Evaluation of two integer ambiguity resolution methods for real time GPS positioning

The Global Positioning System (GPS) is a satellite-based navigation system which allows the user to determine position and time with high precision. However, phase measurements has an inherent difficulty, which is the ambiguity determination in number of signal wavelengths. Once ambiguities are resolved to an integer value, positioning can reach sub-meter level in accuracy. Sub-meter positioning accuracy is required in many applications, such as aircraft navigation and landing, attitude and orbit determination of satellites, navigating agricultural vehicles, among others applications. The purpose of this work is to evaluate performance of LSAST and LAMBDA methods for real time integer ambiguity resolution in situations of static and kinematic positioning. Position coordinates of a GPS receiver ("user") are estimated using data of another receiver placed on a landmark with known coordinates ("base"), using phase double difference positioning technique, and an iterated least-squares as float solution estimator. Positioning errors are shown with half meter level for static and less than meter level for kinematic positioning.

[1]  C. Lawson,et al.  Solving least squares problems , 1976, Classics in applied mathematics.

[2]  Per K. Enge,et al.  Global positioning system: signals, measurements, and performance [Book Review] , 2002, IEEE Aerospace and Electronic Systems Magazine.

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

[4]  G. Strang,et al.  Linear Algebra, Geodesy, and GPS , 1997 .

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

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

[7]  Per Enge,et al.  Global Positioning System: Theory and Applications, Volume II , 1996 .

[8]  Helio Koiti Kuga,et al.  Orbital maneuvers using low-thrust , 2009 .

[9]  Jim Hefferon,et al.  Linear Algebra , 2012 .

[10]  Majid Gholami,et al.  Time synchronizing signal by GPS satellites , 2008 .

[11]  Leandro Baroni,et al.  ANALYSIS OF NAVIGATIONAL ALGORITHMS FOR A REAL TIME DIFFERENTIAL GPS SYSTEM , 2005 .

[12]  Paula Cristiane Pinto Mesquita Pardal,et al.  Recursive least squares algorithms applied to satellite orbit determination, using GPS signals , 2009 .

[13]  A. Saalfeld,et al.  Generating basis sets of double differences , 1999 .

[14]  Guo-Shing Huang.  Control the vehicle flow via GPS monitor center , 2006 .

[15]  W. Greub.  Linear Algebra , 1981 .

[16]  G. Bierman.  Factorization methods for discrete sequential estimation , 1977 .

[17]  Bradford W. Parkinson,et al.  Global positioning system : theory and applications , 1996 .

[18]  C.C.J.M. Tiberius,et al.  Computational Aspects of the LAMBDA Method for GPS Ambiguity Resolution , 1996 .

[20]  P. D. Jonge,et al.  The LAMBDA method for integer ambiguity estimation: implementation aspects , 1996 .

[21]  He-Sheng Wang,et al.  A behavioral approach to GNSS positioning and DOP determination , 2008 .

[22]  P. Teunissen.  Least-squares estimation of the integer GPS ambiguities , 1993 .