Abstract
A method based on multi-antennae linked to a common GPS receiver is proposed. The goal of the technique is to improve height determination for baselines a few kilometres in length. The advantage of this technique resides in the elimination of relative clock parameters in the “between-antenna” single difference observations. Because single difference observations are free of clock errors more geometrical strength remains to determine the baseline components. This statement is valid as long as intercable biases can be carefully calibrated. For millimetre height determination, the intercable calibration must be done at the same level of accuracy. Under this assumption it is shown that in general the height standard deviation improves by a factor of about three compared to standard GPS data processing. With the proposed method, the effect of relative tropospheric zenith delay errors becomes a bit smaller (in absolute value), compared to standard data processing. To absorb this error, a relative tropospheric zenith delay parameter may be estimated. Even with this additional parameter in the solution the height standard deviation remains two times smaller than the results of standard processing techniques (without tropospheric zenith delay parameter), and at least five times smaller than in the results obtained from standard processing including one tropospheric zenith delay parameter.
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References
Beutler G (1992) The 1992 activities of the International GPS Geodynamics Service (IGS). Geodesy and Physics of the Earth, IAG Symposium No. 112, Potsdam, Germany, 5–10 October, in press
Beutler G, Bauersima I, Gurtner W, Rothacher M, Schildknecht T, Geiger A (1988) Atmospheric refraction and other important biases in GPS carrier phase observations. Atmospheric Effects on Geodetic Space Measurements, School of Surveying Monograph No. 12, University of New South Wales, Kensington, Australia, pp 15–43
DeLoach SR (1989) Continuous deformation monitoring with GPS. Journal of Surveying Engineering 115(1): 93–110
Frei E, Beutler G (1990) Rapid static positioning based on the fast ambiguity resolution approach FARA: Theory and first results. Manuscripta Geodaetica 15: 325–356
Geiger A (1990) Influence of phase centre variations on the combination of different antenna types. Proceedings of the Second International Symposium on Precise Positioning with the Global Positioning System, Ottawa, Canada, 3–7 September, pp 466–476
Geiger A (1988) Simulating disturbances in GPS by continuous satellite distribution. Journal of Surveying Engineering 114(4): 182–194
Georgiadou Y (1990) Ionospheric delay modelling for GPS relative positioning. Proceedings of the Second International Symposium on Precise Positioning with the Global Positioning System, Ottawa, Canada, 3–7 September, pp 403–410
Georgiadou Y, Kleusberg A (1988) On carrier signal multipath effects in relative GPS positioning. Manuscripta Geodaetica 13: 172–179
Gurtner W, Beutler G, Botton S, Rothacher M, Geiger A, Kahle H-G, Schneider D, Wiget A (1989) The use of Global Positioning System in mountainous areas. Manuscripta Geodaetica 14: 53–60
Jurgens RD, Rodgers CE (1991) Advances in GPS attitude determining technology as developed for the strategic defense command. Proceedings of the Institute of Navigation GPS-91, Albuquerque, New Mexico, U.S.A., 11–13 September, pp 991–999
Logan RT, Lutes GF, Maleki L (1990) Microwave analog fiber-optic link for use in the Deep Space Network. Jet Propulsion Laboratory, Telecommunications and Data Acquisition Progress Report 42–100, pp 21–33
Primas L, Logan RT, Lutes GF, Maleki L (1990) Distribution of ultrastable reference frequency signals over fiber optic cable. IEEE Microwave Theory and Technics MTT-S Digest, pp 241–244
Qin X, Gourevitch S, Ferguson K, Kuhl M, Ladd J (1992) Dynamic short baseline calibration and attitude determination using Ashtech 3DF system. Proceedings of the Sixth International Geodetic Symposium on Satellite Positioning, Columbus, U.S.A., 17–20 March, pp 190–199
Remondi BW, Hofmann-Wellenhof B (1989) GPS broadcast orbits versus precise orbits: A comparison study. Global Positioning System: An overview, IAG Symposium No. 102, Edinburgh, Scotland, 7–8 August, pp 203–217
Rocken C, Meertens C (1991) Monitoring selective availability dither frequencies and their effect on GPS data. Bulletin Géodésique 65(3): 162–169
Rothacher M, Beutler G, Gurtner W, Schildknecht T, Wild U (1991) Documentation for Bernese GPS software version 3.3. Astrnomical Institute, University of Berne, Switzerland, May
Santerre R (1991) Impact of GPS satellite sky distribution. Manuscripta Geodaetica 16(1): 28–53
Santerre R, Lavoie M (1991) Propagation of GPS errors for ambiguities-fixed and ambiguities-free solutions. Paper presented at the International Union of Geodesy and Geophysics XX General Assembly, Vienna, Austria, 12–23 August, 20 p
Santerre R, Beutler G, Geiger A (1990) GPS error analysis and modelling. Proceedings of the Second International Symposium on Precise Positioning with the Global Positioning System, Ottawa, Canada, 3–7 September, pp 356–372
Santerre R (1989) GPS satellite sky distribution: Impact on the propagation of some important errors in precise relative positioning. Ph.D. dissertation, Department of Surveying Engineering Technical Report No. 145, University of New Brunswick, Fredericton, Canada, 220 p
Santerre R (1988) DIPOP 2.0: Structure, modifications and user guide. Department of Surveying Engineering Technical Memorandum No. 20, University of New Brunswick, Fredericton, Canada
Schreiner WS (1990) A covariance study for orbit accuracy improvement of the GPS satellites using fiber optics tracking. Proceedings of the (U.S.) Institute of Navigation ION GPS-90, Colorado Springs, U.S.A., 19–21 September, pp 563–568
Sjöberg LE (1992) Systematic tropospheric error in geodetic positioning with the global positioning system. Manuscripta Geodaetica 17: 201–209
Thomas JB (1988) Functional description of signal processing in the Rogue GPS receiver. Jet Propulsion Laboratory Publication 88-15, June
Tolman BW, Clynch JR, Coco DS, Leach MP (1990) The effect of selective availability on differential GPS positioning. Proceedings of the (U.S.) Institute of Navigation ION GPS-90, Colorado Springs, U.S.A., 19–21 September, pp 579–586
Tranquilla JM, Colpitts BG (1989) GPS antenna design characteristics for high-precision applications. Journal of Surveying Engineering 115(1): 2–14
Wild U, Beutler G, Gurtner W, Rothacher M (1989) Estimating the ionosphere using one or more dual frequency GPS receivers. Proceedings of the Fifth International Geodetic Symposium on Satellite Positioning, Las Cruces, U.S.A., 13–17 March, pp 724–736
Young AC (1991) The use of optical fibres in radioastronomy. Radio Interferometry: Theory, Techniques and Applications, IAU Coll. 131, Astronomical Society Pacific Conference Series, Vol. 19, TJ Cornwell and RA Perley (eds.), pp 33–41
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Santerre, R., Beutler, G. A proposed GPS method with multi-antennae and single receiver. Bulletin Géodésique 67, 210–223 (1993). https://doi.org/10.1007/BF00806250
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DOI: https://doi.org/10.1007/BF00806250