MGDMPGNSS - Methods of GNSS positioning

Course specification
Type of study Master academic studies
Study programme
Course title Methods of GNSS positioning
Acronym Status Semester Number of classes ECTS
MGDMPGNSS mandatory 1 3L + 3E 7.0
Lecturer/Associate (practicals)
Prerequisite Form of prerequisites
None. None.
Learning objectives
Improving theoretical and practical knowledge acquired in the undergraduate level, in the wider field of Satellite geodesy, with the aim of a deeper understanding of positioning methods using satellite systems GPS, GLONASS and GALILEO.
Learning outcomes
Students have learned to apply GNSS technology for positioning purposes, using a variety of positioning models. They are familiar with the models of data processing and estimation of the accuracy of the obtained results.
Lectures: Introduction. Global navigation satellite systems GPS, GLONASS, GALILEO. The need for precise positioning. Spatial and time reference systems. Complete functional model of measured code and phase pseudoranges. Modeling the geometric distance between the receiver and the satellite. Modeling the state of satellite oscillators and receivers. Modeling the influence of general and special theory of relativity. Standard model of ionospheric refraction. Ionospheric maps. Functional model of linear combinations of single, double and triple differences. Functional model of frequency combinations of interest for precise positioning. Stochastic model of satellite GNSS measurements. Magnitude of individual sources of errors. Formalism of the least squares method. Methods for solving phase uncertainties at the level of double differences. Exercises: Calculating satellite positions based on navigation message data. Satellite velocity calculation based on navigation message data. Calculation of Alan variance. Calculating the influence of general and special theory of relativity. Calculation of ionospheric influence by a standard model. Calculation of tropospheric influences in the models SAASTAMOINEN and HOPFIELD. Forming a series of single, double and triple differences. Forming a series of frequency combinations IONO FREE, GEOMETRY FREE, WIDE LANE. Quantitative evaluation of individual sources of measurement errors. Solving phase uncertainties by LAMBDA method.
Teaching Methods
Theoretical lectures and practical exercises
  1. Seeber, G.: Satellitengeodaesie, Grundlagen, Methoden und Anwendungen. Walter de Gruyter, Berlin, New York, 1989. (Original title)
  2. HofmannWellenhof B.; Lichtenegger H.; Collins J.: Global Positioning System: Theory and Practice. Third revised edition, Springer Verlag, Wien New York, 1994. (Original title)
  3. Misra P.; Enge P.: Global Positioning System: Signals, Measurements and Performance. Ganga-Jamuna Press, Linkoln, Massachusetts, USA, 2001. (Original title)
  4. Mueller I.: Introduction to Satellite Geodesy. Frederick Ungar Publishing, New York, 1964. (Original title)
Evaluation and grading
Exercises. Final exam.