Department of Mathematics
Numerical computations for GPS based position estimation
Xiao-Wen Chang
School of Computer Science, McGill University, Canada
It is now possible to find where you are. The measurements of position come from GPS (the Global Positioning System). GPS is a satellite based navigation system, which transmits signals that allow one to determine the location of GPS receivers. In this talk, it will be shown how numerical linear algebra techniques can be applied to this interesting area. I will use relative positioning (two receivers are used) as an example to show how to use the structures of the mathematical model to design an efficient and numerically reliable least squares algorithm for computing the position estimates. Real data test results will be presented to demonstrate the performance of our algorithm. This is a joint work with Professor Chris Paige.
All interested persons are welcome.