Browse > Article

Performance Improvement of Wald Test for Resolving GPS Integer Ambiguity Using a Baseline-Length Constraint  

Lee Eun-Sung (Department of Aerospace Engineering, Kookuk University)
Chun Se-Bum (Department of Aerospace Engineering, Kookuk University)
Lee Young-Jae (Department of Aerospace Engineering, Kookuk University)
Kang Tea-Sam (Department of Aerospace Engineering, Kookuk University)
Jee Gyu-In (Department of Electronic Engineering, Kookuk University)
Abdel-Hafez Mamoun F. (American University of Sharjah)
Publication Information
International Journal of Control, Automation, and Systems / v.4, no.3, 2006 , pp. 333-343 More about this Journal
Abstract
In this paper, the baseline-length information is directly modeled as a measurement for the Wald test, which speeds up the resolution convergence of the integer ambiguity of GPS carrier phase measurements. The convergent speed improvement is demonstrated using numerical simulation and real experiments. It is also shown that the integer ambiguities can be resolved using only four actual satellite measurements with very reasonable convergence speed, if the baseline-length information is used just like one additional observable satellite measurement. Finally, it is shown that the improvement of convergence speed of the Wald test is due to the increase of the probability ratio with the use of the baseline-length constraint.
Keywords
Baseline-length constraint; integer ambiguity; multiple hypothesis Wald sequential probability test; real-time kinematics;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 J. D. Wolfe, W. R. Williamson, and J. L. Speyer, 'Hypothesis testing for resolving integer ambiguity in GPS,' Proc. of ION GPS-2001, pp. 1522-1531, September 2001
2 G. Lu, Development of a GPS Multi-Antenna System for Attitude Determination, Ph.D. Dissertation, Dept. of Geomatics Engineering, University of Calgary, Canada, December 1994
3 C. E. Cohen, Attitude Determination using GPS, Ph.D. Dissertation, Stanford University, 1992
4 G. Lachapelle, H. Sun, M. E. Cannon, and G. Lu, 'Precise aircraft-to-aircraft positioning using a multiple receiver configuration,' Canadian Aeronautics and Space Journal, vol. 40, no. 2, pp. 74-78, 1994
5 D. P. Malladi and J. L. Speyer, 'A generalized Shiryayev sequential probability ration test for change detection and isolation,' IEEE Trans. on Automatic Control, vol. 44, pp. 1522-1534, Aug. 1999   DOI   ScienceOn
6 M. F. Abdel-Hafez, Y. J. Lee, W. R. Williamson, J. D. Wolfe, and J. L. Speyer, 'A methodology for reducing the admissible hypotheses for GPS integer ambiguity resolution,' Proc. of ION GPS-2002, pp. 2788-2798, September 2002
7 F. van Graas and M. Braasch, 'GPS interferometric attitude and heading determination: Initial flight test results,' Navigation, vol. 38, no. 4, pp. 297-316, 1991   DOI
8 J. F. Raquet, 'Multiple reference GPS receiver multipath mitigation technique,' Proc. of ION Annual Meeting, pp. 681-690, 1996
9 A. Wald, Sequential Analysis, Wiley Mathematical Statistics Series, John Wiley and Sons, Inc., New York, 1947
10 P. J. G. Teunissen, 'GPS carrier phase ambiguity fixing concepts,' GPS for Geodesy, Chapter 8, pp. 319-388, 2nd Edition, Springer, 1998
11 S. M. Kay, Fundamentals of Statistical Signal Processing, Volume II, Detection Theory, Prentice Hall PTR, New Jersey, 1998