This is an archived course. A more recent version may be available at ocw.mit.edu.

 

Lecture Notes

LEC # TOPICS NOTES, SUPPORTING FILES and LINKS
1 Overview of the aims of the class (PDF) Class introduction and content
U.S. Coast Guard Navigation Center
UNAVCO
SCIGN Data Portal | REASoN: Data Products
2 Coordinate and time systems (PDF) Introduction to coordinate system definition and realization concentrating on geometric definitions
SCO Web: Control Networks
National Geodetic Survey
3 Potential fields and coordinate systems (PDF) Potential fields and coordinate systems. We also used some MATLAB scripts in this lecture. The two program are Harmonics.m (M), which plots low order harmonics and Sectorials.m (M), which plots high order sectorial harmonics.
Legendre Polynomial
4 Coordinate types (PDF) Coordinate systems, rotation of the Earth, Geoid, Spherical trigonometry
International Earth Rotation and Reference Systems Service
Modeling of Nutation-Precession: Very long baseline interferometry results (PDF)
Computation of Geoid99 Geoid Height
Spherical Trigonometry
5 GPS satellite orbits (PDF) GPS satellite orbits. The MATLAB program to compute eccentic and true anomalies is truea.m (M).
Interface Control Document (ICD 200c)
The GPS interface control document (PDF)
Unclassified (PDF - 1.7 MB)
6 GPS observables (PDF) Start analysis of GPS observables in form of carrier phase
7 Specifics of GPS signal (PDF) GPS codes on signals
8 Pseudorange measurements (PDF) Pseudorange and phase measurements. The data file displayed in class is etab.plt.dat (TXT).
TEQC — The Toolkit for GPS/GLONASS/Galileo/SBAS Data
RINEX: The Receiver Independent Exchange Format Version 2 (TXT)
9 Range and phase data (PDF) The data files displayed in class are ASCII tab delimited files: etab.02tab (TXT) etab.07tab (TXT) etab.11tab (TXT) etab.26tab (TXT) etab.28tab (TXT)
The following files are based on 2008 homework: data from base station with approximate XYZ coordinates
-2197259.2644 -4811601.7696 3552341.4441 (m)
Each file has a header line with column titles. All range and phase units are meters except as noted where range differences have been converted to L1 cycles.
base.02 (TXT) base.04 (TXT) base.05 (TXT) base.09 (TXT) base.12 (TXT) base.17 (TXT) base.28 (TXT) base.29 (TXT)
(Hint: If you want to check Homework #1, then compute the range to the satellite can compare with theoretical value in the etab.xxtab files.) The site coordinates are in the rinex header shown in Lecture 8.
Sources of GPS data (main archives)
SOPAC
CDDIS
NGS/CORS
UNAVCO
10 Estimation: introduction (PDF) Start estimation looking a parametric estimation methods
Data Analysis for Process Modeling
Least Squares Parameter Estimation (Regression Analysis)
11 Statistical approach to estimation (PDF) Continue estimation now examining it from a statistical point of view
12 Estimation: correlations (PDF) Statistical description of process noise in parameter values. The MATLAB program fogm.m (M) generates first-order Gauss Markov processes. (Note since the random number generator is not initialized, your results will differ from those in the class notes (Signal processing tool box is needed for the PSD calculation).
13 Estimation (PDF) Kalman filter approach to estimation
14 Propagation medium: propagation (PDF) Timing in GPS. Examine clock estimation.
Index of /~tah/MITClk
IGS Clock Products Working Group
IGS Time Scale
15 Propagation medium: neutral atmosphere (PDF) Tropospheric delay estimation
The Height of the Tropopause
Effects of Tropospheric Mapping Functions on Space Geodetic Data (This resource may not render correctly in a screen reader.PDF - 1.0 MB)
Vienna Mapping Functions 1 VMF1
16 Propagation: ionospheric delay (PDF) Ionospheric delays
Sunspot Number Data via FTP from NGDC
Sunspot Numbers
17 Basic antenna operation (PDF) Antennas and calibrations
GPS Antenna Calibration
AOAD/M_T Choke Ring GPS Antenna
SNR Analysis package
18 Mathematical models in GPS (PDF) Class starts development of mathematical models needed for precise GPS positioning. In this class we look at solid-Earth tides, ocean-tidal loading and other types of loading effects. The following Fortran source code was discussed in the lecture earth_tide.f (F) and gst_jd.f (F). For a complete bibliography of tidal effects see: International Center for Earth Tides
19 GPS models and processing (PDF) Models: rank deficiencies, ambiguity resolution and differencing methods
20 Processing software (PDF) Processing software:
GAMIT-GLOBK
GAMIT GLOBK Course
Power Point slides from GAMIT/GLOBK Workshops, Sofia and Pamplona
GAMIT/GLOBK Web Tutorial
21 GPS groups/IGS (PDF)

GPS data availability and site locations
UNAVCO
International GNSS Service
International GNSS Service - All world map (PNG)

Networks
SCIGN
UNAVCO
NGS/CORS
Bay Area Regional Deformation Network
Pacific Northwest Geodetic Array
Geodynamics
Basin and Range Geodetic Network

Results
Permanent GPS Site Arrays
GPS Time Series
Daily SCIGN GPS Analysis - USGS Pasadena

22 Kinematic GPS (PDF) Kinematic GPS processing and results from experiment earlier in semester
Help file for GAMIT track program
Results from MIT survey
track_LC.out (TXT)
track.NEU.rovr.LC (TXT)
track.NEU.rovr.L1+L2 (TXT)
23 Application areas and GPS results (PDF - 7.0 MB)  
24 Applications and examples (PDF - 7.1 MB) Lectures 23 and 24 cover applications to tectonic problems
Tools mentioned in last lecture and used to generate some of the figures.
GAMIT/GLOBK MATLAB Tools