Skip to main content

Advertisement

Effect of stochastic ionospheric delay modeling for GPS ambiguity resolution

Article metrics

Abstract

The network-derived ionospheric delay can improve the fast and accurate determination of the long baseline in both the rapid-static and kinematic Global Positioning System (GPS) positioning mode. In this study, an interpolation of the undifferenced (UD) ionospheric delays is performed on a satellite-by-satellite and epoch-by-epoch basis, respectively, using the least-squares collocation (LSC) to provide not only ionospheric delays but also their variances. The developed method retains the simplicity of the two-dimensional (2-D) model, but it does not introduce errors due to the thin-shell assumption made in the single-layered model. Our method also provides flexibility in forming the predicted double-differenced (DD) ionospheric delays. Faster and more reliable positioning solutions can be obtained when the developed method is used to predict DD ionospheric delays. The numerical test applying the method to the Ohio Continuously Operating Reference Station network shows a 23% improvement in mean time-to-fix with the network-derived ionospheric delays.

References

  1. Blanch, J., T. Walter, and P. Enge, Ionospheric estimation using extended Kriging for low latitude SBAS, ION GNSS17th International Technical Meeting of the Satellite Division, Long Beach, CA, pp. 387–391, 21–24 Sept., 2004.

  2. Cannon, M. E., G. Lachapelle, P. Alves, L. P. Fortes, and B. Townsend, GPS RTK positioning using a regional reference network, theory and results, Proceedings of the 5th GNSS International Symposium, Seville, 8-11 May, 2001.

  3. Grejner-Brzezinska, D. A., P. Wielgosz, I. Kashani, D. A. Smith, P. S. J. Spencer, D. S. Robertson, and G. L. Mader, An analysis of the effects of different network-based ionosphere estimation models on rover positioning accuracy, J. Global Position. Systems, 3(1–2), 115–131, 2004.

  4. Grejner-Brzezinska, D. A., P. Wielgosz, and I. Kashani, Performance assessment of the new rapid-static module of the online positioning user service-OPUS-RS, Proceedings of the 18th ION GNSS International Technical Meeting of the Satellite Division, Long Beach, CA, pp. 2595–2605, 2005.

  5. Hong, C.-K., D. A. Grejner-Brzezinska, and J. H. Kwon, Efficient GPS receiver DCB estimation for ionosphere modeling using satellite-receiver geometry changes, Earth Planets Space, 60(11), e25–e28, 2008.

  6. Moritz, H., Advanced Physical Geodesy (reprint), Dept. of Civil and Environmental Engineering and Geodetic Science, The Ohio State University, Columbus, OH, USA, 2001.

  7. Odijk, D., Weighting ionospheric corrections to improve fast GPS positioning over medium distances, Proceedings of ION GPS, Sept. 19-12, Salt Lake City, UT, pp. 1113–1123, 2000.

  8. Odijk, D., H. Marel, and I. Song, Precise GPS positioning by applying ionospheric corrections from an active control network, GPS Solutions, 3, 49–57, 2000.

  9. Orus, R., M. Hernandez-Pajares, J. M. Juan, and J. Sanz, Improvement of global ionospheric VTEC maps by using the kriging interpolation technique, J. Atmos. Sol-Terr. Phys., 67, 1598–1609, 2005.

  10. Serpas, J. G., Local and regional geoid determination from vector airborne gravimetry, OSU Report No. 468, Department of Civil and Environmental Engineering and Geodetic Science, The Ohio State University, USA, 2003.

  11. Shaer, S., Mapping and predicting the Earth’s ionosphere using global positioning system, PhD dissertation, Astronomical Institute, University of berne, Switzerland, 205 pp., 1999.

  12. Spencer, P. S. J., D. S. Robertson, and G. L. Mader, Ionospheric data assimilation methods for geodetic applications, Proceedings of the IEEE PLANS, Monterey, California, pp. 510–517, 2004.

  13. Teunissen, P. J. G., A new method for fast carrier phase ambiguity estimation, Proceedings of the IEEE PLANS, pp. 562–573, 1994.

  14. Wang, J., M. Stewart, and M. Tsakiri, A discrimination test procedure for ambiguity resolution on-the-fly, J. Geod., 72, 644–653, 1998.

  15. Wielgosz, P., D. Grejner-Brzezinska, I. Kashani, and Y. Yi, Instantaneous regional ionosphere modeling, Proceedings of ION GPS/GNSS 2003, pp. 1750–1757, 2003.

  16. Yi, Y and D. A. Grejner-Brzezinska, Kinematic carrier phase GPS positioning aided by an instantaneous local ionospheric model based on multiple base stations using Kriging, Proceedings of the 59th ION Annual Meeting/22nd CIGTF Guidance Test Sypositium, Albuquerque, NM, pp. 387–396, 2003.

Download references

Author information

Correspondence to Chang-Ki Hong.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Hong, C., Grejner-Brzezinska, D.A., Kwon, J.H. et al. Effect of stochastic ionospheric delay modeling for GPS ambiguity resolution. Earth Planet Sp 61, e41–e44 (2009) doi:10.1186/BF03352943

Download citation

Key words

  • GPS positioning
  • ionosphere modeling
  • least-squares collocation
  • CORS