Elementary Mathematical Models for GNSS Positioning

[1]  Charles C. Counselman,et al.  Miniature Interferometer Terminals for Earth Surveying: Ambiguity And Multipath with Global Positioning System , 1981, IEEE Transactions on Geoscience and Remote Sensing.

[2]  C.C.J.M. Tiberius,et al.  Recursive data processing for kinematic GPS surveying , 1998 .

[3]  Peter Teunissen,et al.  GPS Carrier Phase Ambiguity Fixing Concepts , 1998 .

[4]  Bernhard Hofmann-Wellenhof,et al.  GNSS - Global Navigation Satellite Systems: GPS, GLONASS, Galileo, and more , 2007 .

[5]  Olivier Julien,et al.  Investigation of Combined GPS/GALILEO Cascading Ambiguity Resolution Schemes , 2003 .

[6]  Oscar L. Colombo,et al.  Inertial-Aided Cycle-Slip Detection/Correction for Precise, Long-Baseline Kinematic GPS , 1999 .

[7]  P. Teunissen,et al.  A NEW WAY TO FIX CARRIER-PHASE AMBIGUITIES. , 1995 .

[8]  Lambert Wanninger,et al.  The Performance of Virtual Reference Stations in Active Geodetic GPS-networks under Solar Maximum Conditions , 1999 .

[9]  Pierre Héroux,et al.  Precise Point Positioning Using IGS Orbit and Clock Products , 2001, GPS Solutions.

[10]  David Walsh,et al.  Real Time Ambiguity Resolution While on the Move , 1992 .

[11]  Werner Gurtner,et al.  RINEX - The Receiver Independent Exchange Format - Version 3.00 , 2007 .

[12]  P. Axelrad,et al.  Gps Error Analysis , 1996 .

[13]  Jaewoo Jung,et al.  Civilian GPS: The Benefits of Three Frequencies , 2000, GPS Solutions.

[14]  George P. Gerdan A Comparison of Four Methods of Weighting Double Difference Pseudorange Measurements , 1995 .

[15]  Karl-Rudolf Koch,et al.  Parameter estimation and hypothesis testing in linear models , 1988 .

[16]  Caroline Erickson,et al.  An Analysis of Ambiguity Resolution Techniques for Rapid Static GPS Surveys Using Single Frequency Data , 1992 .

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

[18]  C.C.J.M. Tiberius,et al.  FIXING THE AMBIGUITIES: ARE YOU SURE THEY'RE RIGHT?. , 2000 .

[19]  H. Hartinger,et al.  Variances of GPS Phase Observations: The SIGMA-ɛ Model , 1999, GPS Solutions.

[20]  Andreas Wieser,et al.  GPS Based Velocity Estimation: And Its Application to an Odometer , 2007 .

[21]  Tom Logsdon,et al.  The Navstar Global Positioning System , 1992 .

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

[23]  D. S. Chen,et al.  Development of a fast ambiguity search filtering (FASF) method for GPS carrier phase ambiguity resolution , 1994 .

[24]  G. Lu,et al.  Attitude determination using a multi‐antenna GPS system for hydrographic applications , 1994 .

[25]  Gérard Lachapelle,et al.  GPS Observables and Error Sources for Kinematic Positioning , 1991 .

[26]  L. Sjöberg A NEW METHOD FOR GPS PHASE BASE AMBIGUITY RESOLUTION BY COMBINED PHASE AND CODE OBSERVABLES , 1998 .

[27]  Nadav Levanon,et al.  Instant Active Positioning with One LEO Satellite , 1999 .

[28]  Peter Teunissen,et al.  The invertible GPS ambiguity transformations , 1995 .

[29]  Jonghyuk Kim,et al.  6DoF SLAM aided GNSS/INS Navigation in GNSS Denied and Unknown Environments , 2005 .

[30]  T Mueller,et al.  Wide area differential GPS , 1994 .

[31]  Wolfgang Werner,et al.  Comparison of Different On-The-Fly Ambiguity Resolution Techniques , 1995 .

[32]  Zhibo Wen,et al.  Bias Estimation for Precise Point Positioning , 2017 .

[33]  Peter Teunissen,et al.  Integer aperture GNSS ambiguity resolution , 2003 .

[34]  Yang Gao,et al.  Improving Ambiguity Convergence in Carrier Phase-Based Precise Point Positioning , 2001 .

[35]  Günther Retscher,et al.  Accuracy Performance of Virtual Reference Station (VRS) Networks , 2002 .

[36]  Xiaoming Chen,et al.  Virtual Reference Station Systems , 2002 .

[37]  L. Sjöberg Triple Frequency GPS for Precise Positioning , 2003 .

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

[39]  M. Vermeer,et al.  The precision of geodetic GPS and one way of improving it , 1997 .

[40]  S. Verhagen Integer ambiguity validation: an open problem? , 2004 .

[41]  Peter Teunissen,et al.  Penalized GNSS Ambiguity Resolution , 2004 .

[42]  Peter Teunissen,et al.  Batch and Recursive Model Validation , 2017 .

[43]  Ming Wei,et al.  Fast Ambiguity Resolution Using an Integer Nonlinear Programming Method , 1995 .

[44]  Christian Tiberius,et al.  Integer Ambiguity Estimation with the Lambda Method , 1996 .

[45]  Sandra Verhagen,et al.  On the Foundation of the Popular Ratio Test for GNSS Ambiguity Resolution , 2004 .

[46]  Herbert Landau,et al.  On-the-Fly Ambiguity Resolution for Precise Differential Positioning , 1992 .

[47]  L. Landau,et al.  Analysis of Three-Carrier Ambiguity Resolution Technique for Precise Relative Positioning in GNSS-2 , 1998 .

