Datum Definition in the Long Range Instantaneous RTK GPS Network Solution

Abstract

This paper presents the multiple reference station approach to wide area (and regional) instantaneous RTK GPS, implemented in the MPGPSTM (Multi Purpose GPS Processing Software) software, developed at the Ohio State University. A weighted free-net approach (WFN) was applied in the instantaneous RTK software module, which enabled optimal estimation of the rover coordinates, properly reflecting the accuracies of the observations and the coordinates of the CORS stations. The effect of using the distance-dependent weighting scheme in the WFN approach on the final rover solution is analyzed. The influence of the different weights was studied by introducing the distance-dependent weights as a function of the CORS station separation L to the rover (1/L2). The results show that almost 100% of the differences between the computed horizontal rover coordinates and the known reference coordinates are below a decimeter, and 95% of the differences in the vertical coordinate are below 20 cm, when using the suggested approach. In addition, the accuracy analysis of two other solutions, with different datum definition (minimum constraint and over-constrained), is presented. This analysis verifies the suitability of the stochastic models used in the RTK module and the rigorous approach, taking into account inter-baseline correlation as well as the correlation in-between each baseline component.

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I. Kashani, P. Wielgosz and D. Grejner-Brzezinska, "Datum Definition in the Long Range Instantaneous RTK GPS Network Solution," Positioning, Vol. 1 No. 5, 2003, pp. -.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Cannon, M.E., G. Lachapelle, P. Alves, L.P. Fortes and B. Townsend (2001) GPS RTK Positioning Using a Regional Reference Network: Theory and Results, Proceedings of 5th GNSS International Symposium, Seville, May 8-11.
[2] Chen, H.Y. (2000) An instantaneous ambiguity resolution procedure suitable for medium-scale GPS reference station networks, 13th Int. Tech. Meeting of the Satellite Division of the U.S. Inst. of Navigation, Salt Lake City, Utah, 19-22 September, pp. 1061-1070.
[3] Dai, L., J. Wang, C. Rizos and S. Han (2001) Real-time carrier phase ambiguity resolution for GPS/GLONASS reference station networks, Int. Symp. on Kinematic Systems in Geodesy, Geomatics & Navigation (KIS2001), Banff, Canada, 5-8 June, p. 475-481.
[4] El-Rabbany, A.E. (2003) Effect of Temporal Physical Correlation on Accuracy Estimation in GPS Relative Positioning, Journal of Surveying Engineering, Vol. 129, No. 1, pp. 28-32.
[5] Fritsch, D. and B. Schafrin (1982) The “Choice of Norn” Problem for the Free Net Adjustment with Orientation Parameters, Boll. Geod. Sci. Aff., Vol. 41, pp. 259-282.
[6] Howind, J., H. Kutter and B. Heck (1999) Impact of temporal correlation on GPS-derived relative point positions, Journal of Geodesy, 73, pp. 246-258.
[7] IAG SSG 1.179, Wide area modeling for precise satellite positioning, Terms of Reference. http://www.gfy.ku.dk/~iag/HB2000/part3/Sec1.htm, last accessed in 2003.
[8] Kashani, I., (2002) Geodetic control networks in the era of permanent GPS stations, Ph.D thesis, Technion - Israel Institute of Technology, 165p.
[9] Kashani, I., P. Wielgosz and D. Grejner-Brzezinska (2003) Free Net Adjustment in Multi Reference Stations Approach for Instantaneous RTK, Proceedings, ION GPS/GNSS, Sept 9-12, Portland, Oregon, pp. 1390-1396.
[10] Koch, K.R. (1999) Parameter Estimation and Hypothesis Testing in Linear Models, Springer Verlag, Berlin Heidelberg New York, 333p.
[11] Marel, H. van der (1998) Virtual GPS reference stations in The Netherlands, Proc. of the 11th International Technical Meeting, Algorithms and Methods ION-GPS '98, Nashville, USA, 15-18 September 1998, part I: pp. 49-58.
[12] Meissl, P. (1969) Inner Theory of Errors of a Cluster of Points. Annex F in Systematic Investigations of Geodetic Networks in Space, (ed) K. Rinner.
[13] Papo, H. and A. Perelmuter (1981) Datum Definition by Free Net Adjustment, Bulletin Geodesique, Vol.55, No.3.
[14] Papo, H. (1986) Extended Free Net Adjustment Constraint, NOAA Tech. Rep., NOS 119 NGS 37, Rockville MD.
[15] Papo, H. (1987) Bases of Null Space in Analytical Photogrammetry, Photogrammetria, Vol. 41.
[16] Papo, H. (1989) Modeling in Non-Cartesian Reference Frames, IAG General Meeting, Edinburgh, Scotland, UK.
[17] Papo, H. (1999) Datum Accuracy and its Dependence on Network Geometry, International Scientific and Technical Conference, dedicated to the 220th anniversary of Moscow State University of Geodesy and Cartography, May 24-29, 1999
[18] Pratt, M., B. Burke and P. Misra (1998) Single epoch ambiguity resolution with GPS-GLONASS L1-L2 data, Proc. of the 11th International Technical Meeting, Algorithms and Methods ION-GPS '98, Nashville, USA, pp. 389-398
[19] Remondi, B. W. (2002) Support of the System Test and Analysis Program for the Nationwide Differential Global Positioning System Modernization Program Phase I High Accuracy-Nationwide Differential Global Positioning System Report, FHWA-RD-02-110 (July 2002). http://www.tfhrc.gov/its/ndgps/02110/index.htm.
[20] Springer, T.A. (1999) Modeling and Validating Orbits and Clocks Using the Global Positioning System, Ph.D. dissertation, Astronomical Institute, University of Berne, Berne, Switzerland, 155p.
[21] Teunissen, P.J.G and A. Kleusberg (Eds.), (1998) GPS for Geodesy, Springer - Verlag Berlin Heidelberg New York, 650p.
[22] Yang, M., C. Goad and B. Schaffrin (1994) Real-time on-the-fly ambiguity resolution over short baseline in the presence of anti-spoofing, in Proceedings of ION GPS-94, Salt Lake City, pp. 519-525.

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