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The Lambda Method for the GNSS Compass

Artificial Satellites

Volume 41 (2006): Issue 3 (September 2006)

By: P. Teunissen

Open Access

|May 2007

Abstract

Global Navigation Satellite System carrier phase ambiguity resolution is the key to high precision positioning and attitude determination. In this contribution we consider the GNSS compass model. We derive the integer least-squares estimators and discuss the various steps involved in the ambiguity resolution process. This includes the method that has successfully been used in (Park and Teunissen, 2003). We emphasize the unaided, single frequency, single epoch case, since this is considered the most challenging mode of GNSS attitude determination.

References

Bjork, A. (1996): Numerical methods for least squares problems, SIAM.10.1137/1.9781611971484
Search in Google Scholar
Boon, F., B. Ambrosius (1997): Results of real-time applications of the LAMBDA method in GPS based aircraft landings. Proceedings KIS97, pp. 339-345.
Search in Google Scholar
Cox, D.B. and J.D.W. Brading (1999): Integration of LAMBDA ambiguity resolution with Kalman filter for relative navigation of spacecraft. Proc ION NTM 99, pp. 739-745.
Search in Google Scholar
de Jonge P.J., C.C.J.M. Tiberius (1996a): The LAMBDA method for integer ambiguity estimation: implementation aspects. Publications of the Delft Computing Centre, LGR-Series No. 12.10.1007/978-3-642-80133-4_45
Search in Google Scholar
de Jonge, P.J., C.C.J.M. Tiberius (1996b): Integer estimation with the LAMBDA method. Proceedings IAG Symposium No. 115, 'GPS trends in terrestrial, airborne and spaceborne applications', G. Beutler et al. (eds), Springer Verlag, pp. 280-284.10.1007/978-3-642-80133-4_45
Search in Google Scholar
de Jonge, P.J., C.C.J.M. Tiberius, P.J.G. Teunissen (1996): Computational aspects of the LAMBDA method for GPS ambiguity resolution. Proceedings ION GPS-96, pp. 935-944.
Search in Google Scholar
Furuno (2003): Furuno's high-grade satellite compass SC-110. www.furuno.co.jp.
Search in Google Scholar
Gander, W (1981): Least squares with a quadratic constraint. Numer. Math., 36, 291-307.
Search in Google Scholar
Golub, G.H., C.F. Van Loan (1989): Matrix Computations, 2nd edition, The John Hopkins University Press.
Search in Google Scholar
Hofmann-Wellenhof, B., H. Lichtenegger, J. Collins (1997): Global Positioning System: Theory and Practice. 4th edition. Springer Verlag.10.1007/978-3-7091-3297-5
Search in Google Scholar
Leick, A. (1995): GPS Satellite Surveying. 2nd edition, John Wiley, New York.
Search in Google Scholar
Misra, P., P. Enge (2006): Global Positioning System: Signals, Measurements and Performance. 2nd edition, Ganga-Jamuna Press.
Search in Google Scholar
Moon, Y., S. Verhagen (2006): Integer ambiguity estimation and validation in attitude determination environments. Proc ION-GPS 2006.
Search in Google Scholar
Park, C., P.J.G. Teunissen (2003): A new carrier phase ambiguity estimation for GNSS attitude determination systems. Proc. Int. GPS/GNSS Symp., Tokyo, pp. 283-290.
Search in Google Scholar
Parkinson, B., J.J. Spilker (eds) (1996): GPS: Theory and Applications, Vols 1 and 2, AIAA, Washington DC.
Search in Google Scholar
Peng, H.M., F.R. Chang, L.S. Wang (1999): Attitude determination using GPS carrier phase and compass data. Proc ION NTM 99, pp. 727-732.
Search in Google Scholar
Simsky, A., L. Vander Kuylen, F. Boon (2005): Single-board attitude determination system based on the PolaRx2@GPS receiver. Proc ENC GNSS 2005, Munich, Germany, 19-22 july.
Search in Google Scholar
Strang, G., K. Borre (1997): Linear Algebra, Geodesy, and GPS, Wellesley-Cambridge Press.
Search in Google Scholar
Teunissen, P.J.G., A. Kleusberg (eds) (1998): GPS for Geodesy, 2nd enlarged edition, Springer Verlag.10.1007/978-3-642-72011-6
Search in Google Scholar
Teunissen, P.J.G. (1993): Least-squares estimation of the integer GPS ambiguities. Invited Lecture, Section IV Theory and Methodology, IAG General Meeting, Beijing, China, August 1993. Also in: LGR Series, No. 6, Delft Geodetic Computing Centre.
Search in Google Scholar
Teunissen, P.J.G. (1995): The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. Journal of Geodesy, 70: 65-82.10.1007/BF00863419
Search in Google Scholar

Articles in this issue

DOI: https://doi.org/10.2478/v10018-007-0009-1 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859

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Language: English

Page range: 89 - 103

Published on: May 10, 2007

Published by: Polish Academy of Sciences, Space Research Centre

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Related subjects:

Geosciences, other

© 2007 P. Teunissen, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.

Volume 41 (2006): Issue 3 (September 2006)