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. Journal of Geodesy, 82, 389–399.

    Article  Google Scholar 

  24. He, H. (2002). Precise kinematic GPS surveying and quality control. Zhengzhou: Information Engineering University.

    Google Scholar 

  25. Cocard, M., Bourgon, S., Kamali, O., & Collins, P. (2008). A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS. Journal of Geodesy, 82, 555–564.

    Article  Google Scholar 

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Acknowledgments

This project is sponsored by The Natural Science Foundation of China (41020144004, 41104022).

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Authors and Affiliations

  1. Institute of Surveying and Mapping, Information Engineering University, 450052, Zhengzhou, China

    Jinlong Li & Junyi Xu

  2. Xi’an Research Institute of Surveying and Mapping, 710054, Xi’an, China

    Yuanxi Yang

  3. Beijing Global Information Center of Application and Exploitation, 100094, Beijing, China

    Haibo He & Hairong Guo

Authors
  1. Jinlong Li
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  2. Yuanxi Yang
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  3. Junyi Xu
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  4. Haibo He
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  5. Hairong Guo
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Corresponding author

Correspondence to Jinlong Li .

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Editors and Affiliations

  1. , China Aerospace Sci. & Technology Corp., Chinese Academy of Sciences, Beijing, China, People's Republic

    Jiadong Sun

  2. GPS Engineering Res. Center, Wuhan University, Wuhan, 430079, China, People's Republic

    Jingnan Liu

  3. China Natl. Admin. of GNSS & Application, Beijing, China, People's Republic

    Yuanxi Yang

  4. Dengzhuang South Road 9, Beijing, 100094, China, People's Republic

    Shiwei Fan

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© 2012 Springer-Verlag Berlin Heidelberg

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Li, J., Yang, Y., Xu, J., He, H., Guo, H. (2012). Ionosphere-Free Combinations for Triple-Frequency GNSS with Application in Rapid Ambiguity Resolution Over Medium-Long Baselines. In: Sun, J., Liu, J., Yang, Y., Fan, S. (eds) China Satellite Navigation Conference (CSNC) 2012 Proceedings. Lecture Notes in Electrical Engineering, vol 160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29175-3_16

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  • DOI: https://doi.org/10.1007/978-3-642-29175-3_16

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29174-6

  • Online ISBN: 978-3-642-29175-3

  • eBook Packages: EngineeringEngineering (R0)

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