Abstract
Triple-frequency observations will introduce an inter-frequency clock bias (IFCB) between the new frequency and the original dual-frequency observations. It has been verified that satellite IFCB can reach dozens of centimeters and several centimeters for GPS Block IIF satellite and BDS satellite, respectively. The existence of satellite IFCB will significantly affect undifferenced triple-frequency data processing. Based on 4-year data collected from 80 globally distributed stations, the long-term characteristics of IFCB coefficients obtained by using harmonic analysis have been studied. The results demonstrate that the coefficients of IFCB periodic model cannot be well fitted only by using sun elevation angle. Also, coefficients have obvious periodic characteristics and their periods differ among different satellites. Thus, a new linear-plus-periodic model is proposed to fit the long-term coefficients. Then, IFCB empirical correction models for 12 GPS Block IIF satellites and BDS GEO and IGSO satellites are built. In order to validate the correction model, IFCB standard deviation (STD), triple-frequency precise point positioning (PPP) and undifferenced extra-wide-lane (EWL) ambiguity resolution are employed. The results based on more than 4-year observations show that, with correction model applied, the average IFCB STD decreases by about 65.5% and 45.5% for GPS and BDS satellites, respectively. Compared to triple-frequency PPP without IFCB correction, triple-frequency PPP results with IFCB correction show that Up, North and East components accuracy are improved by 12.3%, 16.0% and 13.2%, respectively. Besides, IFCB correction will greatly improve the consistence of EWL fractional cycle bias among different stations and improve the success rate of EWL ambiguity resolution.
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Data availability
The multi-GNSS datasets analyzed during the current study are available from ftp://igs.gnsswhu.cn/. The source code of IFCB correction model is available from https://www.researchgate.net/publication/328489338_IFCB_Correction_model.
References
Boehm J, Werl B, Schuh H (2006) Troposphere mapping functions for GPS and very long baseline interferometry from European Centre for Medium-Range Weather Forecasts operational analysis data. J Geophys Res 111(B2):1059–1075
Dai X, Ge M, Lou Y, Shi C, Wickert J, Schuh H (2015) Estimating the yaw-attitude of BDS IGSO and MEO satellites. J Geodesy 89(10):1005–1018
Dong D, Bock Y (1989) Global positioning system network analysis with phase ambiguity resolution applied to crustal deformation studies in California. J Geophys Res 94(B4):3949–3966
Feng Y (2008) GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals. J Geodesy 82(12):847–862
Geng J, Bock Y (2013) Triple-frequency GPS rapid precise point positioning with rapid ambiguity resolution. J Geodesy 87(5):449–460
Gu S, Lou Y, Shi C, Liu J (2015) BeiDou phase bias estimation and its application in precise point positioning with triple-frequency observable. J Geodesy 89(10):979–992
Guo J, Geng J (2018) GPS satellite clock determination in case of inter-frequency clock biases for triple-frequency precise point positioning. J Geodesy 92(10):1133–1142
Li H, Zhu W (2014) Inter-frequency Clock Bias of BeiDou. Acta Geodaetica Cartogr Sin 43(11):1127–1131
Li H, Zhou X, Wu B, Wang J (2012) Estimation of the inter-frequency clock bias for the satellites of PRN25 and PRN01. Sci China (Phys Mech Astron) 55(11):2186–2193
Li H, Zhou X, Wu B (2013) Fast estimation and analysis of the inter-frequency clock bias for Block IIF satellites. GPS Solutions 17(3):347–355
Li H, Li B, Xiao G, Wang J, Xu T (2016) Improved method for estimating the inter-frequency satellite clock bias of triple-frequency GPS. GPS Solut 20(4):751–760
Li P, Zhang X, Ge M, Schuh H (2018) Three-frequency BDS precise point positioning ambiguity resolution based on raw observables. J Geodesy 92(12):1357–1369
Montenbruck O, Hauschild A, Steigenberger P, Langley R (2010) Three’s the challenge: a close look at GPS SVN62 triple frequency signal combinations finds carrier-phase variations on the new L5. GPS World 21(8):8–19
Montenbruck O, Hugentobler U, Dach R, Steigenberger P, Hauschild A (2012) Apparent clock variations of the Block IIF-1 (SVN62) GPS satellite. GPS Solut 16(3):303–313
Montenbruck O, Hauschild A, Steigenberger P, Hugentobler U, Teunissen P, Nakamura S (2013) Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system. GPS Solut 17(2):211–222. https://doi.org/10.1007/s10291-012-0272-x
Montenbruck O, Steigenberger P, Prange L, Deng Z, Zhao Q, Perosanz F et al (2017) The Multi-GNSS Experiment (MGEX) of the International GNSS Service (IGS)—achievements, prospects and challenges. Adv Space Res 59(7):1671–1697
Pan L, Li X, Zhang X, Li X, Lu C, Zhao Q, Liu J (2017) Considering inter-frequency clock bias for BDS triple-frequency precise point positioning. Remote Sens 9:734. https://doi.org/10.3390/rs9070734
Pan L, Zhang X, Li X, Liu J, Guo F, Yuan Y (2018a) GPS inter-frequency clock bias modeling and prediction for real-time precise point positioning. GPS Solut 22:76. https://doi.org/10.1007/s10291-018-0741-y
Pan L, Zhang X, Guo F, Liu J (2018b) GPS inter-frequency clock bias estimation for both uncombined and ionospheric-free combined triple-frequency precise point positioning. J Geodesy. https://doi.org/10.1007/s00190-018-1176-5
Zhang X, Wu M, Liu W, Li X, Yu S, Lu C, Wickert J (2017) Initial assessment of the COMPASS/BeiDou-3: new-generation navigation signals. J Geodesy 91(10):1225–1240
Zhao L, Ye S, Song J (2017) Handling the satellite inter-frequency biases in triple-frequency observations. Adv Space Res 59(8):2048–2057
Funding
This study is partially supported by the National Natural Science Foundation of China (41904016), the China Postdoctoral Science Foundation (2019M662714) and the National Key Research and Development Plan (No. 2016YFB0501802). The thanks are also given to IGS MGEX for providing data.
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YL and JL designed research; XG and SG performed research; XG, FZ and XY analyzed data; and XG and ZW wrote the paper.
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Gong, X., Gu, S., Lou, Y. et al. Research on empirical correction models of GPS Block IIF and BDS satellite inter-frequency clock bias. J Geod 94, 36 (2020). https://doi.org/10.1007/s00190-020-01365-9
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DOI: https://doi.org/10.1007/s00190-020-01365-9