Title :
The GPS filtering problem
Author :
Chaffee, James W. ; Abel, Jonathan S.
Author_Institution :
SAIC, San Diego, CA, USA
Abstract :
The authors explore the possibility of both improved navigation accuracy and computational simplification by using nonlinear filters based on direct solutions to the GPS (Global Positioning System) equations. After reviewing results concerning the existence of sufficient statistics for the nonlinear GPS filtering problem, they introduce the notion of a two-stage estimator in which a direct solution is combined with a time-series smoothing algorithm, such as a constant-gain Kalman filter. This method provides a means for decoupling, in a sense, the spatial and temporal aspects of the GPS filtering problem. Experiments using real data suggest that the method has advantages over the extended filter, in terms of both computational burden and accuracy
Keywords :
Kalman filters; filtering and prediction theory; radionavigation; satellite relay systems; stochastic systems; GPS equations; Global Positioning System; computational burden; constant-gain Kalman filter; direct solution; navigation accuracy; nonlinear GPS filtering; spatial aspects; statistics; stochastic systems; temporal aspects; time-series smoothing algorithm; two-stage estimator; Filtering theory; Global Positioning System; Navigation; Nonlinear equations; Nonlinear filters; Nonlinear systems; Recursive estimation; Smoothing methods; State estimation; Statistics;
Conference_Titel :
Position Location and Navigation Symposium, 1992. Record. 500 Years After Columbus - Navigation Challenges of Tomorrow. IEEE PLANS '92., IEEE
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0468-3
DOI :
10.1109/PLANS.1992.185813