Instantaneous Real-Time Kinematic Decimeter-Level Positioning with BeiDou Triple-Frequency Signals over Medium Baselines

Many applications, such as marine navigation, land vehicles location, etc., require real time precise positioning under medium or long baseline conditions. In this contribution, we develop a model of real-time kinematic decimeter-level positioning with BeiDou Navigation Satellite System (BDS) triple-frequency signals over medium distances. The ambiguities of two extra-wide-lane (EWL) combinations are fixed first, and then a wide lane (WL) combination is reformed based on the two EWL combinations for positioning. Theoretical analysis and empirical analysis is given of the ambiguity fixing rate and the positioning accuracy of the presented method. The results indicate that the ambiguity fixing rate can be up to more than 98% when using BDS medium baseline observations, which is much higher than that of dual-frequency Hatch-Melbourne-Wübbena (HMW) method. As for positioning accuracy, decimeter level accuracy can be achieved with this method, which is comparable to that of carrier-smoothed code differential positioning method. Signal interruption simulation experiment indicates that the proposed method can realize fast high-precision positioning whereas the carrier-smoothed code differential positioning method needs several hundreds of seconds for obtaining high precision results. We can conclude that a relatively high accuracy and high fixing rate can be achieved for triple-frequency WL method with single-epoch observations, displaying significant advantage comparing to traditional carrier-smoothed code differential positioning method.

[1]  Robert Odolinski,et al.  Combined GPS+BDS+Galileo+QZSS for long baseline RTK positioning , 2014 .

[2]  Xiaohong Zhang,et al.  Regional reference network augmented precise point positioning for instantaneous ambiguity resolution , 2011 .

[3]  Philippe Martinet,et al.  Automatic Guidance of a Farm Tractor Relying on a Single CP-DGPS , 2002, Auton. Robots.

[4]  Alfred Kleusberg,et al.  Kinematic relative positioning using GPS code and carrier beat phase observations , 1986 .

[5]  徐 培亮,et al.  Mixed Integer Geodetic Observation Models and Integer Programming with Applications to GPS Ambiguity Resolution. , 1998 .

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

[7]  Peter Teunissen,et al.  Integer estimation in the presence of biases , 2001 .

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

[9]  Chris Rizos,et al.  GPS SINGLE POINT POSITIONING WITH SA OFF: HOW ACCURATE CAN WE GET? , 2001 .

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

[11]  J. Zumberge,et al.  Precise point positioning for the efficient and robust analysis of GPS data from large networks , 1997 .

[12]  B. Pervan,et al.  High integrity carrier phase navigation for future LAAS using multiple civilian GPS signals , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[13]  Clyde C. Goad,et al.  Optimal Filtering of Pseudoranges and Phases from Single‐Frequency GPS Receivers , 1990 .

[14]  Qile Zhao,et al.  Multipath analysis of code measurements for BeiDou geostationary satellites , 2014, GPS Solutions.

[15]  Sunil Bisnath,et al.  Current State of Precise Point Positioning and Future Prospects and Limitations , 2009 .

[16]  Yanming Feng.  GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals , 2008 .

[17]  Omid Kamali,et al.  A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS , 2008 .

[18]  Xiaohong Zhang,et al.  Performance analysis of triple-frequency ambiguity resolution with BeiDou observations , 2016, GPS Solutions.

[19]  Peter Teunissen,et al.  Characterization of multi-GNSS between-receiver differential code biases using zero and short baselines , 2015 .

[20]  M. Cannon,et al.  Kinematic positioning using GPS pseudorange and carrier phase observations , 1987 .

[21]  Paul Bodin,et al.  Using 1-Hz GPS Data to Measure Deformations Caused by the Denali Fault Earthquake , 2003, Science.

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

[23]  Chris Rizos,et al.  Network RTK Research and Implementation - A Geodetic Perspecti , 2002 .

[24]  X. Chang,et al.  MLAMBDA: a modified LAMBDA method for integer least-squares estimation , 2005 .

[25]  Allison Kealy,et al.  Integration of GPS carrier phase and other measurements for kinematic mapping , 2003 .

[26]  Jingnan Liu,et al.  Triple-frequency carrier ambiguity resolution for Beidou navigation satellite system , 2014, GPS Solutions.

[27]  Xiyang He,et al.  Characteristics Analysis of BeiDou Melbourne-Wübbena Combination , 2015 .

[28]  Xiaohong Zhang,et al.  BDS triple-frequency carrier-phase linear combination models and their characteristics , 2015, Science China Earth Sciences.

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

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

[31]  H.-J. Euler,et al.  On a Measure for the Discernibility between Different Ambiguity Solutions in the Static-Kinematic GPS-Mode , 1991 .

[32]  Harald Schuh,et al.  Precise positioning with current multi-constellation Global Navigation Satellite Systems: GPS, GLONASS, Galileo and BeiDou , 2015, Scientific Reports.

[33]  P. Teunissen.  An optimality property of the integer least-squares estimator , 1999 .

[34]  Earl G. Blackwell.  OVERVIEW OF DIFFERENTIAL GPS METHODS , 1985 .

[35]  Maorong Ge,et al.  A method for improving uncalibrated phase delay estimation and ambiguity-fixing in real-time precise point positioning , 2013, Journal of Geodesy.

[36]  M. Martin-Neira,et al.  Carrier Phase Ambiguity Resolution in GNSS-2 , 1997 .

[37]  R. Hatch.  The synergism of GPS code and carrier measurements , 1982 .

[38]  Baocheng Zhang,et al.  A Novel Un-differenced PPP-RTK Concept , 2011, Journal of Navigation.

[39]  Yehuda Bock,et al.  Detection of arbitrarily large dynamic ground motions with a dense high‐rate GPS network , 2004 .