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Refinement of GLONASS Phase Inter-Frequency Biases and Their Applications on Single-Epoch Ambiguity Fixing

Published online by Cambridge University Press:  08 November 2019

Yumiao Tian
Yumiao Tian*
Affiliation:
(Faculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, Sichuan611756, China) (State-Province Joint Engineering Laboratory of Spatial Information Technology for High-Speed Railway Safety, Chengdu, Sichuan611756, China)
*
(E-mail: tymr@163.com)
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Abstract

Carrier-phase inter-frequency bias (IFB) exists in GLObal NAvigation Satellite System (GLONASS) baselines when receivers of different brands are used. Those biases need to be calibrated in GLONASS data processing to derive precise fixed solutions. Consequently, the accuracy of the IFB calibration affects ambiguity fixing, and low-accuracy IFB values in the calibration will degrade the positioning results. Hitherto, at least two IFB rate value sets for various receiver brands have been given in previous studies. Some of the differences between the value sets exceed 2 mm/FN (frequency number) and the effects of those differences on ambiguity fixing have not been investigated until now. This study showed that ambiguity fixing in GLONASS single-epoch positioning is very sensitive to the accuracy of the IFB rates. Even errors of millimetres can seriously lower the empirical success rate. The short baselines from the Global Navigation Satellite System (GNSS, which includes Russian GLONASS) networks of the International GNSS Service and the Regional Reference Frame Sub-Commission for Europe were employed to obtain more accurate IFB rate estimates with the proposed two-dimensional particle filtering. Afterwards, the IFB estimates were statistically refined by the least-squares method. Experiments showed that when the refined IFB rates were used in the IFB calibration, the empirical success rates of ambiguity fixing in GLONASS single-epoch positioning were largely improved compared with the values given before, improvements such as 20·6% for a Septentrio and Leica receiver combination.

Keywords

GLONASSPhase IFB RateAmbiguity FixingSingle-Epoch Positioning
Type
Research Article
Information
The Journal of Navigation , Volume 73 , Issue 3 , May 2020 , pp. 530 - 546
Copyright
Copyright © The Royal Institute of Navigation 2019

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References

REFERENCES

Al-Shaery, A., Zhang, S. and Rizos, C. (2013). An enhanced calibration method of GLONASS inter-channel bias for GNSS RTK. GPS Solutions, 17(2), 165–173.CrossRefGoogle Scholar
Arulampalam, M. S., Maskell, S., Gordon, N. and Clapp, T. (2002). A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking. IEEE Transactions on Signal Processing, 50(2), 174–188.CrossRefGoogle Scholar
Banville, S., Collins, P. and Lahaye, F. (2013). GLONASS ambiguity resolution of mixed receiver types without external calibration. GPS Solutions, 17(3), 275–282.CrossRefGoogle Scholar
Doucet, A., Godsill, S. and Andrieu, C. (2000). On sequential Monte Carlo sampling methods for Bayesian filtering. Statistics and Computing, 10(3), 197–208.CrossRefGoogle Scholar
Euler, H. and Schaffrin, B. (1991). On a Measure of Discernibility Between Different Ambiguity Solutions in the Static-Kinematic GPS-Mode. Proceedings of the International Symposium on Kinematic Systems in Geodesy, Surveying, and Remote Sensing, 285–295. Springer, New York.CrossRefGoogle Scholar
Jiang, W., An, X., Chen, H. and Zhao, W. (2017). A new method for GLONASS inter-frequency bias estimation based on long baselines. GPS Solutions, 21(4), 1765–1779.CrossRefGoogle Scholar
Leick, A. (1998). GLONASS satellite surveying. Journal of Surveying Engineering, 124(2), 91–99.CrossRefGoogle Scholar
Liu, Y., Ge, M., Shi, C., Lou, Y., Wickert, J. and Schuh, H. (2016). Improving integer ambiguity resolution for GLONASS precise orbit determination. Journal of Geodesy, 90(8), 715–726.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
Paziewski, J. and Wielgosz, P. (2014). Assessment of GPS + Galileo and multi-frequency Galileo single-epoch precise positioning with network corrections. GPS Solutions, 18, 571–579.CrossRefGoogle Scholar
Pratt, M., Burke, B. and Misra, P. (1998). Single-Epoch Integer Ambiguity Resolution With GPS-GLONASS L1-L2 Data. Proceedings of ION GPS, Institute of Navigation, Nashville, TN, September, 389–398.Google Scholar
Sleewagen, J., Simsky, A., Wilde, W. D., Boon, F. and Willems, T. (2012). Demystifying GLONASS inter-frequency carrier phase biases. Inside GNSS, 7(3), 57–61.Google Scholar
Teunissen, P. J. (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
Tian, Y., Ge, M. and Neitzel, F. (2015). Particle filter-based estimation of inter-frequency phase bias for real-time GLONASS integer ambiguity resolution. Journal of Geodesy, 89(11), 1145–1158.CrossRefGoogle Scholar
Tian, Y., Ge, M., Neitzel, F., Yuan, L., Huang, D., Zhou, L. and Yan, H. (2018a). Improvements on the particle-filter-based GLONASS phase inter-frequency bias estimation approach, GPS Solutions, 22(3). doi:10.1007/s10291-018-0735-9CrossRefGoogle Scholar
Tian, Y., Liu, Z., Ge, M. and Neitzel, F. (2018b). Determining inter-system bias of GNSS signals with narrowly spaced frequencies for GNSS positioning. Journal of Geodesy, 92(8), 873–887.CrossRefGoogle Scholar
Verhagen, S. and Teunissen, P. (2013). The ratio test for future GNSS ambiguity resolution. GPS Solutiions, 17, 535–548.CrossRefGoogle Scholar
Wang, J. (2000). An approach to GLONASS ambiguity resolution. Journal of Geodesy, 74(5), 421–430.CrossRefGoogle Scholar
Wanninger, L. (2012). Carrier-phase inter-frequency biases of GLONASS receivers. Journal of Geodesy, 86(2), 139–148.CrossRefGoogle Scholar
Zinoviev, A. E., Veitsel, A. V. and Dolgin, D. A. (2009). Renovated GLONASS: Improved Performances of GNSS Receivers. Proceedings of ION GNSS 2009, 3271–3277.Google Scholar