Performance Analysis of BDS Medium-Long Baseline RTK Positioning Using an Empirical Troposphere Model

For GPS medium-long baseline real-time kinematic (RTK) positioning, the troposphere parameter is introduced along with coordinates, and the model is ill-conditioned due to its strong correlation with the height parameter. For BeiDou Navigation Satellite System (BDS), additional difficulties occur due to its special satellite constellation. In fact, relative zenith troposphere delay (RZTD) derived from high-precision empirical zenith troposphere models can be introduced. Thus, the model strength can be improved, which is also called the RZTD-constrained RTK model. In this contribution, we first analyze the factors affecting the precision of BDS medium-long baseline RTK; thereafter, 15 baselines ranging from 38 km to 167 km in different troposphere conditions are processed to assess the performance of RZTD-constrained RTK. Results show that the troposphere parameter is difficult to distinguish from the height component, even with long time filtering for BDS-only RTK. Due to the lack of variation in geometry for the BDS geostationary Earth orbit satellite, the long convergence time of ambiguity parameters may reduce the height precision of GPS/BDS-combined RTK in the initial period. When the RZTD-constrained model was used in BDS and GPS/BDS-combined situations compared with the traditional RTK, the standard deviation of the height component for the fixed solution was reduced by 52.4% and 34.0%, respectively.

[1]  Richard B. Langley,et al.  Long-Range Single-Baseline RTK for Complementing Network-Based RTK , 2007 .

[2]  J. Saastamoinen Contributions to the theory of atmospheric refraction , 1972 .

[3]  Ahmed El-Rabbany,et al.  Performance analysis of NOAA tropospheric signal delay model , 2011 .

[4]  P. Teunissen,et al.  The ratio test for future GNSS ambiguity resolution , 2013, GPS Solutions.

[5]  Yibin Yao,et al.  A New Method to Accelerate PPP Convergence Time by using a Global Zenith Troposphere Delay Estimate Model , 2014, Journal of Navigation.

[6]  Harald Schuh,et al.  Improving BeiDou real-time precise point positioning with numerical weather models , 2017, Journal of Geodesy.

[7]  Lambert Wanninger,et al.  Improved Ambiguity Resolution by RegionalDifferential Modelling of the Ionosphere , 1995 .

[8]  T. Herring,et al.  Introduction to GAMIT/GLOBK , 2006 .

[9]  Liwen Dai,et al.  Innovative Algorithms to Improve Long Range RTK Reliability and Availability , 2007 .

[10]  Zhigang Hu,et al.  Precise relative positioning using real tracking data from COMPASS GEO and IGSO satellites , 2012, GPS Solutions.

[11]  Alan Dodson,et al.  Wet tropospheric effects on precise relative GPS height determination , 1996 .

[12]  Jingnan Liu,et al.  Reliable single-epoch ambiguity resolution for short baselines using combined GPS/BeiDou system , 2014, GPS Solutions.

[13]  Alex Parkins,et al.  Increasing GNSS RTK availability with a new single-epoch batch partial ambiguity resolution algorithm , 2011 .

[14]  Weirong Chen,et al.  Assessment of GPT2 Empirical Troposphere Model and Application Analysis in Precise Point Positioning , 2014 .

[15]  Haibo He,et al.  Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system , 2013, Science China Earth Sciences.

[16]  C. J. Earls,et al.  An approach for instantaneous ambiguity resolution for medium- to long-range multiple reference station networks , 2005 .

[17]  Dennis Odijk,et al.  Stochastic modelling of the ionosphere for fast GPS ambiguity resolution , 2000 .

[18]  D. Grejner-Brzezinska,et al.  Analysis of long-range network RTK during a severe ionospheric storm , 2005 .

[19]  G. Lachapelle,et al.  Precise estimation of residual tropospheric delays using a regional GPS network for real-time kinematic applications , 2001 .

[20]  Peter Steigenberger,et al.  Initial assessment of the COMPASS/BeiDou-2 regional navigation satellite system , 2013, GPS Solutions.

[21]  H. Schuh,et al.  Global Mapping Function (GMF): A new empirical mapping function based on numerical weather model data , 2006 .

[22]  Robert Odolinski,et al.  Instantaneous BeiDou+GPS RTK positioning with high cut-off elevation angles , 2014, Journal of Geodesy.

[23]  Yidong Lou,et al.  Rapid ambiguity resolution over medium-to-long baselines based on GPS/BDS multi-frequency observables , 2017 .

[24]  T. Takasu,et al.  Kalman-Filter-Based Integer Ambiguity Resolution Strategy for Long-Baseline RTK with Ionosphere and Troposphere Estimation , 2010 .

[25]  P. Teunissen The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation , 1995 .

[26]  Haibo He,et al.  GNSS multi-carrier fast partial ambiguity resolution strategy tested with real BDS/GPS dual- and triple-frequency observations , 2013, GPS Solutions.

[27]  Robert Weber,et al.  Development of an improved empirical model for slant delays in the troposphere (GPT2w) , 2015, GPS Solutions.

[28]  Bofeng Li,et al.  GNSS ambiguity resolution with controllable failure rate for long baseline network RTK , 2014, Journal of Geodesy.

[29]  Hui Liu,et al.  Fast ambiguity resolution for long-range reference station networks with ionospheric model constraint method , 2017, GPS Solutions.

[30]  T. Nilsson,et al.  GPT2: Empirical slant delay model for radio space geodetic techniques , 2013, Geophysical research letters.

[31]  Chris Rizos,et al.  GPS Network Design and Error Mitigation for Real-Time Continuous Array Monitoring Systems , 1996 .

[32]  Haibo He,et al.  Estimation and Mitigation of the Main Errors for Centimetre-level Compass RTK Solutions over Medium-Long Baselines , 2011, Journal of Navigation.

[33]  H. Schuh,et al.  Short Note: A global model of pressure and temperature for geodetic applications , 2007 .

[34]  Yuanxi Yang,et al.  Performance assessment of single- and dual-frequency BeiDou/GPS single-epoch kinematic positioning , 2014, GPS Solutions.

[35]  Peter Dare,et al.  Estimation of Troposphere Decorrelation Using the Combined Zenith-dependent Parameter , 2008 .

[36]  Charles C. Counselman,et al.  Interferometric analysis of GPS phase observations , 1986 .

[37]  Bofeng Li,et al.  Geometry‐specified troposphere decorrelation for subcentimeter real‐time kinematic solutions over long baselines , 2010 .

[38]  Choi Look Law,et al.  Development and assessment of GPS virtual reference stations for RTK positioning , 2003 .

[39]  Bofeng Li,et al.  Wide area real time kinematic decimetre positioning with multiple carrier GNSS signals , 2010 .