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Mathematical Algorithms for Two-Dimensional Positioning Based on GPS Pseudorange Technique

  • Ko, Kwang-Soob (Department of Navigation & Shiphandling, Korea Naval Academy) ;
  • Choi, Chang-Mook (Department of Navigation & Shiphandling, Korea Naval Academy)
  • Received : 2010.09.17
  • Accepted : 2010.10.02
  • Published : 2010.10.30

Abstract

Recently, one has realized that the threedimensional positioning technique used in GPS can be effectively applied to the modern two-dimensional positioning. Such a technique might has applied to the twodimensional positioning in fields of the mobile communication, eLORAN and the GPS jamming/ electronic warfare system. In the paper, we have studied on algorithms for two-dimensional positioning based on GPS Pseudorange Technique. The main works and results are summarized below. First, the linearized state equation was mathematically derived based on GPS pseudorange technique. Second, the geometry model with respect to triangles formed using unit-vectors were proposed for investigation of land-based radio positioning. Finally, the corresponding mathematical formulations for DOP values and covariance matrix were designed for two-dimensional positioning.

Keywords

References

  1. K. S. Ko, "A Basic Study on the Jamming Mechanism and Characteristics against GPS/GNSS Based on Navigation Warfare," Korea Institute of Navigation and Port Research, vol. 34, no. 2, pp. 97-99, March 2010. https://doi.org/10.5394/KINPR.2010.34.2.097
  2. International Loran Association, "Enhanced Loran (eLoran)," Report Version 0.1, January 2007.
  3. B. W. Parkinson, J. J. Spilker Jr., Global Positioning System: Theory and Applications Volume I, Washington DC: AIAA, pp. 190-196, pp. 469-477, 1996.
  4. P. H. Dana, "Geogrphic Information System Loran-C Coverage Modeling," Proc. ILA 22th Annual Technical Symposium, pp. 280- 285, October 1993.
  5. A. H. Phillips, "Geometrical Determination of PDOP," Journal of Navigation, vol. 31, no. 4, pp. 329-333, Winter 1984-85.
  6. T. E. Duerr, "Effect of Terrain Masking on GPS Position Dilution of Precision," Journal of Navigation., Vol.39, no.3, pp.317-321, Fall 1985.
  7. B. Hofmann-wellenof, K. Legat, M. Wieser, Navigation Principle of Positioning and Guidance, New York: Springer Wien, pp. 19-38, 147-162, 2003.
  8. B. A. Stein, "Satellite Selection During Altimeter Aiding of GPS," Journal of Navigation, vol. 32, no. 2, pp. 152-155, Summer 1985.
  9. E. D. Kaplan, C. J. Hegarty, Understanding GPS Principles and Applications, MA: Artec House, pp. 54-56, 2006.
  10. A. Gelb, Applied Optimal Estimation, Massachusetts: The MIT Press, pp. 182-192, July 1979.

Cited by

  1. New Multi-Step Iterative Methods for Solving Systems of Nonlinear Equations and Their Application on GNSS Pseudorange Equations vol.20, pp.21, 2010, https://doi.org/10.3390/s20215976