Advertisement

Journal of Geodesy

, Volume 70, Issue 6, pp 330–341 | Cite as

Improving the computational efficiency of the ambiguity function algorithm

  • Shaowei Han
  • Chris Rizos
Article

Abstract

Techniques are described in this paper for improving the Ambiguity Function Method (AFM) for differential GPS positioning using phase observations, (a) that take advantage of optimal dual-frequency observable combinations to improve thereliability of the AFM, and (b) that significantly shorten the computation time necessary for the AFM. The procedure can be used for kinematic positioning applications if a Kalman filter predicted position is accurate enough as an initial position for the suggested AFM searching procedure, or pseudokinematic mode using say a triple-difference solution as an initial position for static positioning if the baseline length is short (typically <5km).

Keywords

Computation Time Initial Position Kalman Filter Computational Efficiency Static Position 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abidin HZ (1993) Computational and Geometrical Aspects of ‘On The Fly’ Ambiguity Resolution. Technical Report No. 164, Department of Surveying Engineering, University of New Brunswick, Fredericton, N.B., Canada.Google Scholar
  2. Cocard M, Geiger A (1992) Systematic Search for all Possible Widelanes. In: Proceedings of The Sixth International Geodetic Symposium on Satellite Positioning, March 17–20, Columbus, Ohio, USA, pp 312–318.Google Scholar
  3. Counselman CC, Gourevitch SA (1981) Miniature Interferometer Terminals for Earth Surveying: Ambiguity and Multipath with the Global Positioning System. IEEE Transactions on Geoscience and Remote Sensing, Vol. GE-19, No. 4, pp 244–252.Google Scholar
  4. Han SW (1994a) Equivalence between the Ambiguity Function Method and the Least Squares Method with GPS Carrier Phase Observables and The Improved Ambiguity Function Method. ACTA GEODAETICA et CARTOGRAPHICA SINICA, Vol. 23, No. 4, pp 282–288.Google Scholar
  5. Han SW (1994b) Ambiguity Function Method with Constrained Conditions and its Application in GPS Kinematic Positioning. Journal of Wuhan Technical University of Surveying and Mapping, Vol. 19, No. 1, pp 7–14.Google Scholar
  6. Hofmann-Wellenhof B, Lichtenegger H, Collins J (1992) GPS Theory and Practice. Springer-Verlag Wien New York.Google Scholar
  7. Lachapelle G, Cannon ME, Erickson C, Falkenberg W (1992) High Precision C/A Code Technology for Rapid Static DGPS Surveys. In: Proceedings of The Sixth International Geodetic Symposium on Satellite Positioning, March 17–20, Columbus, Ohio, USA, pp 165–173.Google Scholar
  8. Mader GL (1990) Ambiguity Function Techniques for GPS Phase Initialization and Kinematic Solutions. In: Proceedings of Second International Symposium on Precise Positioning with the Global Positioning System, Ottawa, Canada, September 3–7, pp 1233–1247.Google Scholar
  9. Mader GL (1992) Rapid Static and Kinematic Global Positioning System Solutions Using the Ambiguity Function Technique. Journal of Geophysical Research, Vol. 97, No. B3, pp 3271–3283.Google Scholar
  10. Remondi BW (1984) Using the Global Positioning System (GPS) Phase Observable for Relative Geodesy: Modeling, Processing and Results. Doctoral Dissertation, Center for Space Research, University of Texas at Austin.Google Scholar
  11. Remondi BW (1989) Pseudo-kinematic GPS Results Using the Ambiguity Function Method. Journal of The Institute of Navigation, Vol. 38, No. 1, pp 17–36.Google Scholar
  12. Remondi BW, Hilla SA (1993) Pseudo-kinematic Surveying Based Upon Full-wavelength Dualfrequency GPS Observations. NOAA Technical Memorandum NOS NGS-56, November.Google Scholar
  13. Seeber G (1993) Satellite Geodesy Foundations, Methods, and Applications. Walter de Gruyter.Google Scholar

Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Shaowei Han
    • 1
  • Chris Rizos
    • 1
  1. 1.School of Geomatic EngineeringThe University of New South WalesSydneyAustralia

Personalised recommendations