Abstract
The modernization of GPS and GLONASS and the development of BDS and Galileo make a variety of new navigation signals available to the users. The wide range of GNSS signals will result in various biases that need to be considered in data processing. In particular, Galileo and BDS-3 binary offset carrier (BOC) signals employ a new approach called dual-frequency constant envelope multiplexing. In this contribution, the phase and code biases of Galileo and BDS-3 BOC signals were estimated and investigated with the observation of iGMAS and MEGX networks during the period of 2015–2018. Initial analyses of BDS-3 BOC signals indicate that satellite-specific pilot-minus-data code biases are close to zero for BDS-3 B2a and B2b signals, while the ones for B1C signal are not. In addition, the satellite differential code biases (DCBs) between Galileo E5a, E5b and E5ab signals, as well as between BDS-3 B2a and B2b signals, are also close to zero. The estimated phase biases for Galileo E5a, E5b and E5ab signals or BDS-3 B2a and B2b signals are the same values, and the resultant phase biases of the extra-wide-lane (EWL) combination are very close to the zero. Besides, no obvious time-varying inter-frequency clock bias could be observed for both Galileo and BDS-3 satellites. Such characteristics of phase/code biases of the new GNSS signals are valuable for ambiguity resolution and precise positioning. Only one set of code or phase bias product is required for Galileo E5a/b/ab (BDS-3 B2a/b) signals. The satellite DCBs between Galileo E5a, E5b and E5ab signals, as well as between BDS-3 B2a and B2b signals, can be ignored in the data processing. And the EWL ambiguities derived from the Galileo E5a/b/ab or BDS-3 B2a/b observations keep their integer feature and can be fixed to integers without phase bias corrections.
Similar content being viewed by others
Data availability
The GNSS observations are available in the IGS repository, ftp://cddis.gsfc.nasa.gov/pub/gps/data. The Galileo DCB products are publicly available in the DLR repository.
References
Blewitt G (1989) Carrier phase ambiguity resolution for the global positioning system applied to geodetic baselines up to 2,000 km. J Geophys Res 94(B8):10187–10203. https://doi.org/10.1029/JB094iB08p10187
Butman S, Timor U (1972) Interplex: an efficient multichannel PSK/PM telemetry system. IEEE Trans Commun Technol 20(3):415–419
Collins JP, Lahaye F, Heroux P, Bisnath S (2008) Precise point positioning with ambiguity resolution using the decoupled clock model. In: Proceedings of the institute of navigation international technical meeting ION GNSS (16–19 September 2008, Savannah, Georgia, USA), pp 1315–1322
CSNO (2017) BeiDou navigation satellite system signal in space interface control document open service signal B1C (version 1.0). China Satellite Navigation Office. http://www.beidou.gov.cn/xt/gfxz/201712/P020171226741342013031.pdf?tdsourcetag=s_pcqq_aiomsg. Accessed 1 Dec 2017
Dow J, Neilan R, Rizos C (2009) The international GNSS service in a changing landscape of global navigation satellite systems. J Geod 83(3–4):191–198. https://doi.org/10.1007/s00190-008-0300-3
Ge M, Gendt G, Rothacher M, Shi C, Liu J (2008) Resolution of GPS carrier-phase ambiguities in precise point positioning (PPP) with daily observations. J Geod 82(7):389–399
Guo F, Yao Z, Lu M (2014) Orthogonality-based constant envelope multiplexing. In: Proceedings of the 27th international technical meeting of the satellite division of the institute of navigation (ION GNSS + 2014), Tampa, FL, September 2014, pp 3163–3173
Guo F, Zhang X, Wang J (2015) Timing group delay and differential code bias corrections for BeiDou positioning. J Geod 89(5):427–445
Henkel P, Wen Z, Christoph G (2010) Estimation of satellite and receiver biases on multiple Galileo frequencies with a Kalman filter. In: Proceedings of ION international technical meeting (2. January 2010, San Diego, USA). http://www.nav.ei.tum.de/joomla/documents/up/estimationofsatelliteandreceiverbiases on multiple frequencies–itm2010.pdf
Jefferson C, Heflin B, Muellerschoen J (2001) Examining the C1–P1 pseudorange bias. GPS Solut 4:25–30
Kharisov V, Povalyaev A (2011) Optimal aligning of GNSS navigation signals sum. In 24th international technical meeting of the satellite division of the institute of navigation, Portland, OR, 2011, pp 3141–3155
Laurichesse D (2017) Phase biases for ambiguity resolution: from an undifferenced to an uncombined formulation. http://www.ppp-wizard.net/Articles/WhitePaperL5.pdf. Accessed 1 Mar 2017
Laurichesse D, Mercier F, Berthias JP, Broca P, Cerri L (2009) Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP and satellite precise orbit determination. J Inst Navig 56(2):135–149
Lestarquit L, Artaud G, Issler J-L (2008) AltBOC for dummies or everything you always wanted to know about AltBOC. In ION GNSS 2008, Savannah, GA, pp 961–970
Li X, Zhang X (2012) Improving the estimation of uncalibrated fractional phase offsets for PPP ambiguity resolution. Navigation 65(3):513–529
Li X, Ge M, Dai X, Ren X, Fritsche M, Wickert J, Schuh H (2015) Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo. J Geod 89(6):607–635
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. https://doi.org/10.1007/s10291-015-0486-9
