When you click the Amazon logo to the left of any citation and purchase the book (or other media) from Amazon.com, MIT OpenCourseWare will receive up to 10% of this purchase and any other purchases you make during that visit. This will not increase the cost of your purchase. Links provided are to the US Amazon site, but you can also support OCW through Amazon sites in other regions. Learn more. 
Topics

Coordinate systems on a deformable, nonspherical 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. Deadreckoning, 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 antispoofing) and their effects on navigation and precise positioning.

Estimation procedures; Stochastic and mathematical models; statistical descriptions of dynamic systems; propagation of covariance matrices leastsquares 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
Wellenhof, B. Hofmann, H. Lichtenegger, and J. Collins. Global Positioning System: Theory and Practice. New York, NY: SpringerVerlag, 1994. ISBN: 9783211825914.
Strang, G., and K. Borre. Linear Algebra, Geodesy, and GPS. Wellesley, MA: WellesleyCambridge 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
Grading criteria.
ACTIVITIES 
PERCENTAGES 
Homework 
60% 
Final Exam 
30% 
Class Participation 
10% 
Calendar
Course calendar.
LEC # 
TOPICS 
KEY DATES 
1 
Introduction and Coordinate Systems 

2 
Latitude and Longitude Definition 

3 
Height Definition 

4 
Spherical Trigonometry 

5 
Position Determination by Astronomical Methods 
Homework 1 due 
6 
Almanacs in Paper and Electronic Form 

7 
Dead Reckoning and Sextants 

8 
Review of Linear Algebra 

9 
Sextant Measurements 

10 
Map Projections 

11 
Statistics and Propagation of Variancecovariance Matrices 

12 
Least Squares Estimation 

13 
Homework 2 Solution 
Homework 2 due 
14 
Correlations 

15 
Electromagnetic Distance Measurement (EDM) 

16 
Basics of GPS Pseudo Range 

17 
Geometry of GPS Measurements and Accuracy 

18 
GPS Carrier Phase Measurements 

19 
Atmosphere Delay Effects 
Homework 3 due 
20 
Ionosphere and Dispersive GPS Delay Correction 

21 
Satellite Orbit Representation and Sources of Information about Orbits 

22 
Basics of Hand Held GPS Receivers
Class Outside Using GPS


23 
Applications of GPS 
