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On the Alternative Approaches to ITRF Formulation

A Theoretical Comparison

  • Conference paper
  • First Online:
Book cover Earth on the Edge: Science for a Sustainable Planet

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 139))

Abstract

The one-step approach for ITRF formulation is compared with the two-step technique where the ITRF parameters are first separately estimated for each space technique separately (stacking per technique) and are then combined into the final ITRF estimates (combination step). The comparison is achieved by splitting the one-step approach into two equivalent steps such that the first one is identical to the first step of the two-step approach. It is shown that the two approaches give equivalent results when the input covariance matrices in the combination step of the two-step approach are the normal equation coefficient matrices formulated in the corresponding stacking per technique first step. Furthermore it is shown that the model of the combination step can be significantly simplified by ignoring the parameters of reference system transformation from the per technique estimates to those of the final ITRF parameter estimates.

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References

  • Altamimi, Z, Dermanis A (2009) The choice of reference system in ITRF formulation. In: IAG symposia, vol 137, pp 329–334

    Google Scholar 

  • Altamimi Z, Sillard P, Boucher C (2002) ITRF2000: a new release of the international terrestrial reference frame for earth science applications. J Geophys Res 107(B10):2214

    Google Scholar 

  • Altamimi Z, Sillard P, Boucher C (2004) ITRF2000: from theory to implementation. In: Sansò F (ed) V Hotine–Marussi symposium on mathematical geodesy. In: IAG symposia, vol 127. Springer, Berlin, pp 157–163

    Google Scholar 

  • Altamimi Z, Collilieux X, Legrand J, Garayt B, Boucher C (2007) ITRF2005: a new release of the International Terrestrial Reference Frame based on time series of station positions and Earth Orientation Parameters. J Geophys Res 112, B09401

    Google Scholar 

  • Altamimi Z, Collilieux X, Métivier L (2011) ITRF2008: an improved solution of the international terrestrial reference frame. J Geod 85:457–473

    Article  Google Scholar 

  • Angermann D, Drewes H, Gerstl M, Krügel M, Meisel B (2009) DGFI combination methodology for ITRF2005 computation. In: IAG symposia, vol 134, pp 11–16

    Google Scholar 

  • Dermanis A (2003) The rank deficiency in estimation theory and the definition of reference frames. In: IAG symposia, vol 127, pp 145–156

    Google Scholar 

  • Dow JM, Neilan RE, Rizos C (2009) The International GNSS Service in a changing landscape of Global Navigation Satellite Systems. J Geod 83:191–198

    Article  Google Scholar 

  • Gross J (2004) The general Gauss-Markov model with possibly singular dispersion matrix. J Stat Pap 45:311–336

    Article  Google Scholar 

  • Kelm R (2006) Rigorous variance component estimation in weekly intra-technique and inter-technique combination for global terrestrial reference frames. In: IAG symposia, vol 134, pp 39–44

    Google Scholar 

  • Koch K-R (1999) Parameter estimation and hypothesis testing in linear models, 2nd edn. Springer, Berlin

    Book  Google Scholar 

  • Pearlman MR, Degnan JJ, Bosworth JM (2002) The International Laser Ranging Service. Adv Space Res 30:135–143

    Article  Google Scholar 

  • Rao CR (1971) Unified theory of linear estimation. Sankhya Ser A 33:371–394; Corrigenda (1972) Sankhya Ser A 34:194, 477

    Google Scholar 

  • Rothacher M, Angermann D, Artz T, Bosch W, Drewes H, Gerstl M, Kelm R, König D, König R, Meisel B, Müller H, Nothnagel A, Panafidina N, Richter B, Rudenko S, Schwegmann W, Seitz M, Steigenberger P, Tesmer S, Tesmer V, Thaller D (2011) GGOS-D: homogeneous reprocessing and rigorous combination of space geodetic observations. J Geod 85:679–705

    Article  Google Scholar 

  • Schaffrin B (1989) An alternative approach to robust collocation. Bulletin Geodesique 63:395–404

    Article  Google Scholar 

  • Schlüter W, Behrend D (2007) The International VLBI Service for Geodesy and Astrometry (IVS): current capabilities and future prospects. J Geod 81:379–387

    Article  Google Scholar 

  • Seitz M, Angermann D, Blossfeld M, Drewes H, Gerstl M (2012) The 2008 DGFI realization of the ITRS: DTRF2008. J Geod 86(12):1097–1123. doi:10.1007/s00190-012-0567-2

    Article  Google Scholar 

  • Tanir E, Heinkelmann R, Schuh H, Kusche J, van Loon JP (2006) Assessment of the results of VLBI intra-technique combination using regularization methods. In: IAG symposia, vol 134, pp 45–51

    Google Scholar 

  • Willis P, Gobinddass ML, Garayt B, Fagard H (2012) Recent improvements in DORIS data processing in view of ITRF2008, the ignwd08 solution. In: IAG symposia, vol 136, pp 43–49

    Google Scholar 

  • Wolf H (1974) Über verallgemeinerte Kollokation. Z Vermessungswesen 99:475–478 (in German)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Geodesy and Surveying, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Athanasios Dermanis

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  1. Athanasios Dermanis
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Correspondence to Athanasios Dermanis .

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Editors and Affiliations

  1. School of Surveying, University of New South Wales, Sydney, New South Wales, Australia

    Chris Rizos

  2. Direction Technique, Institut national de l'Information, Saint-Mandé, France

    Pascal Willis

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Dermanis, A. (2014). On the Alternative Approaches to ITRF Formulation. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_29

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