Leveling by GPS Relative Positioning with Carrier Phases
Publication: Journal of Surveying Engineering
Volume 122, Issue 4
Abstract
The successful processing of baseline vectors is an essential step toward the application of GPS surveying techniques to leveling. When carrier phase observables are used, the double-difference integer phase ambiguity parameters must be correctly resolved. It is described how the phase ambiguities are resolved with ionospheric-free signals using standard procedures. With the dual-frequency phase data from satellite surveying in rapid static mode baseline vectors of up to 26 km can be solved. A standard deviation in the vertical component of about 2.5 cm can usually be expected for a baseline length of less than 10 km. The accuracy of the height determination by means of GPS relative positioning is then verified. Precise leveling was conducted over the same period of time, in two campaigns. Nine vertical control points with known orthometric heights were used to fit a geoid model to a region of 20 km by 10 km. Orthometric heights were checked at other 17 points in the project area, resulting in a root mean square error of 2.2 cm. This accuracy compares favorably with the general standards specified for second-order (class II) leveling.
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References
1.
Ashkenazi, V., and Yau, J.(1986). “Significance of discrepancies in the processing of GPS data with different algorithms.”Bulletin Géodésique, 60(3), 229–239.
2.
Counselman, C. C. III, and Abbot, R. I. (1989). “Method of resolving radio phase ambiguity in satellite orbit determination.”J. Geophys. Res., 94(B6), 7058–7064.
3.
Dong, D. N., and Bock, Y. (1989). “Global Positioning System network analysis with phase ambiguity resolution applied to crustal deformation studies in California.”J. Geophys. Res., 94(B4), 3949–3966.
4.
Finn, A., and Matthewman, J.(1989). “A single frequency ionospheric refraction correction algorithm for Transit and GPS.”Proc., 5th Int. Geodetic Symp. on Satellite Positioning, New Mexico State Univ., Las Cruces, N.M., 2, 737–756.
5.
Frei, E., and Beutler, G.(1990). “Rapid static positioning based on the fast ambiguity resolution approach `FARA': theory and first results.”Manuscripta Geodaetica, 15(6), 325–356.
6.
Greenspan, R. L., and Donna, J. I.(1986). “Measurement errors in GPS observables.”Navigation, 33(4), 319–334.
7.
Gurtner, W., Mader, G., and MacArther, D.(1989). “A common exchange format for GPS data.”Proc., 5th Int. Geodetic Symp. on Satellite Positioning, New Mexico State Univ., Las Cruces, N.M., 2, 920–931.
8.
Hofmann-Wellenhof, B., Lichtenegger, H., and Collins, J. (1992). Global positioning system theory and practice. Springer-Verlag Wien, New York, N.Y.
9.
Interface Control Document ICD-GPS-200. (1987). Rockwell International Corp., Downey, Calif., 66–86.
10.
Janes, H. W., Langley, R. B., and Newby, S. P.(1991). “Analysis of tropospheric delay prediction models: comparisons with ray-tracing and implications for GPS relative positioning.”Bulletin Géodésique, 65(3), 151–161.
11.
Klobuchar, J. A.(1991). “Ionospheric effects on GPS.”GPS World, 2(4), 48–51.
12.
Leick, A. (1995). GPS satellite surveying . John Wiley and Sons, Inc., New York, N.Y.
13.
Mader, G. L. (1992). “Rapid static and kinematic Global Positioning System solutions using the ambiguity function technique.”J. Geophys. Res., 97(B3), 3271–3283.
14.
Remondi, B. W.(1991). “Pseudo-kinematic GPS results using the ambiguity function method.”Navigation, 38(1), 17–36.
15.
Remondi, B. W., and Hofmann-Wellenhof, B. (1989). “GPS broadcast orbits versus precise orbits: a comparison study.”Proc., Int. Assoc. of Geodesy Symp. 102 on Global Positioning System: An Overview, Springer-Verlag, New York, N.Y., 203–217.
16.
Schwarz, K. P., Sideris, M. G., and Forsberg, R.(1987). “Orthometric heights without leveling.”J. Surveying Engrg., 113(1), 28–40.
17.
Zilkoski, D. B., and Hothem, L. D.(1989). “GPS satellite surveys and vertical control.”J. Surveying Engrg., 115(2), 262–281.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Nov 1, 1996
Published in print: Nov 1996
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