GNSS antenna array-aided CORS ambiguity resolution

Array-aided precise point positioning is a measurement concept that uses GNSS data, from multiple antennas in an array of known geometry, to realize improved GNSS parameter estimation proposed by Teunissen (IEEE Trans Signal Process 60:2870–2881, 2012). In this contribution, the benefits of array-aided CORS ambiguity resolution are explored. The mathematical model is formulated to show how the platform-array data can be reduced and how the variance matrix of the between-platform ambiguities can profit from the increased precision of the reduced platform data. The ambiguity resolution performance will be demonstrated for varying scenarios using simulation. We consider single-, dual- and triple-frequency scenarios of geometry-based and geometry-free models for different number of antennas and different standard deviations of the ionosphere-weighted constraints. The performances of both full and partial ambiguity resolution (PAR) are presented for these different scenarios. As the study shows, when full advantage is taken of the array antennas, both full and partial ambiguity resolution can be significantly improved, in some important cases even enabling instantaneous ambiguity resolution. PAR widelaning and its suboptimal character are hereby also illustrated.

[1]  Gérard Lachapelle,et al.  Ionosphere Weighted GPS Cycle Ambiguity Resolution , 2002 .

[2]  J. K. Ray,et al.  GPS code and carrier multipath mitigation using a multiantenna system , 2001 .

[3]  Jaume Sanz Subirana,et al.  Feasibility of wide-area subdecimeter navigation with GALILEO and Modernized GPS , 2003, IEEE Trans. Geosci. Remote. Sens..

[4]  Sandra Verhagen,et al.  Robustness of GNSS integer ambiguity resolution in the presence of atmospheric biases , 2014, GPS Solutions.

[5]  Peter Teunissen,et al.  A comparison of TCAR, CIR and LAMBDA GNSS ambiguity resolution , 2003 .

[6]  Peter Teunissen,et al.  Testing a new multivariate GNSS carrier phase attitude determination method for remote sensing platforms , 2010 .

[7]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[8]  Naser El-Sheimy,et al.  Optimal linear combinations of triple frequency carrier phase data from future global navigation satellite systems , 2006 .

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

[10]  Bofeng Li,et al.  Real-Time Kinematic positioning using fused data from multiple GNSS antennas , 2012, 2012 15th International Conference on Information Fusion.

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

[12]  Peter J. G. Teunissen A-PPP: Array-Aided Precise Point Positioning With Global Navigation Satellite Systems , 2012, IEEE Transactions on Signal Processing.

[13]  Yehuda Bock,et al.  A unified scheme for processing GPS dual-band phase observations , 1988 .

[14]  Bofeng Li,et al.  Three carrier ambiguity resolution: distance-independent performance demonstrated using semi-generated triple frequency GPS signals , 2010 .

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

[16]  Calyampudi R. Rao,et al.  Linear statistical inference and its applications , 1965 .

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

[18]  P. Teunissen,et al.  The least-squares ambiguity decorrelation adjustment: its performance on short GPS baselines and short observation spans , 1997 .

[19]  C.C.J.M. Tiberius,et al.  Geometry-free ambiguity success rates in case of partial fixing , 1999 .

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

[21]  H. Isshiki A long baseline kinematic GPS solution of ionosphere-free combination constrained by widelane combination , 2004, Oceans '04 MTS/IEEE Techno-Ocean '04 (IEEE Cat. No.04CH37600).

[22]  Adam Mowlam,et al.  Baseline Precision Results Using Triple Frequency Partial Ambiguity Sets , 2004 .

[23]  P. Teunissen Success probability of integer GPS ambiguity rounding and bootstrapping , 1998 .

[24]  David G. Lawrence A New Method for Partial Ambiguity Resolution , 2009 .

[25]  Christoph Günther Partial ambiguity fixing for precise point positioning with multiple frequencies in the presence of biases , 2009 .

[26]  Peter Teunissen,et al.  Minimal detectable biases of GPS data , 1998 .

[27]  Peter Teunissen,et al.  On the GPS widelane and its decorrelating property , 1997 .

[28]  Sandra Verhagen,et al.  Ps-LAMBDA: Ambiguity success rate evaluation software for interferometric applications , 2013, Comput. Geosci..

[29]  J. Winkel,et al.  TCAR and MCAR Options with Galileo and GPS , 2003 .

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

[31]  Y. Bock,et al.  Global Positioning System Network analysis with phase ambiguity resolution applied to crustal deformation studies in California , 1989 .

[32]  Dennis Odijk,et al.  Weighting Ionospheric Corrections to Improve Fast GPS Positioning Over Medium Distances , 2000 .

[33]  P. Teunissen Adjustment Theory: an introduction , 2000 .