Abstract
There are four different frequencies in Galileo system, which can form more combinations than that of GPS. Therefore, it is worth, not only theoretically but also practically, to find the best or at least good combination for fast positioning. In this paper we first introduce the criteria for optimally combining the four frequencies based on 5 kinds of cost functions or constraints, then solve the correspondent coefficients for combinations. At last, we propose an algorithm for ambiguity resolution using optimally combined observables.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Refrences
de Jonge P.,Tiberius C., 1996, The LAMBDA method yfor integer ambiguity estimation: implementation aspects, LGR-Series, Publications of the Delft Geodetic Computing Centre, No.12.
Han S.W., 1995, Theory and application of the combinations of GPS dual frequency carrier phase observations. Acta Geodaetica et Cartographica Sinica. vol 24(2):8–13 (in Chinese with English abstract).
Hofmann-Wellenhof B., Lichtenegger H., Collins J., 2001, Global positioning system: theory and practice 5th, revised edition, Springer Wien, New York. 92–94.
Melbbourne W. G., 1985, The case for ranging in GPS- based geodetic systems. Proceeding 1st international symposium on precise positioning with Global Positioning System, 15–19 April, Rockville, pp 373– 386.
Schlótzer S., Martin S., 2005, Performance study of multi-carrier ambiguity resolution techniques for galileo and modernized GPS, ION GPS/GNSS 2003 Portland, USA pp142–151.
Teunissen P.J.G., 1995, The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation, JOG, 70:65–82.
Teunissen P.J.G., 1997, On the GPS widelane and its decorrelating property JOG 71:577–587.
Wang Z.M., Liu J.B., 2003, Model of inter-frequency combination of galileo GNSS, Wuhan University Journal (Natural Science), (6):723–727.(in Chinese with English abstract).
Xu P.L., 2001, Random simulation and GPS decorrelation, JOG, 75: 408–423.
Xu P.L., 2006, Voronoi cells, probabilistic bounds, and hypothesis testing in mixed integer linear models, IEEE Transactions on information theory, vol.52. No.7, July 2006:3122–3138.
Zhang W., Cannon M. E., Julien O., Alves P, 2003, Investigation of combined GPS/GALILEO cascading ambiguity resolution schemes. Proceedings of ION GPS/GNSS 2003, Portland, USA, pp 2599–2610.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, B., Shen, Y. (2008). Optimal Combination of Galileo Inter-Frequencies. In: Xu, P., Liu, J., Dermanis, A. (eds) VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. International Association of Geodesy Symposia, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74584-6_31
Download citation
DOI: https://doi.org/10.1007/978-3-540-74584-6_31
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74583-9
Online ISBN: 978-3-540-74584-6
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)