with partial support from Lockheed Martin

Organizers:

Kai Borre	Aalborg Universitet	borre@kom.auc.dk
Gerard Lachapelle	University of Calgary	lachapel@ensu.ucalgary.ca
Brian Leininger	Lockheed Martin	brian.s.leininger@lmco.com
Fan Liu	Honeywell	liu_fan@htc.honeywell.com

Additional direction from:

Craig Poling	Lockheed Martin	craig.t.poling@lmco.com
Suneel Sheikh	Honeywell	sheikh@htc.honeywell.com

Description:

The Global Positioning System (GPS) utilizes triangulation and/or phase delays in continuous signals from a constellation of satellites in earth orbit to accurately locate a receiver antenna position relative to these satellites. GPS plays an important role in many navigation systems produced today, and is beginning to play an increasing role in providing accurate time signals for many industries. Applications include land surveying, autonomous vehicle control including the smart highway system, marine navigation, air traffic control, satellite navigation, and power signal time synchronization. With the addition of differential or relative signals, ultra-high precision GPS is capable of position accuracies on the order of a few centimeters.

There is a need for sophisticated algorithms for accurately and reliably processing the GPS signals for timing and navigation. Mathematics is of critical importance here. Areas of mathematics that are relevant include linear and non-linear algebra, signal processing and filtering, wave propagation, statistics, and scattering.

This workshop will focus on mathematical issues that arise in increasing the processing speed, accuracy and reliability of GPS. It will be an opportunity for the mathematical community to become more aware of these issues. Invited participants will be mathematicians, engineers and scientists from industry and from academia.

Among the principal topics considered will be:

• Problems with reflected signals (Multipath) with respect to pseudo-range data and integrated carrier data, their mathematical characterization and methods of addressing these problems

• Integrity of solutions of positioning algorithms

• Resolution of the phase ambiguity in position determination

• Global tomography, estimation of water content in the troposphere and the ionosphere

Additional topics: Antennas (beam pattern characterization and utilization, antenna shaping), Mathematical modeling of the GPS receiver, Avoidance of frequency jamming and/or interference, Use of dual and triple frequencies from GPS, GLONASS.

WORKSHOP SCHEDULE

Wednesday

Thursday

Friday

WEDNESDAY 16 AUGUST 2000 All Talks are in EE/CS 3-180 Unless otherwise noted.
8:30 am	Coffee and Registration	Reception Room EE/CS 3-176
9:10 am	Willard Miller, Fred Dulles, and Gérard Lachapelle	Welcome and Orientation
9:30 am	A. J. Van Dierendonck A. J. Systems/GPS Silicon Valley	Current GPS Constellation and Signal Structure Overview Material from talks
10:10 am	Gérard Lachapelle University of Calgary	Carrier Phase Measurements Characteristics and Utilization Overview (pdf)
10:30 am	Coffee	Reception Room EE/CS 3-176
10:50--11:50 am	A. J. Van Dierendonck A. J. Systems/GPS Silicon Valley	New Opportunities Using New Civil GPS Signals for Multipath Mitigation and Carrier Phase Ambiguity Resolution Material from talks
1:30 pm	James R. Clynch Naval Postgraduate School http://www.oc.nps.navy.mil/~jclynch	Real Time GPS Absolute Positioning Errors Talk    pdf    powerpoint
2:30 pm	Coffee	Reception Room EE/CS 3-176
2:50 pm	Mike Elgersma Honeywell Technology Center	Initial Solution of Pseudo-range Equations
3:50 pm	John Raquet Air Force Institute of Technology (and the University of Calgary)	Estimation of DGPS Carrier-Phase Errors Using a Receiver Network Talk    powerpoint
4:50 pm	Tea	400 Lind Hall
THURSDAY 17 AUGUST 2000 All Talks are in EE/CS 3-180 Unless otherwise noted.
8:45 am	Coffee	Reception Room EE/CS 3-176
9:00 am	Michael S. Braasch Ohio University	The Limiting Error in GPS/DGPS: MULTIPATH
10:00 am	M. Elizabeth Cannon University of Calgary	Characterization of Carrier Phase Multipath and Mitigation through the Use of Multiple Antennas Talk   pdf
11:00 am	Coffee	Reception Room EE/CS 3-176
11:20 am-12:20 pm	Ronald R. Hatch NavCom Technology	The GPS Carrier Phase Ambiguity Resolution Talk   pdf   powerpoint
2:00 pm	Robert J. Kelly Ohio University	The Linear Model in GPS Integrity Monitoring Talk
3:00 pm	Coffee	Reception Room EE/CS 3-176
3:20 pm	Gérard Lachapelle University of Calgary	Statistical Reliability Measures for GPS Talk    pdf
4:20 pm	Babak Azimi-Sadjadi and P. S. Krishnaprasad University of Maryland	Approximate Nonlinear Filtering for GPS Talk   pdf
-5:00-5:45 pm	Gil Strang (Leader) MIT	Discusion - Open Mathematical Issues
FRIDAY 18 AUGUST 2000 All Talks are in EE/CS 3-180 Unless otherwise noted.
8:45 am	Coffee	Reception Room EE/CS 3-176
9:00 am	Frank Natterer Universität Muenster	Possibilities and Limitations of Tomography Talk    pdf
10:00 am	Gunnar Elgered Chalmers University of Technology	Sensing the Temporal and Spatial Distribution of Atmospheric Water Vapor Using GPS Talk   pdf
11:00am	Coffee	Reception Room EE/CS 3-176
11:20am -12:20pm	Penina Axelrad University of Colorado	Retrieval of Ocean and Land Surface Characteristics Using Measurements of Reflected GPS Signals
2:00 pm	Oscar L. Colombo NASA Goddard Flight Center	Speeding Up Filter Convergence In High Preceission, Very Large Area Kinematic Navigartion
2:30 pm	Kai Borré Aalborg University	Discusion - Computational Aspects of Kalman Filtering of GPS Observations
3:00 pm	Coffee	Reception Room EE/CS 3-176
3:20-4:20 pm	Peter Teunissen TU Delft	Towards a Theory of GNSS Carrier-Phase Ambiguity Resolutions

