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An Improved Geometry-free Three Carrier Ambiguity Resolution Method for the BeiDou Navigation Satellite System

Published online by Cambridge University Press:  04 April 2016

Xing Wang ,
Wenxiang Liu  and
Guangfu Sun
Xing Wang*
Affiliation:
(College of Electronic Science and Engineering, National University of Defense Technology No.109, Deya Rd., Changsha, Hunan, 410073, China)
Wenxiang Liu
Affiliation:
(College of Electronic Science and Engineering, National University of Defense Technology No.109, Deya Rd., Changsha, Hunan, 410073, China)
Guangfu Sun
Affiliation:
(College of Electronic Science and Engineering, National University of Defense Technology No.109, Deya Rd., Changsha, Hunan, 410073, China)
*
(E-mail: wangxing-1010@163.com)
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Abstract

BeiDou satellites transmit triple-frequency signals, which bring substantial benefits to carrier phase Ambiguity Resolution (AR). The traditional geometry-free model Three-Carrier Ambiguity Resolution (TCAR) method looks for a suitable combination of carrier phase and code-range observables by searching and comparing in the integer range, which limits the AR success probability. By analysing the error characteristics of the BeiDou triple-frequency observables, we introduce a new procedure to select the optimal combination of carrier phase and code observables to resolve the resolution of Extra-Wide-Lane (EWL) and Wide-Lane (WL) ambiguity. We also investigate a geometry-free and ionosphere-eliminated method for AR of the Medium-Lane (ML) and Narrow-Lane (NL) observables. In order to evaluate the performance of the improved TCAR method, real BeiDou triple-frequency observation data for different baseline cases were collected and processed epoch-by-epoch. The results show that the improved geometry-free TCAR method increases the single epoch AR success probability by up to 90% for short baseline and 80% for long baseline. The A perfect (100%) AR success probability can also be effortlessly achieved by averaging the float ambiguities over just tens of epochs.

Keywords

BeiDou navigation satellite systemGeometry-free modelThree carrier ambiguity resolutionGeometry-free and ionosphere-eliminated
Type
Research Article
Information
The Journal of Navigation , Volume 69 , Issue 6 , November 2016 , pp. 1393 - 1408
Copyright
Copyright © The Royal Institute of Navigation 2016 

