Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-10T13:48:47.023Z Has data issue: false hasContentIssue false
  • English
  • Français

Three-step Algorithm for Rapid Ambiguity Resolution between Reference Stations within Network RTK

Published online by Cambridge University Press:  13 June 2016

Wang Shengli ,
Deng Jian ,
Ou Jikun  and
Nie Wenfeng
Wang Shengli
Affiliation:
(Institute of Ocean Engineering, Shandong University of Science and Technology, Qingdao, 266590, China)
Deng Jian*
Affiliation:
(School of Computer and Information Engineering, Xiamen University of Technology, Xiamen, 361024, China)
Ou Jikun
Affiliation:
(Institute of Geodesy and Geophysics, Wuhan, 430077, China)
Nie Wenfeng
Affiliation:
(Institute of Space Sciences, Shandong University, Weihai, 264209, China)
*
(E-mail: dengjian163@126.com)
Get access Rights & Permissions [Opens in a new window]

Abstract

The correct ambiguity resolution between reference stations is the core issue of the whole Network Real-Time Kinematic (RTK) technology. Aimed at long fixed time and low reliability of the low elevation angle satellite ambiguity resolution during the initialisation of the Network RTK system, a three-step algorithm is proposed in this paper. Firstly, the double difference wide-lane ambiguities are fixed on the basis of the Melbourne-Wubbena (MW) method. Secondly, the double difference L1 carrier phase ambiguities of the high elevation angle satellites are fixed rapidly based on the ionosphere-free combination model. Thirdly, the corresponding ambiguities of the satellites with low elevation angles are solved with restrictions from the double difference tropospheric information, which is obtained from observations of the high elevation angle satellites. Based on this algorithm, an overall scheme of the ambiguity resolution during the initialisation process of the Network RTK system is designed. Results from Global Positioning System (GPS)/Globalnaya Navigatsionnaya Sputnikovaya Sistema (GLONASS) data demonstrate that the three-step algorithm can reduce the ill-posed problems of the observation model effectively. Moreover, the speed and accuracy performances of the ambiguity resolution for the low elevation angle satellites using the proposed algorithm are better than those of the conventional method.

Keywords

Ambiguity resolutionNetwork RTKA priori tropospheric information
Type
Research Article
Information
The Journal of Navigation , Volume 69 , Issue 6 , November 2016 , pp. 1310 - 1324
Copyright
Copyright © The Royal Institute of Navigation 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Alves, P., Lachapelle, G., Cannon, M.E., Park, J. and Park, P. (2002). Use of self-contained ionospheric modeling to enhance long baseline multiple reference station RTK positioning. Institute of Navigation Satellite Division technical meeting, 1–12.Google Scholar
Li, B.F., Shen, Y.Z., Feng, Y.M. and Gao, W.G. (2014). GNSS ambiguity resolution with controllable failure rate for long baseline network RTK. Journal of Geodesy, 88, 99–112.CrossRefGoogle Scholar
Deng, J. and Wang, S.L. (2015). Divisional ambiguity resolution for long-range reference stations in network RTK. Survey review, 47(343), 272–278.CrossRefGoogle Scholar
Gao, C.F., Zhao, Y. and Wang, D.J. (2005). The weight determination of the double difference observation in GPS carrier phase positioning. Science of Surveying and Mapping, 30(3), 28–32.Google Scholar
Gao, X.W., Liu, J.N. and Ge, M.R. (2002). An ambiguity searching method for network RTK baselines between base stations at single epoch. Acta Geodaetica et Cartographica Sinica, 31(4), 305–309.Google Scholar
He, H.B. and Yang, Y.X. (2001). Real-time Estimation of a Prior Variance-covariance for GPS Observations. Acta Geodaetica et Cartographica Sinica, 30(1), 42–47.Google Scholar
Hofmann-Wellenhof, B., Lichtenegger, H. and Collins, J. (2013). Global positioning system: theory and practice. Springer Science & Business Media.Google Scholar
Hu, G., Abbey, D.A., Castleden, N., Featherstone, W.E., Earls, C., Ovstedal, O. and Weihing, D. (2005). An approach for instantaneous ambiguity resolution for medium-to long-range multiple reference station networks. GPS Solutions, 9(1), 1–11.CrossRefGoogle Scholar
Odijk, D. and Teunissen, P.J.G. (2010). Improving the speed of CORS Network RTK ambiguity resolution. Position Location and Navigation Symposium (PLANS), IEEE/ION, 79–84.CrossRefGoogle Scholar
Pan, S.G., Shen, X.F., and Wang, Q. (2011). Approach on star structure multi-baseline ambiguity resolution for GPS network RTK. Journal of Chinese Inertial Technology, 19(4), 452–456.Google Scholar
Parkins, A. (2011). Increasing GNSS RTK availability with a new single-epoch batch partial ambiguity resolution algorithm. GPS Solutions, 15, 391–402.CrossRefGoogle Scholar
Shen, X.F., Gao, C.F. and Pan, S.G. (2012). Algorithm for network RTK(VRS) based on star structure. Acta Geodaetica et Cartographica Sinica, 41(1), 33–40.Google Scholar
Takasu, T. and Yasuda, A. (2010). Kalman-filter-based integer ambiguity resolution strategy for long-baseline RTK with ionosphere and troposphere estimation. Proceeding of the Institute of Navigation National Technical Meeting (ION GNSS 2010), 161–171.Google Scholar
Tang, W.M., Liu, J.N., Shi, C. and Lou, Y.D. (2007). Three steps method to determine double difference ambiguities resolution of network RTK reference station. Geomatics and Information Science of Wuhan University, 32(4), 305–308.Google Scholar
Teunissen, P.J.G. (1995). The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70(1–2), 65–82.CrossRefGoogle Scholar
Vollath, U. (2004). The factorized multi-carrier ambiguity resolution (FAMCAR) approach for efficient carrier-phase ambiguity estimation. Proceedings of the 17th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2004), 2499–2508.Google Scholar
Xu, G. (2007). GPS: theory, algorithms and applications. Springer Science & Business Media.Google Scholar
Zhou, L.T., Huang, D.F., Yuan, L.G. and Li, C.G. (2007). A Kalman Filtering Algorithm for Online Integer Ambiguity Resolution in Reference Station Network. Acta Geodaetica et Cartographica Sinica, 36(1), 37–42.Google Scholar
Zhu, H.Z., Liu, J.N., Tang, W.M., and Gao, X.W. (2012). The algorithm of single-epoch integer ambiguity resolution between long-range Network RTK base stations. Acta Geodaetica et Cartographica Sinica, 41(3), 359–365.Google Scholar