Dual-space Ambiguity Resolution Approach Theory and Application

Guorong Yu, Jingnan Liu

GPS Engineering Research Center, Wuhan University.

DOI:                 

Abstract

In real time kinematic (RTK) GPS positioning the reference station(s) is (are) static, and the moving receivers must not be far from the reference station(s). But in some cases, such as formation flying, satellite-tosatelliteorbit determination, etc, it is difficult to establish a static reference station. GPS kinematic-to-kinematic positioning (KINRTK) will meet such requirements. The key work of ambiguity resolution for KINRTK is to obtain an ambiguity float solution rapidly. The float solution can be estimated using either the “Geometrybased”(GB) or “Geometry-free”(GF) approach, requiring the construction of a “GB” or “GF” ambiguity search space. These two spaces are different but have the same true integer ambiguity result. Searching in two spaces at the same time, referred to here as Dual-space Ambiguity Resolution Approach (DARA), will be faster than in the individual spaces because only a few ambiguity candidates meet the conditions of both spaces simultaneously. It can be shown that DARA can dramatically reduce ambiguity candidates even if the C/A-code pseudo-range observables are used. The results of a vehicle test confirm that our approach is promising, resulting in millimeter-level misclosure of the KINRTK run.

Keywords

GPS, Ambiguity Resolution, RTK

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Hermann, B.R., Evans. A.G., Law. C.S., et al. (1995). Kinematic on the fly GPS Positioning Relative to a Moving reference. NAVIGATION: Journal of the Institute of Navigation, 42(3): 487-501.
[2]	Kawano, I., Mokuno, M., Kasai, T., et al. (2001) First Autonomous Rendezvous Using Relative GPS Navigation By ETS_VII. NAVIGATION: Journal of the Institute of Navigation, 48(1): 49-56.
[3]	Chen, D., Lachepelle, G., (1995) A Comparison of The FASF and Least Squares Search Algorithms For On-The-Fly Ambiguity Resolution. NAVIGATION: Journal of the Institute of Navigation, 42(2): 371-390.
[4]	Frei, E., Beutler, G., (1990) Rapid Static Positioning Based On The Fast Ambiguity Resolution Approach “FARA”: Theory and First Results. Manuscripta Geodaetica, 15(6): 325-356.
[5]	Teunissen, P.J.G., (1995) The Least-squares Ambiguity Decorrelation Adjustment: A Method for GPS Integer Ambiguity Estimation. Journal of Geodesy. 70(1-2): 65-82.
[6]	Teunissen, P.J.G., (1997) GPS Double Difference Statistics: With and Without Using Satellite Geometry. Journal of Geodesy, 71(3): 137-148.
[7]	Euler, H. J., and Goad, C.C., (1991) On Optimal Filtering of GPS Dual Frequency Observations Without Using Orbit Information. Bull.Geod, 63(2): 130-143.
[8]	Hatch, R., (1982) The Synergism of GPS Code and Carrier Measurements. In Proceedings of the Third International Geodetic Symposium on Satellite Doppler Positioning,MA, Las Cruces, New Mexico, 1213–1232.
[9]	Horemu? M., and Sjoberg, L.E., (2002) Rapid GPS Ambiguity Resolution For Short And Long Baselines[J]. Journal of Geodesy, 76(6-7), 381-391.
[10]	Sjoberg, L.E.,(1998) A new method for GPS phase base ambiguity resolution by combined phase and code observables. Surv Review, 34(268): 363-372.
[11]	Kleusberg, A., (1986). Ionospheric Propagation Effects In Geodetic Relative GPS Positioning.
[12]	Manuscripta Geodaetica, Vol.11, No.4, 256-261.
[13]	Leick, A., (1995) GPS Satellite Surveying, second edition John wiley & sons.inc. New York, 560pages.
[14]	Han, S., and Rizos, C., (1996) Improving the computational efficiency of the ambiguity function algorithm. Journal of Geodesy, 70(6): 330-341.
[15]	Teunissen, P.J.G., (1995) The invertible GPS ambiguity transformations. Manuscripta geodaetica, 20(6): 489-497.