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2015 | OriginalPaper | Chapter

Integration of Observations and Models in a Consistent Least Squares Adjustment Model

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Abstract

Models are often treated as deterministic in geodetic practice. Hence, inaccurate models directly affect the results of geodetic measurements. This paper proposes a method for the mutual validation of models and observed data. To consider the inaccuracy of models, data resulting from models are treated as stochastic parameter in a linear least squares adjustment. The required stochastic information is obtained by empirical auto and cross correlation functions. This approach is applied to the problem of the mutual validation of Earth orientation parameters, second degree gravity field coefficients and geophysical excitation functions. The results and the limitations of this approach are discussed.

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Literature
go back to reference Chen JL, Wilson CR, Seo KW (2008) S2 tide aliasing in GRACE time-variable gravity solutions. J Geod 83:679–687CrossRef Chen JL, Wilson CR, Seo KW (2008) S2 tide aliasing in GRACE time-variable gravity solutions. J Geod 83:679–687CrossRef
go back to reference Galindo FJ, Ruiz JJ, Giachino E, Premoli A, Tavella P (2001) Estimation of the covariance matrix of individual standards by means of comparison measurements. In: Advanced mathematical and computational tools in metrology V. Series on advances in mathematics for applied sciences, vol 57. World Scientific, Singapore, pp 179–183 Galindo FJ, Ruiz JJ, Giachino E, Premoli A, Tavella P (2001) Estimation of the covariance matrix of individual standards by means of comparison measurements. In: Advanced mathematical and computational tools in metrology V. Series on advances in mathematics for applied sciences, vol 57. World Scientific, Singapore, pp 179–183
go back to reference Gross R (2007) Earth rotation variations - long period. In: Herring T (ed) Treatise on geophysics, vol 3. Elsevier, Amsterdam Gross R (2007) Earth rotation variations - long period. In: Herring T (ed) Treatise on geophysics, vol 3. Elsevier, Amsterdam
go back to reference Hofmann-Wellenhof B, Moritz H (2006) Physical geodesy, 2nd edn. Springer, Berlin Hofmann-Wellenhof B, Moritz H (2006) Physical geodesy, 2nd edn. Springer, Berlin
go back to reference Koot L, Viron O, Dehant V (2006) Atmospheric angular momentum time-series: characterization of their internal noise and creation of a combined series. J Geod 79:663–674CrossRef Koot L, Viron O, Dehant V (2006) Atmospheric angular momentum time-series: characterization of their internal noise and creation of a combined series. J Geod 79:663–674CrossRef
go back to reference Kusche J (2003) A Monte-Carlo technique for weight estimation in satellite geodesy. J Geod 76:641–652CrossRef Kusche J (2003) A Monte-Carlo technique for weight estimation in satellite geodesy. J Geod 76:641–652CrossRef
go back to reference Kusche J, Klees R (2002) Regularization of gravity field estimation from satellite gravity gradients. J Geod 76:359–368CrossRef Kusche J, Klees R (2002) Regularization of gravity field estimation from satellite gravity gradients. J Geod 76:359–368CrossRef
go back to reference Premoli A, Tavella P (1993) A revisited three-cornered hat method for estimating frequency standard instability. IEEE Trans Instrum Meas 42(1):7–13CrossRef Premoli A, Tavella P (1993) A revisited three-cornered hat method for estimating frequency standard instability. IEEE Trans Instrum Meas 42(1):7–13CrossRef
go back to reference Rochester MG, Smylie DE (1974) On changes in the trace of the earth’s inertia tensor. J Geophys Res 79:4948–4951CrossRef Rochester MG, Smylie DE (1974) On changes in the trace of the earth’s inertia tensor. J Geophys Res 79:4948–4951CrossRef
go back to reference Yu Z (1992) A generalization theory of estimation of variance-covariance components. Manuscripta Geodaetica 17:295–301 Yu Z (1992) A generalization theory of estimation of variance-covariance components. Manuscripta Geodaetica 17:295–301
Metadata
Title
Integration of Observations and Models in a Consistent Least Squares Adjustment Model
Authors
A. Heiker
H. Kutterer
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-10828-5_8

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