[48]  Alexandra Verhagen,et al.  The GNSS integer ambiguities: estimation and validation , 2005 .

[49]  Peter Teunissen,et al.  On the Spectrum of the GPS DD-Ambiguities , 1994 .

[50]  Hans-Juergen Euler,et al.  Comparison of Several AROF Kinematic Techniques , 1994 .

[51]  Heinz Habrich,et al.  Double Difference Ambiguity Resolution for GLONASS/GPS Carrier Phase , 1999 .

[52]  Peter Teunissen,et al.  Least-Squares Estimation and Kalman Filtering , 2017 .

[53]  Lambert Wanninger,et al.  Real-Time Differential GPS Error Modelling in Regional Reference Station Networks , 1998 .

[54]  Bernhard Wagner,et al.  Multi-Base RTK Positioning Using Virtual Reference Stations , 2000 .

[55]  Benjamin W. Remondi,et al.  Pseudo-Kinematic GPS Results Using the Ambiguity Function Method , 1991 .

[56]  Clyde C. Goad,et al.  On optimal filtering of GPS dual frequency observations without using orbit information , 1991 .

[57]  Chris Rizos,et al.  A Study on GPS/GLONASS Multiple Reference Station Techniques for Precise Real-Time Carrier Phase-Based Positioning , 2001 .

[58]  Ron Hatch,et al.  Instantaneous Ambiguity Resolution , 1991 .

[59]  P. Teunissen A new method for fast carrier phase ambiguity estimation , 1994, Proceedings of 1994 IEEE Position, Location and Navigation Symposium - PLANS'94.

[60]  Gérard Lachapelle,et al.  Precise Aircraft-to-Aircraft Positioning Using a Multiple Receiver Configuration , 1994 .

[61]  Chris Rizos,et al.  A New Method for Constructing Multi-satellite Ambiguity Combinations for lmproved Ambiguity Resolution , 1995 .

[62]  Peter Teunissen,et al.  GNSS three carrier phase ambiguity resolution using the LAMBDA method , 1999 .

[63]  D. T. Knight,et al.  A New Method of Instantaneous Ambiguity Resolution , 1994 .

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

[65]  Markus Rothacher,et al.  Relative Static Positioning with the Global Positioning System: Basic Technical Considerations , 1990 .

[66]  Heidi Kuusniemi,et al.  User-Level Reliability and Quality Monitoring in Satellite-Based Personal Navigation , 2005 .

[67]  François Lahaye,et al.  Precise Point Positioning , 2017 .

[68]  Chris Rizos,et al.  Three Carrier Approaches for Future Global, Regional and Local GNSS Positioning Services: Concepts and Performance Perspectives , 2005 .

[69]  C.C.J.M. Tiberius,et al.  Weighting GPS Dual Frequency Observations: Bearing the Cross of Cross-Correlation , 1998, GPS Solutions.

[70]  Gerhard Beutler,et al.  Rapid static positioning based on the fast ambiguity resolution approach , 1990 .

[71]  Christian Altmayer,et al.  Cycle Slip Detection and Correction by Means of Integrated Systems , 2000 .

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

[73]  Xin Xiang Jin,et al.  Relationship Between Satellite Elevation and Precision of GPS Code Observations , 1996, Journal of Navigation.

[74]  Jaewoo Jung,et al.  Optimization of Cascade Integer Resolution with Three Civil GPS Frequencies , 2000 .

[75]  M. Martín-Neira,et al.  The Null method applied to GNSS three-carrier phase ambiguity resolution , 2004 .

[76]  Shaowei Nan,et al.  Integrated method for instantaneous ambiguity resolution using new generation GPS receivers , 1996, Proceedings of Position, Location and Navigation Symposium - PLANS '96.

[77]  Peter Teunissen,et al.  Carrier Phase Integer Ambiguity Resolution , 2017 .

[78]  Richard B. Langley,et al.  An Optimized Least-Squares Technique for Improving Ambiguity Resolution and Computational Efficiency , 1999 .

[79]  Chris Rizos,et al.  A New Data Processing Strategy for Combined GPS/GLONASS Carrier Phase-Based Positioning , 1999 .

[80]  Naser El-Sheimy,et al.  An Expert Knowledge GPS/INS System for Mobile Mapping and GIS Applications , 2000 .

[81]  Andreas Wieser,et al.  Improved Positioning Accuracy with High-Sensitivity GNSS Receivers and SNR Aided Integrity Monitoring of Pseudo-Range Observations , 2005 .

[82]  Hasanuddin Z. Abidin,et al.  On the Construction of the Ambiguity Searching Space for On‐the‐Fly Ambiguity Resolution , 1993 .

[83]  M. Abdel-Salam,et al.  Precise point positioning using un-differenced code and carrier phase observations , 2005 .

[84]  Peter Teunissen,et al.  A theorem on maximizing the probability of correct integer estimation. , 1999 .

[85]  L. Mervart,et al.  Experience with SINEX Format and Proposals for its further Development , 1999 .

[86]  Yang Gao,et al.  Performance Analysis of Precise Point Positioning Using Rea-Time Orbit and Clock Products , 2004 .

[87]  Boonsap Witchayangkoon,et al.  Elements of GPS precise point positioning , 2000 .

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

[89]  P. Willis,et al.  High Precision Kinematic Positioning Using GPS at the IGN: Recent Results , 1990 .

[90]  Herbert Landau Zur Nutzung des Global Positioning Systems in Geodasie und Geodynamik : Modellbildung, Software-Entwicklung und Analyse , 1988 .

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

[92]  Erik W. Grafarend,et al.  GPS Solutions: Closed Forms, Critical and Special Configurations of P4P , 2002, GPS Solutions.

[93]  Lambert Wanninger,et al.  Virtual Reference Stations for Centimeter-Level Kinematic Positioning , 2002 .