Differential Navigation

Lecturer (assistant)
  • Christoph Günther [L]
  • Patrick Henkel
  • Patrick Henkel
Duration4 SWS
TermSommersemester 2023
Language of instructionEnglish


Admission information

See TUMonline
Note: Registration by student at TUM-online


* Differential GPS and GNSS * Carrier smoothing * Ground Based Augmentation Systems (GBAS) * Space Based Augmentation Systems (SBAS) * Receiver Autonomous Integrity Monitoring (RAIM) * Integrity * Carrier phase ambiguity resolution


* General: Linear algebra, vector calculus, complex numbers, trigonometry, differential calculus, Gaussian distribution * Geometry: law of sines, cosines, ... * Elementary calculus: integration * Elementary understanding of Eigenvalue Problems

Teaching and learning methods

The following media will be used: - Blackboard, mainly used for mathematical derivations and graphical sketches - Powerpoint slides, mainly for summarizing the blackboard notations and for self-learning, also available at moodle - Tutorials with solutions, available at moodle - Book chapter, especially for learning the subject, available at moodle - Matlab-code examples, for visualizing the algorithms


The examination includes a midterm and a final exam. The midterm exam contributes 25 % and the final exam 75 % to the final grade if the midterm grade is better than the final grade; otherwise the final exam counts for 100 % and the midterm is simply disregarded. Consequently, the midterm is a unique opportunity to improve your own grade and to check your own knowledge. You are allowed to bring 8 handwritten DIN A4 pages and a pocket calculator to the exam.

Recommended literature

[MisEng04] P. Misra and P. Enge (2004), Global Positioning System: Signals, Measurements, and Performance, Ganga-Jamuna Press. [Kapl96] E. Kaplan and C. Hegarty (1996), Understanding GPS: Principles and Applications, Artech House. [ParSpi96] B.W. Parkinson and J.J. Spilker Jr. (1996), Global Positioning System: Theory and Applications Vol. I/II, American Institute of Aeronautics and Astronautics. [TeuKle98] P.J.G. Teunissen and A. Kleusberg (1998), GPS for Geodesy, Springer.