Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-28T19:32:44.040Z Has data issue: false hasContentIssue false

Real-Time Estimation and Calibration of GLONASS Inter-Frequency Phase and Code Bias

Published online by Cambridge University Press:  26 December 2019

Zhixin Yang
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Hui Liu
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Yidong Lou*
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Bao Shu
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Longwei Xu
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Yifei Wang
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)
Baofei Xie
Affiliation:
(GNSS Research Center, Wuhan University, Wuhan, China)

Abstract

The frequency division multiple access (FDMA) strategy used in GLONASS causes inter-frequency phase bias (IFPB) and inter-frequency code bias (IFCB) between receivers from different manufacturers. The existence of IFPB and IFCB significantly increases the difficulties of fixing GLONASS ambiguity and limits the accuracy and reliability of GLONASS positioning. Moreover, the initial value of IFPB and IFCB may be unavailable or unreliable with the increasing number of receivers from different manufacturers in recent years. In this study, a real-time and reliable calibration algorithm of IFPB and IFCB based on multi-GNSS assistance is proposed by providing a fixed solution. Real-time IFPB rate and IFCB can be obtained using this algorithm without the initial IFPB and IFCB. The IFPB rate for all GLONASS satellites and IFCB for each GLONASS satellite are estimated due to different characteristics of IFPB and IFCB. IFPB calibration can be divided into constant and real-time IFPB calibrations to meet the different positioning requirements. Results show that constant IFPB rate has only 2 mm difference from the mean value of real-time IFPB rate. The IFPB rate and IFCB estimated by this algorithm have excellent stability, and the change in reference satellite cannot affect the results of IFPB rate and the stability of IFCB. The centimetre-level positioning results can be obtained using two calibration methods, and the positioning results with real-time calibration method are 10%–20% better than those with the constant calibration method. Under satellite-deprived environments, the improvements of multi-GNSS positioning accuracy with constant inter-frequency bias calibration gradually increase as the satellite cut-off elevation angle increases compared with GPS/BDS, which can reach up to 0·9 cm in the vertical direction.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2019

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

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), 165173.CrossRefGoogle Scholar
Banville, S., Collins, P. and Lahaye, F. (2013). GLONASS ambiguity resolution of mixed receiver types without external calibration. GPS Solutions, 17(3), 275282.10.1007/s10291-013-0319-7CrossRefGoogle Scholar
Jiang, W.P., An, X.D., Chen, H. and Zhao, W. (2017). A new method for GLONASS inter-frequency bias estimation based on long baselines. GPS Solutions, 21(4), 17651779.CrossRefGoogle Scholar
Karutin, S. and Inst, N. (2015). GLONASS Program Update. Proceedings of the 28th International Technical Meeting of the Satellite Division of the Institute of Navigation, Tampa, FL, 1207–1221.Google Scholar
Liu, Y.H., Li, X.H., Zhang, H.J., Zhu, F. and Ren, Y. (2016). Calculation and accuracy evaluation of TGD from IFB for BDS. GPS Solutions, 20(3), 461471.Google Scholar
Liu, Y.Y., Gu, S.F. and Li, Q.Q. (2018). Calibration of GLONASS inter-frequency code bias for PPP ambiguity resolution with heterogeneous rover receivers. Remote Sensing, 10(3), 19.Google Scholar
Pratt, M., Burke, B. and Misra, P. (1998). Single-epoch integer ambiguity resolution with GPS-GLONASS L1-L2 data. Proceedings of Ion Gps, Cambridge, MA, 11, 691–699.Google Scholar
Reussner, N. and Wanninger, L. (2011). GLONASS Inter-frequency Biases and Their Effects on RTK and PPP Carrier-phase Ambiguity Resolution. Proceedings of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, 712–716.Google Scholar
Revnivykh, S. (2011). GLONASS Status and Modernization. Proceedings of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, 839–854.Google Scholar
Shi, C., Yi, W.T., Song, W.W., Lou, Y.D., Yao, Y.B. and Zhang, R. (2013). GLONASS pseudorange inter-channel biases and their effects on combined GPS/GLONASS precise point positioning. GPS Solutions, 17(4), 439451.Google Scholar
Song, W.W., Yi, W.T., Lou, Y.D., Shi, C., Yao, Y.B., Liu, Y.Y., Mao, Y. and Xiang, Y. (2014). Impact of GLONASS pseudorange inter-channel biases on satellite clock corrections. GPS Solutions, 18(3), 323333.CrossRefGoogle Scholar
Takac, F. (2009). GLONASS inter-frequency biases and ambiguity resolution. Inside GNSS, 4(2), 2428.Google 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), 11451158.CrossRefGoogle Scholar
Tian, Y., Ge, M., Neitzel, F., Yuan, L., Huang, D., Zhou, L. and Yan, H. (2018). Improvements on the particle-filter-based GLONASS phase inter-frequency bias estimation approach. GPS Solutions, 22(3), 71.Google Scholar
Wang, J. (2000). An approach to GLONASS ambiguity resolution. Journal of Geodesy, 74(5), 421430.CrossRefGoogle Scholar
Wanninger, L. (2012). Carrier-phase inter-frequency biases of GLONASS receivers. Journal of Geodesy, 86(2), 139148.CrossRefGoogle Scholar
Wanninger, L. and Wallstab-Freitag, S. (2007). Combined Processing of GPS, GLONASS, and SBAS Code Phase and Carrier Phase Measurements. Proceedings of the 20th International Technical Meeting of the Satellite Division of the Institute of Navigation, Fort Worth, TX, 866–875.Google Scholar
Yamada, H., Takasu, T., Kubo, N. and Yasuda, A. (2010). Evaluation and Calibration of Receiver Inter-channel Biases for RTK-GPS/GLONASS. Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, 1580–1587.Google Scholar
Yao, Y.B., Hu, M.X., Xu, X.Y. and He, Y.D. (2017). GLONASS inter-frequency phase bias rate estimation by single-epoch or Kalman filter algorithm. GPS Solutions, 21(4), 18711882.CrossRefGoogle Scholar