Li X, Li X, Yuan Y, Zhang K, Zhang X, Wickert J (2018a) Multi-GNSS phase delay estimation and PPP ambiguity resolution: GPS, BDS, GLONASS, Galileo. J Geod 92(6):579–608
Li X, Xie W, Huang J, Ma T, Zhang X, Yuan Y (2018b) Estimation and analysis of differential code biases for BDS3/BDS2 using iGMAS and MGEX observations. J Geod. https://doi.org/10.1007/s00190-018-1170-y
Li X, Li X, Liu G, Feng G, Yuan Y, Zhang K, Ren X (2019) Triple-frequency PPP ambiguity resolution with multi-constellation GNSS: BDS and Galileo. J Geod. https://doi.org/10.1007/s00190-019-01229-x
Melbourne WG (1985) The case for ranging in GPS-based geodetic systems. In: Proceedings of the first international symposium on precise positioning with the global positioning system, Rockville, 15–19 April
Montenbruck O, Hauschild A (2013) Code biases in multi-GNSS point positioning. In: Proceedings of the 2013 international technical meeting of the institute of navigation, San Diego, California, January 2013, pp 616–628
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. https://doi.org/10.1007/s10291-011-0232-x
Montenbruck O, Steigenberger P, Khachikyan R et al (2014a) IGS-MGEX: preparing the ground for multi-constellation GNSS science. Inside GNSS 9(1):42–49
Montenbruck O, Hauschild A, Steigenberger P (2014b) Differential code bias estimation using multi-GNSS observations and global ionosphere maps Navig J Inst Navig 61(3):191–201
Pan L, Zhang X, Li X, Liu J, Li X (2017a) Characteristics of inter-frequency clock bias for Block IIF satellites and its effect on triple-frequency GPS precise point positioning. GPS Solut 21(2):811–822. https://doi.org/10.1007/s10291-016-0571-8
Pan L, Li X, Zhang X, Li X, Lu C, Zhao Q, Liu J (2017b) Considering inter-frequency clock bias for BDS triple-frequency precise point positioning. Remote Sens 9(7):734. https://doi.org/10.3390/rs9070734
Pan L, Zhang X, Guo F, Liu J (2018) GPS inter-frequency clock bias estimation for both uncombined and ionospheric-free combined triple-frequency precise point positioning. J Geod. https://doi.org/10.1007/s00190-018-1176-5
Pratt R, Owen J (2005) Signal multiplex techniques in satellite channel availability. In ION GNSS 18th international technical meeting of the satellite division, Long Beach, CA, 2005, pp 2448–2460
Rebeyrol E, Julien O, Macabiau C, Ries L, Delatour A, Lestarquit L (2007) Galileo civil signal modulations. GPS Solut 11(3):159–171
Schaer S (1999) Mapping and predicting the Earth’s ionosphere using the global positioning system. Ph.D. thesis, University of Bern, Switzerland
Schaer S (2008) Differential code biases (DCB) in GNSS analysis. IGS workshop 2008, Miami Beach, FL, USA, 2–6 June
Schaer S (2012) Overview of relevant GNSS biases. In: Proceedings of IGS workshop on GNSS biases. University of Bern, Switzerland, 18–19 January
Schaer S, Dach R (2010) Biases in GNSS analysis. IGS Workshop, Newcastle, England, 28 June–2 July 2010
Schaer S, Steigenberger P (2006) Determination and use of GPS differential code bias values. In IGS workshop, pp 8–11
Teunissen PJG, Montenbruck O (2017) Springer handbook of global navigation satellite systems. https://doi.org/10.1007/978-3-319-42928-1
Willis P (2011) Scientific applications of Galileo and other global navigation satellite systems (II). Adv Space Res 47:173
Wübbena G (1985) Software developments for geodetic positioning with GPS using TI-4100 code and carrier measurements. In: Proceedings of the first international symposium on precise positioning with the global positioning system, Rockville
Yang Y, Gao W, Guo S, Mao Y, Yang Y (2019) Introduction to BeiDou-3 navigation satellite system. Navigation. https://doi.org/10.1002/navi.291
Yao Z, Zhang J (2016) Lu M (2016) ACE-BOC: dual-frequency constant envelope multiplexing for satellite navigation. IEEE Trans Aerosp Electron Syst 52(1):466–485. https://doi.org/10.1109/TAES.2015.140607
Zaminpardaz S, Wang K, Teunissen PJ (2018) Australia-first high-precision positioning results with new Japanese QZSS regional satellite system. GPS Solut 22(4):101
Zhang X, Wu M, Liu W et al (2017) Initial assessment of the COMPASS/BeiDou-3: new-generation navigation signals. J Geod. https://doi.org/10.1007/s00190-017-1020-3
Zhao L, Ye S, Song J (2017) Handling the satellite interfrequency biases in triple-frequency observations. Adv Space Res 59(8):2048–2057. https://doi.org/10.1016/j.asr.2017.02.002
Acknowledgements
This work has been supported by Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University: 18-02-09, the National Natural Science Foundation of China under Grant 41774030, Grant 41974027 and Grant 41974029, in part by the Hubei Province Natural Science Foundation of China under Grant 2018CFA081.
Author information
Authors and Affiliations
Contributions
XXL and XL provided the initial idea and designed the experiments for this study; XXL, XL and GL analyzed the data and wrote the manuscript; WX, FG and YY helped with the writing. All authors reviewed the manuscript.
Corresponding author
Rights and permissions
About this article
Cite this article
Li, X., Li, X., Liu, G. et al. The phase and code biases of Galileo and BDS-3 BOC signals: effect on ambiguity resolution and precise positioning. J Geod 94, 9 (2020). https://doi.org/10.1007/s00190-019-01336-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00190-019-01336-9