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Auteur W.D. Schuh |
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Magic square of real spectral and time series analysis with an application to moving average processes / I. Krasbutter (2015)
contenu dans The 1st International workshop on the quality of geodetic observation and monitoring systems (QuGOMS'11) / Hansjörg Kutterer (2015)
Titre : Magic square of real spectral and time series analysis with an application to moving average processes Type de document : Article/Communication Auteurs : I. Krasbutter, Auteur ; Boris Kargoll, Auteur ; W.D. Schuh, Auteur Editeur : Berlin, Heidelberg, Vienne, New York, ... : Springer Année de publication : 2015 Collection : International Association of Geodesy Symposia, ISSN 0939-9585 num. 140 Conférence : QuGOMS 2011, 1st IAG International workshop on the quality of geodetic observation and monitoring systems 13/04/2011 15/04/2011 Munich Allemagne Proceedings Springer Importance : pp 9 - 14 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] analyse spectrale
[Termes IGN] moyenne mobile
[Termes IGN] processus stochastique
[Termes IGN] série temporelleRésumé : (auteur) This paper is concerned with the spectral analysis of stochastic processes that are realvalued, one-dimensional, discrete-time, covariance-stationary, and which have a representation as a moving average (MA) process. In particular, we will review the meaning and interrelations of four fundamental quantities in the time and frequency domain, (1) the stochastic process itself (which includes filtered stochastic processes), (2) its autocovariance function, (3) the spectral representation of the stochastic process, and (4) the corresponding spectral distribution function, or if it exists, the spectral density function. These quantities will be viewed as forming the corners of a square (the “magic square of spectral and time series analysis”) with various connecting lines, which represent certain mathematical operations between them. To demonstrate the evaluation of these operations, we will discuss the example of a q-th order MA process. Numéro de notice : C2011-031 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE Nature : Communication DOI : 10.1007/978-3-319-10828-5_2 En ligne : https://doi.org/10.1007/978-3-319-10828-5_2 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=84802 Optimal regularization for geopotential model GOCO02S by Monte Carlo methods and multi-scale representation of density anomalies / Karl Rudolf Koch in Journal of geodesy, vol 86 n° 8 (August 2012)
[article]
Titre : Optimal regularization for geopotential model GOCO02S by Monte Carlo methods and multi-scale representation of density anomalies Type de document : Article/Communication Auteurs : Karl Rudolf Koch, Auteur ; J. Brockmann, Auteur ; W.D. Schuh, Auteur Année de publication : 2012 Article en page(s) : pp 647 - 660 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] analyse de variance
[Termes IGN] B-Spline
[Termes IGN] données GOCE
[Termes IGN] méthode de Monte-Carlo
[Termes IGN] modèle de géopotentiel
[Termes IGN] ondeletteRésumé : (Auteur) GOCO02S is a combined satellite-only geopotential model, regularized from degrees 180 to 250 of the expansion into spherical harmonics. To investigate the start of the regularization, the normal equations of GOCO02S have been used to compute additional geopotential models by regularizations beginning at degrees 160, 200, 220 and with no regularization. Three different methods are applied to determine where to start the regularization. The simplest one considers the decrease of the degree variances of the not regularized solution. The second one tests for the same solution the hypothesis that the square root of the degree variance is equal to the value computed by the estimated harmonic coefficients. If the hypothesis has to be rejected for a certain degree, the error degree variance is so large that the estimated harmonic coefficients cannot be trusted anymore so that the regularization has to start at that degree. The third method uses the density anomalies by which the disturbing potential is caused resulting from the geopotential model. The density anomalies are well suited to visualize the effects of the higher degree harmonics. In contrast to the base functions of the harmonic coefficients with global support, the density anomalies are expressed by a B-spline surface with local support. Multi-scale representations were applied and the hypotheses tested that the wavelet coefficients are equal to zero. Accepting the hypotheses means that nonsignificant wavelet coefficients were determined which lead to nonsignificant density anomalies. By comparing these anomalies for different regularizations, the degree where to start the regularization is determined. It turns out that beginning the regularization at degree 180, as was done for GOCO02S, is a correct choice. Numéro de notice : A2012-377 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-012-0546-7 Date de publication en ligne : 24/02/2012 En ligne : https://doi.org/10.1007/s00190-012-0546-7 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=31823
in Journal of geodesy > vol 86 n° 8 (August 2012) . - pp 647 - 660[article]Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 266-2012081 RAB Revue Centre de documentation En réserve L003 Disponible Tailored numerical solution strategies for the global determination of the Earth's gravity field / W.D. Schuh (1996)
Titre : Tailored numerical solution strategies for the global determination of the Earth's gravity field : study of the complementary use of the gradiometry and Global Positioning System (GPS) for the Earth's gravity field Type de document : Rapport Auteurs : W.D. Schuh, Auteur Editeur : Graz : Technische Universität Graz Année de publication : 1996 Collection : Mitteilungen der geodätischen Institute num. 81 Importance : 156 p. Format : 21 x 30 cm Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique
[Termes IGN] champ de pesanteur terrestre
[Termes IGN] compensation par moindres carrés
[Termes IGN] équation linéaire
[Termes IGN] harmonique sphérique
[Termes IGN] matrice de covariance
[Termes IGN] modèle stochastique
[Termes IGN] potentiel de pesanteur terrestre
[Termes IGN] problème des valeurs limitesIndex. décimale : 30.40 Géodésie physique Numéro de notice : 18259 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Rapport d'étude technique Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=41459 Exemplaires(1)
Code-barres Cote Support Localisation Section Disponibilité 18259-01 30.40 Livre Centre de documentation Géodésie Disponible