Technical Papers
Mar 6, 2019

Impact of Double Differences Correlation on the Adjustment of Small GNSS Networks

Publication: Journal of Surveying Engineering
Volume 145, Issue 2

Abstract

The effect of correlations in global navigation satellite system (GNSS) double difference observation has been investigated, and it has been empirically found that such effect is small in local networks (baseline up to a few kilometers). In this work, we show that if the extension of the network is very small (a few kilometers), if all receivers of the network observe the same satellites (no occlusion), and the network baselines are created by the star strategy, the discussed correlations do not have an impact at all on the estimates of the coordinates. The equivalence between the network solution and the single baseline solutions is first derived theoretically and then tested on a small real network. A method to derive the overall covariance matrix of the network from single baseline solutions is given.

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References

Beutler, G., I. Bauersima, W. Gurtner, and M. Rothacher. 1987. “Correlations between simultaneous GPS double difference carrier phase observations in the multistation mode: Implementation considerations and first experiences.” Manuscripta Geodaetica 12 (1): 40–44.
Beutler, G., D. A. Davidson, R. B. Langley, R. Santerre, P. Vaníček, and D. E. Wells. 1984. Some theoretical and practical aspects of geodetic positioning using carrier phase difference observations of GPS satellites. Technical Rep. No. 109. Fredericton, NB, Canada: Dept. of Surveying Engineering, Univ. of New Brunswick.
Fotiou, A., C. Pikridas, D. Rossikopoulos, and M. Chatzinikos. 2009. “The effect of independent and trivial GPS baselines on the adjustment of networks in everyday engineering practice.” In Int. Symp. on Modern Technologies, Education and Professional Practice in Geodesy and Related Fields. Sofia, Bulgaria: Union of Surveyors and Land Managers in Bulgaria.
Hofmann-Wellenhof, B., H. Lichtenegger, and J. Collins. 2001. Global positioning system: Theory and practice. Vienna, Austria: Springer Verlag.
Koch, K.-R. 2013. Parameter estimation and hypothesis testing in linear models. Berlin: Springer Science and Business Media.
Magnus, J. R., and H. Neudecker. 1988. Matrix differential calculus with applications in statistics and econometrics. Wiley Series in Probability and Mathematical Statistics. Hoboken, NJ: Wiley.
Rebischung, P., J. Griffiths, J. Ray, R. Schmid, X. Collilieux, and B. Garayt. 2012. “IGS08: The IGS realization of ITRF2008.” GPS Solut. 16 (4): 483–494. https://doi.org/10.1007/s10291-011-0248-2.
Santos, M. C., P. Vaníček, and R. B. Langley. 1997. “Effect of mathematical correlation on GPS network computation.” J. Surv. Eng. 123 (3): 101–112. https://doi.org/10.1061/(ASCE)0733-9453(1997)123:3(101).
Vaníček, P., G. Beutler, A. Kleusberg, R. B. Langley, R. Santerre, and D. Wells. 1985. DIPOP: Differential positioning package for the global positioning system. Technical Rep. No. 115. Fredericton, NB, Canada: Dept. of Surveying Engineering, Univ. of New Brunkswick.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 145Issue 2May 2019

History

Received: Apr 19, 2018
Accepted: Aug 28, 2018
Published online: Mar 6, 2019
Published in print: May 1, 2019
Discussion open until: Aug 6, 2019

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Authors

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Geomatics Research & Development s.r.l., Via Cavour, 2, 22074 Lomazzo, Italy; Politecnico di Milano, Sezione Geodesia e Geomatica, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy (corresponding author). ORCID: https://orcid.org/0000-0002-0911-8553. Email: [email protected]
Stefano Caldera, Ph.D.
Geomatics & Development s.r.l., Via Cavour, 2, 22074 Lomazzo, Italy.

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