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A Realistic and Easy-to-Implement Weighting Model for GPS Phase Observations / Xiaoguang Luo in IEEE Transactions on geoscience and remote sensing, vol 52 n° 10 tome 1 (October 2014)  

Public [article]  inIEEE Transactions on geoscience and remote sensing > vol 52 n° 10 tome 1 (October 2014) . - pp 6110 - 6118 Titre : A Realistic and Easy-to-Implement Weighting Model for GPS Phase Observations Type de document : Article/Communication Auteurs : Xiaoguang Luo, Auteur ; M. Mayer, Auteur ; B. Heck, Auteur ; Joseph L. Awange, Auteur Année de publication : 2014 Article en page(s) : pp 6110 - 6118 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale [Termes IGN] phase GPS [Termes IGN] pondération [Termes IGN] rapport signal sur bruit [Termes IGN] signal GPS Résumé : (Auteur) Observation weighting is an essential component of GPS stochastic modeling and plays a key role in reliable outlier detection and parameter estimation. Nowadays, satellite elevation angle and SNR are used as quality indicators for GPS phase measurements in high-accuracy geodetic applications. In comparison with elevation-dependent models, SNR-based weighting schemes represent the reality better, but usually require greater implementation efforts. Relying upon a representative analysis of empirical SNR-based weights, this paper proposes the elevation-dependent exponential weighting function EXPZ, which benefits from realistic SNR-based weights and enables easy software implementation. To process GPS data from a regional network, this advanced weighting scheme is implemented in the Bernese GPS Software 5.0 and is compared with the conventional elevation-dependent COSZ model in terms of phase ambiguity resolution, troposphere parameter (TRP) estimation, and site coordinate determination. The results show that the proposed EXPZ model significantly attenuates the downweighting effects on low-elevation observations and improves the success rates of ambiguity resolution by about 10%, the standard deviations of site-specific TRPs by about 40%, and the repeatability of daily coordinate estimates by up to 2.3 mm (50%). Numéro de notice : A2014-481 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1109/TGRS.2013.2294946 En ligne : https://doi.org/10.1109/TGRS.2013.2294946 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=74063 [article]

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065-2014101A	RAB	Revue	Centre de documentation	En réserve L003	Disponible

National report of the Federal Republic of Germany on the geodetic activities in the years 1999-2003 [for] XXIII [23rd] general assembly of the International Union for Geodesy and Geophysics (IUGG) 2003 in Sapporo, Japan / B. Heck (2003)

Public Titre : National report of the Federal Republic of Germany on the geodetic activities in the years 1999-2003 [for] XXIII [23rd] general assembly of the International Union for Geodesy and Geophysics (IUGG) 2003 in Sapporo, Japan Type de document : Rapport Auteurs : B. Heck, Éditeur scientifique ; Reiner Rummel, Éditeur scientifique ; Helmut Hornik, Éditeur scientifique Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 2003 Collection : DGK - B Sous-collection : Angewandte Geodäsie num. 312 Importance : 124 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-8592-3 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] activité géodésique [Termes IGN] champ de pesanteur terrestre [Termes IGN] géodésie spatiale [Termes IGN] géodynamique [Termes IGN] géopositionnement [Termes IGN] modélisation [Termes IGN] République fédérale d'Allemagne Note de contenu : Section I : Positioning Section Il : Advanced space technology Section III : Determination of the gravity field Section IV : General theory and methodology Section V : Geodynamics Numéro de notice : 13159 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Rapport Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=40396

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
13159-01	CG2003	Livre	Centre de documentation	Congrès	Disponible

National report of the Federal Republic of Germany on the geodetic activities in the years 1995 - 1999 / B. Heck (1999)

