Noniterative Method of Solving the GPS Double-Differenced Pseudorange Equations
Publication: Journal of Surveying Engineering
Volume 131, Issue 4
Abstract
The global positioning system (GPS) is a constellation of 24 navigation satellites developed and deployed by the U.S. Department of Defense to provide worldwide real-time positioning capability to its numerous users around the globe. When two or more GPS receivers operate simultaneously, the use of differential GPS positioning has been widely adopted in many engineering applications to improve the positioning accuracy by reducing common errors contained in the concurrent GPS signals. The currently adopted approach to solve the GPS double-differenced pseudorange equations is based on the least-squares principle and requires the use of an iterative procedure. In this study, an algebraic, direct solution of the double-differenced pseudorange equations is introduced. It is demonstrated by experimental data that this noniterative method provides highly compatible positioning results with the traditional least-squares approach.
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Acknowledgments
The writer is greatly indebted to Dr. C. D. Chadwell of the Marine Physical Laboratory, Scripps Institution of Oceanography, University of California at San Diego, for providing the test data. Special thanks are extended to Dr. C. C. Goad of Topcon Positioning Systems, Inc., and Prof. Alfred Leick of the University of Maine for valuable discussions on the subject. This study was supported in part by the National Science Council, R.O.C., under grant NSC93-2211-E-006-064.
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Published In
Journal of Surveying Engineering
Volume 131 • Issue 4 • November 2005
Pages: 130 - 134
Copyright
© 2005 ASCE.
History
Received: Oct 16, 2002
Accepted: Apr 25, 2003
Published online: Nov 1, 2005
Published in print: Nov 2005
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