Wednesday

Thursday

Friday

LIST OF CONFIRMED PARTICIPANTS

as of 8/15/2000

Name	Department	Affiliation
Penina Axelrad	Engineering-Aerospace (ECOT)	University of Colorado
Babak Azimi-Sadjadi	Institute for System Research	University of Maryland
Hamid Bellout	Mathematics	Northern Illinois University
Kai Borre		Aalborg Universitet
Michael Braasch	Electrical Eng. & Computer Science	Ohio University
Mats Brenner	Commercial Aviation Product	Honeywell Inc.
Curt Call	Commercial Avaiation Product	Honeywell, Inc.
M. Elizabeth Cannon	Geomatics Engineering	University of Calgary
James Clynch	Oceanography	Navy Postgraduate School
Oscar L. Colombo	Laboratory for Terrestrial Physics	NASA Goddard Space Flight Center
Jim Conner	Commercial Aviation Product	Honeywell, Inc.
Gunnar Elgered	School of Electrical and Computer Engineering	Chalmers University of Technology
Mike Elgersma		Honeywell Technology Center
Ron Hatch	ION Satellite	NavCom Technology, Inc
John Hoffman		Lockheed Martin
Robert Kelly		Ohio University
Jenny Kline	Mathematics	Washington & Jefferson College
Paul Kline	Commercial Aviation Product	Honeywell International
P.S. Krishnaprasad	Institute for Systems Research & EE	University of Maryland
Gerard Lachapelle	Geomatics Engineering	University of Calgary
Brian Leininger		Lockheed Martin
Fan Liu		Honeywell Inc.
Tim Murphy	Associate Technical Fellow - CNS/ATM Analysis	Boeing Commercial Airplanes Group
Frank Natterer	Institut fuer Numerische und instrumentelle Math	Universitaet Muenster
T. Craig Poling		Lockheed Martin
Thomas Posbergh	Aerospace Engineering and Mechanics	University of Minnesota
Maj. John F. Raquet		Air Force Institute of Technology
Gil Strang	Mathematics	MIT
Peter J.G. Teunissen		Technische Universiteit Delft
Paul Tupper	SCCM Program	Stanford University
A.J. Van Dierendonck		AJ Systems/GPS Silicon Valley
Tim Zajic		Lockheed Martin