|Performance Improvement of Wald Test for Resolving GPS Integer Ambiguity Using a Baseline-Length Constraint
Eunsung Lee, Sebum Chun, Young Jae Lee*, Teasam Kang, Gyu-In Jee, and Mamoun F. Abdel-Hafez
International Journal of Control, Automation, and Systems, vol. 4, no. 3, pp.333-343, 2006
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.
Baseline-length constraint, integer ambiguity, multiple hypothesis Wald sequential probability test, real-time kinematics.