A Recursive Least Squares Approach For Carrier Phase Based Positioning

Xiao-Wen Chang, Christopher C. Paige and Liang Qiu

Abstract:	In this paper a recursive least squares technique is used for carrier phase based GPS positioning. It is based on single differenced carrier phase measurement equa- tions. We take full account of the structure of the problem to make our algorithm efficient, and use or- thogonal transformation techniques to ensure that the computation is numerically reliable. Our algorithm usually converges slightly faster than the van Graas and Lee algorithm [12], which uses the so-called com- plementary Kalman filter technique. A significant dif- ference between the two algorithms is that ours is more amenable to analysis, and requires less computation in each epoch. We also think it is simpler to understand and implement. We argue that such numerically stable implementa- tions of the recursive least squares approach applied to single differenced carrier phase measurements pro- vide the most effective tools for this class of problems.
Published in:	Proceedings of the 14th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2001) September 11 - 14, 2001 Salt Palace Convention Center Salt Lake City, UT
Pages:	1039 - 1047
Cite this article:	Chang, Xiao-Wen, Paige, Christopher C., Qiu, Liang, "A Recursive Least Squares Approach For Carrier Phase Based Positioning," Proceedings of the 14th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GPS 2001), Salt Lake City, UT, September 2001, pp. 1039-1047.
Full Paper:	ION Members/Non-Members: 1 Download Credit Sign In