The phase and code biases of Galileo and BDS-3 BOC signals: effect on ambiguity resolution and precise positioning

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.

[1]  Pascal Willis,et al.  Preface Scientific applications of Galileo and other Global Navigation Satellite Systems (I) , 2011 .

[2]  Oliver Montenbruck,et al.  Code Biases in Multi-GNSS Point Positioning , 2013 .

[3]  Xin Li,et al.  Considering Inter-Frequency Clock Bias for BDS Triple-Frequency Precise Point Positioning , 2017, Remote. Sens..

[4]  C. Günther,et al.  Estimation of satellite and receiver biases on multiple Galileo frequencies with a Kalman filter , 2010 .

[5]  Paul Collins,et al.  Precise Point Positioning with Ambiguity Resolution using the Decoupled Clock Model , 2008 .

[6]  J.I.R. Owen,et al.  Signal Multiplex Techniques in Satellite Channel Availability Possible Applications to Galileo , 2005 .

[7]  Shirong Ye,et al.  Handling the satellite inter-frequency biases in triple-frequency observations , 2017 .

[8]  Mingquan Lu,et al.  Orthogonality-based Constant Envelope Multiplexing , 2014 .

[9]  O. Montenbruck,et al.  IGS-MGEX: Preparing the Ground for Multi-Constellation GNSS Science , 2013 .

[10]  Xin Li,et al.  Multi-GNSS phase delay estimation and PPP ambiguity resolution: GPS, BDS, GLONASS, Galileo , 2018, Journal of Geodesy.

[11]  D. Laurichesse,et al.  Phase biases for ambiguity resolution : from an undifferenced to an uncombined formulation , 2014 .

[12]  Bofeng Li,et al.  Improved method for estimating the inter-frequency satellite clock bias of triple-frequency GPS , 2016, GPS Solutions.

[13]  Xingxing Li,et al.  Improving the Estimation of Uncalibrated Fractional Phase Offsets for PPP Ambiguity Resolution , 2012 .

[14]  Chris Rizos,et al.  The International GNSS Service (IGS): Preparations for the Coming Decade , 2007 .

[15]  Peter Steigenberger,et al.  Apparent clock variations of the Block IIF-1 (SVN62) GPS satellite , 2012, GPS Solutions.

[16]  S. Schaer Mapping and predicting the Earth's ionosphere using the Global Positioning System. , 1999 .

[17]  S. Butman,et al.  Interplex - An Efficient Multichannel PSK/PM Telemetry System , 1972, IEEE Transactions on Communications.

[18]  Peter Steigenberger,et al.  Differential Code Bias Estimation using Multi‐GNSS Observations and Global Ionosphere Maps , 2014 .

[19]  Yue Mao,et al.  Introduction to BeiDou‐3 navigation satellite system , 2019, Navigation.

[20]  Peter Teunissen,et al.  Australia-first high-precision positioning results with new Japanese QZSS regional satellite system , 2018, GPS Solutions.

[21]  Xingxing Li,et al.  Triple-frequency PPP ambiguity resolution with multi-constellation GNSS: BDS and Galileo , 2019, Journal of Geodesy.

[22]  G. Blewitt Carrier Phase Ambiguity Resolution for the Global Positioning System Applied to Geodetic Baselines up to 2000 km , 1989 .

[23]  O. Montenbruck,et al.  Springer Handbook of Global Navigation Satellite Systems , 2017 .

[24]  Christophe Macabiau,et al.  Galileo civil signal modulations , 2007 .

[25]  Xingxing Li,et al.  Accuracy and reliability of multi-GNSS real-time precise positioning: GPS, GLONASS, BeiDou, and Galileo , 2015, Journal of Geodesy.

[26]  J.-P. Berthias,et al.  Integer Ambiguity Resolution on Undifferenced GPS Phase Measurements and Its Application to PPP and Satellite Precise Orbit Determination , 2007 .

[27]  Cuixian Lu,et al.  Initial assessment of the COMPASS/BeiDou-3: new-generation navigation signals , 2017, Journal of Geodesy.

[28]  Xiaohong Zhang,et al.  Timing group delay and differential code bias corrections for BeiDou positioning , 2015, Journal of Geodesy.

[29]  Jingnan Liu,et al.  Characteristics of inter-frequency clock bias for Block IIF satellites and its effect on triple-frequency GPS precise point positioning , 2017, GPS Solutions.

[30]  G. Gendt,et al.  Resolution of GPS carrier-phase ambiguities in Precise Point Positioning (PPP) with daily observations , 2008 .

[31]  Jiayi Zhang,et al.  ACE-BOC: dual-frequency constant envelope multiplexing for satellite navigation , 2016, IEEE Transactions on Aerospace and Electronic Systems.

[32]  Chris Rizos,et al.  The International GNSS Service in a changing landscape of Global Navigation Satellite Systems , 2009 .

[33]  Michael B. Heflin,et al.  Examining the C1-P1 Pseudorange Bias , 2001, GPS Solutions.

[34]  Jean-Luc Issler,et al.  AltBOC for Dummies or Everything You Always Wanted To Know About AltBOC , 2008 .

[35]  Jing-nan Liu,et al.  GPS inter-frequency clock bias estimation for both uncombined and ionospheric-free combined triple-frequency precise point positioning , 2018, Journal of Geodesy.

[36]  Xingxing Li,et al.  Estimation and analysis of differential code biases for BDS3/BDS2 using iGMAS and MGEX observations , 2018, Journal of Geodesy.

[37]  Vladimir Kharisov,et al.  Optimal Aligning of GNSS Navigation Signals Sum , 2011 .