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Syllabus



Syllabus

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Topics


  • Coordinate systems on a deformable, non-spherical Earth. Concepts of latitude and longitude as determined by the direction of gravity (astronomical latitude and longitude) and as determined by the normal to an ellipsoidal shape (geodetic latitude and longitude). Relationships between coordinates; concepts of changes in the rotation of the Earth; rotations and translations between coordinate systems. Effects that need to be considered for different accuracy results and the accuracies that are achievable with GPS.
  • Principles of Navigation. Dead-reckoning, true and magnetic bearings; use of celestial bodies, use of secants for position fixes. Introduction to common map projections; uses of different map projections. Vector approach to spherical trigonometry.
  • Principles of GPS. Pseudorange and phase measurements. Spread spectrum signal structure; basic concepts of signal analysis. Contributions of pseudorange and phase (geometric positions, clock errors, propagation medium, cycles ambiguity for phase). Simple atmospheric and ionospheric delay models; use of dispersive properties of plasmas (ionosphere). Use of differencing techniques in the analysis of GPS data. Security systems on GPS satellites (selective availability and anti-spoofing) and their effects on navigation and precise positioning.
  • Estimation procedures; Stochastic and mathematical models; statistical descriptions of dynamic systems; propagation of covariance matrices least-squares estimation.
  • Examples of aircraft navigation using GPS (comparison with laser profiling); examination of real data to assess the limits of accuracy obtainable with GPS; applications in a variety of areas including precision farming; and intelligent vehicle navigation systems.


Texts


Amazon logo Wellenhof, B. Hofmann-, H. Lichtenegger, and J. Collins. Global Positioning System: Theory and Practice. New York, NY: Springer-Verlag, 1994. ISBN: 9783211825914.

Amazon logo Strang, G., and K. Borre. Linear Algebra, Geodesy, and GPS. Wellesley, MA: Wellesley-Cambridge Press, 1997. ISBN: 9780961408862.



Homework


It will be acceptable in this course to work together on homework with the aim of better understanding the material and to refer to other books and published material provided that these additional materials are cited appropriately in the homework. Each student should complete the homework separately. It is not acceptable to simply copy the homework of another student.



Grading



ACTIVITIESPERCENTAGES
Homework60%
Final Exam30%
Class Participation10%



Calendar



LEC #TOPICSKEY DATES
1Introduction and Coordinate Systems
2Latitude and Longitude Definition
3Height Definition
4Spherical Trigonometry
5Position Determination by Astronomical MethodsHomework 1 due
6Almanacs in Paper and Electronic Form
7Dead Reckoning and Sextants
8Review of Linear Algebra
9Sextant Measurements
10Map Projections
11Statistics and Propagation of Variance-covariance Matrices
12Least Squares Estimation
13Homework 2 SolutionHomework 2 due
14Correlations
15Electromagnetic Distance Measurement (EDM)
16Basics of GPS Pseudo Range
17Geometry of GPS Measurements and Accuracy
18GPS Carrier Phase Measurements
19Atmosphere Delay EffectsHomework 3 due
20Ionosphere and Dispersive GPS Delay Correction
21Satellite Orbit Representation and Sources of Information about Orbits
22

Basics of Hand Held GPS Receivers

Class Outside Using GPS

23Applications of GPS

 








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