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References

REFERENCES

De Jonge, P. J., Teunissen, P. J. G., Jonkman, N. F. and Joosten, P. (2000). The distributional dependence of the range on triple frequency GPS ambiguity resolution. In: Proceedings of ION-NTM 2000, 26–28 January, Anaheim, CA, pp. 605–612.Google Scholar
Feng, Y. and Rizos, C. (2005). Three carrier approaches for future global, regional and local GNSS positioning services: concepts and performance perspectives. In: Proceedings of ION-GNSS 2005, September 13–16, Long Beach, CA, pp. 2277–2287.Google Scholar
Feng, Y., Rizos, C. and Higgins, M. (2007). Multiple carrier ambiguity resolutions and performance benefits for RTK and PPP in regional areas. In: Proceedings of ION-GNSS 2007, September 25–28, Fort Worth, TX, pp. 668–678.Google Scholar
Feng, Y. (2008). GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. Journal of Geodesy, 82(12), 847–862.Google Scholar
Feng, Y. and Li, B. (2008). A benefit of multiple carrier GNSS signals: Regional scale network-based RTK with doubled inter-station distances. Journal of Spatial Science, 53(2), 135–147.Google Scholar
Feng, Y. and Li, B. (2009). Three carrier ambiguity resolutions: generalised problems, models and solutions. Journal of Global Positioning Systems, 8(2), 115–123.Google Scholar
Feng, Y. and Rizos, C. (2009). Network-based geometry-free three carrier ambiguity resolution and phase bias calibration. GPS Solutions, 13(1), 43–56.CrossRefGoogle Scholar
Forssell, B., Martin-Neira, M. and Harrisz, R.A. (1997). Carrier phase ambiguity resolution in GNSS-2. In: Proceedings of ION GPS-97, 16–19 September 1997, Kansas City, pp.1727–1736.Google Scholar
Hatch, R., Jung, J., Enge, P. and Pervan, B. (2000). Civilian GPS: the benefits of three frequencies. GPS Solutions, 3(4), 1–9.CrossRefGoogle Scholar
Jung, J., Enge, P. and Pervan, B. (2000). Optimization of cascade integer resolution with three civil GPS frequencies. In: Proceedings of the ION GPS-2000, Institute of Navigation, Salt Lake City, UT, pp. 2191–2200.Google Scholar
Li, B. (2008). Generation of third code and phase signals based on dual-frequency GPS measurements. In: ION GNSS 2008, 16–19 September 2008, Savannah, GA, USA, pp. 2820–2830.Google Scholar
Li, B., Feng, Y. and Shen, Y. (2010). Three carrier ambiguity resolution: distance-independent performance demonstrated using semi-generated triple frequency GPS signals. GPS Solutions, 14(2), 177–184.Google Scholar
Li, X., Zhang, X. and Ge, M. (2011). Regional reference network augmented precise point positioning for instantaneous ambiguity resolution. Journal of Geodesy, 85, 151–158.Google Scholar
Li, X., Ge, M., Zhang, H., Nischan, T. and Wickert, J. (2013a). The GFZ real-time GNSS precise positioning service system and its adaption for COMPASS. Advances in Space Research, 51, 1008–1018.Google Scholar
Li, X., Ge, M., Zhang, H. and Wickert, J. (2013b). A method for improving uncalibrated phase delay estimation and ambiguity-fixing in real-time precise point positioning. Journal of Geodesy., 87(5), 405–416.Google Scholar
Li, X., Zhang, X., Ren, X., Fritsche, M., Wickert, J. and Schuh, H. (2015a). Precise positioning with current multi-constellation Global Navigation Satellite Systems: GPS, GLONASS, Galileo and BeiDou. Scientific reports, 5, 8328.Google Scholar
Li, X., Ge, M., Dai, X., Ren, X., Fritsche, M., Wickert, J. and Schuh, H. (2015b). Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo. Journal of Geodesy., 89(6), 607–635.Google Scholar
Shi, C., Zhao, Q., Hu, Z. and Liu, J. (2013). Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites. GPS Solutions, 17(1), 103–119.Google Scholar
Tang, W., Deng, C., Shi, C. and Liu, J. (2014). Triple-frequency carrier ambiguity resolution for Beidou navigation satellite system. GPS Solutions, 18(3), 335–344.Google Scholar
Teunissen, P., Joosten, P. and Tiberius, C. (2002). A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution. In: Proceedings of the ION GPS, 24–27 September, Portland, OR, pp, 2799–2808.Google Scholar
Vollath, U., Birnbach, S. and Landau, H. (1998). Analysis of Three-Carrier Ambiguity Resolution Technique for Precise Relative Positioning in GNSS-2. In: Proceedings of ION GPS98, 15–18 September 1998, pp 417–426.Google Scholar
Wang, G., de Jong, K., Zhao, Q., Hu, Z. and Guo, J. (2015). Multipath analysis of code measurements for BeiDou geostationary satellites. GPS Solutions, 19(1), 129–139.Google Scholar
Wang, K. and Rothacher, M. (2013). Ambiguity resolution for triple frequency geometry-free and ionosphere-free combination tested with real data. Journal of Geodesy., 87(6), 539–553.Google Scholar
Yang, Y. Li, J., Xu, J., Tang, J., Guo, H. and He, H. (2011). Contribution of the Compass satellite navigation system to global PNT users. Chinese Science, 56, 2813–2819.Google Scholar
Zhao, Q., Dai, Z., Hu, Z., Sun, B., Shi, C. and Liu, J. (2015). Three-carrier ambiguity resolution using the modified TCAR method. GPS Solutions, 19(4), 589–599.CrossRefGoogle Scholar
Zhang, X. and He, X. (2015). Performance analysis of triple-frequency ambiguity resolution with BeiDou observations. GPS Solutions. doi:10.1007/s10291-014-0434-0.Google Scholar