Public Titre : National report of the Federal Republic of Germany on the geodetic activities in the years 1995 - 1999 : XXII [22] general assembly of the International Union for Geodesy and Geophysics (IUGG) 1999 in Birmingham Type de document : Rapport Auteurs : B. Heck, Auteur ; Reiner Rummel, Auteur ; Erwin Groten, Auteur ; Helmut Hornik, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1999 Collection : DGK - B Sous-collection : Angewandte Geodäsie num. 308 Importance : 124 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-8588-6 Note générale : Bibliographie Langues : Allemand (ger) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] activité géodésique [Termes IGN] champ de pesanteur terrestre [Termes IGN] géodésie spatiale [Termes IGN] géodynamique [Termes IGN] géopositionnement [Termes IGN] modélisation [Termes IGN] problème des valeurs limites [Termes IGN] République fédérale d'Allemagne Note de contenu : Section 1: Positioning Positioning - Overview and highlights H. DREWES Permanent GPS networks and reai-time positioning W. SCHLÜTER, K. PAHLER Positioning for global and long range applications W. SCHLÜTER, E. REINHART, K. PAHLER Positioning for close range and engineering application B. WITTE With contributions by M. BAUMKER, H.-P. FITZEN and E. GROTEN Section Il : Advanced space technology Advanced space technology - Overview and highlights R. RUMMEL Space observation instrumentation and satellite systems CH. REIGBER Spaceborne atmospheric monitoring R. KÔNIG Satellite orbit modelling J. DOW Section III : Determination of the gravity field Determination of the gravity field - Overview and highlights G. BOEDECKER Absolute and relative gravimetry M. BECKER Kinematic gravimetry G.W. HEIN Global gravity field modelling T. GRUBER Regional and local gravity field modelling H. DENKER Section IV : General theory and methodology Physical aspects of modeling in geodesy - Overview and highlights B. HECK Physical aspects of modelling in geodesy E. GRAFAREND Mathematical aspects of modelling K.H. ILK Theory of data évaluation S. MEIER Section V : Geodynamics Recent crustai movements and déformations W. AUGATH Tides and other temporal variations of the gravity field B. RICHTER Sea level and ice sheet variations R. DIETRICH Earth rotation variation and its geodynamic causes E. GROTEN Editors' and authors' address list Numéro de notice : 61213 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Rapport Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=44230

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61213-01	CG.99	Livre	Centre de documentation	Congrès	Disponible

Effects of Non-Linearity in the Geodetic Boundary Value Problems / B. Heck (1993)

Public Titre : Effects of Non-Linearity in the Geodetic Boundary Value Problems Type de document : Monographie Auteurs : B. Heck, Auteur ; Kurt Seitz, Auteur Editeur : Munich : Bayerische Akademie der Wissenschaften Année de publication : 1993 Collection : DGK - A Sous-collection : Theoretische Geodäsie num. 109 Importance : 74 p. Format : 21 x 30 cm ISBN/ISSN/EAN : 978-3-7696-8191-8 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] analyse harmonique [Termes IGN] champ de pesanteur terrestre [Termes IGN] problème des valeurs limites Index. décimale : 30.40 Géodésie physique Résumé : (Auteur) The geodetic boundary value problem (GBVP) aims at the determination of the (external) gravity po-tential of the earth from (continuous) observations given on the earth's surface which acts as boundary surface. Essentially, three versions of the GBVP have to be distinguished: the fixed problem involving the assumption of a boundary surface with completely known geometry, and the vectorial and scalar formulations of the free GBVP where either the spatial or the vertical components of the position vector of the boundary surface occur as additional unknown functions. The number of prescribed boundary data types depends on the version of the GBVP; in order to obtain unique solutions, one observable only, e.g. the modulus of the gravity vector, is sufficient in the case of the free GBVP while two (resp. four) observables are necessary for the scalar (resp. vectorial) free problems. Practical solutions of the GBVP are achieved by linearizing the boundary conditions, neglecting second and higher order terms. Due to this procedure the solutions of the GBVP are biased. In the present report the impact of the linearization errors on the (reduced) boundary conditions, the resolved po-tential function and - for the free problems - the geometry of the boundary surface is evaluated in the space and frequency domain. Numerical results have been obtained following two alternative concepts, a harmonic analysis and a synthesis approach. Both procedures rely on a representation of the gravi-tational potential of the earth by a truncated spherical harmonic expansion. The synthesis approach proved to be not feasible for degrees of expansion above N = 36 and had to be given up in favour of the harmonic analysis concept which was able to handle series representations up to degree N = 180. The numerical investigations have revealed significant differences between the three formulations of the GBVP with respect to the impact of second-order non-linear effects. The smallest orders of magnitude show up in the fixed GBVP, amounting up to 15.10-8ms-2 in the boundary condition and 0.04 m2s-2 in the potential function. In contrast, the second-order effects in the vectorial free GBVP have magnitudes up to 3.10-5 ms-2 in the (reduced) boundary condition and 2 m2s-2 in the solution of the potential; the effects in the vertical component of the position correction vector amount up to 0.4 m, while the effects on the horizontal components have magnitudes up to 3 metres. The scalar free GBVP takes a mediate position between the fixed and the vectorial free GBVP, the non-linear terms in the (reduced) boundary condition amounting up to 1.10-6ms-2,0.1 m2s-2 in the potential, and 3 mm in the vertical position correction. From a practical point of view the bias in the solution is negligible in the case of the fixed GBVP, mostly tolerable for the scalar free GBVP, but inadmissibly large for the vectorial free GBVP, compared with the present-day observational accuracies. Due to its practical significance the results concerning the scalar free GBVP deserve most attention. Numéro de notice : 28245 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=63591

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On the linearized boundary value problems of physical geodesy / B. Heck (1991)

Public Titre : On the linearized boundary value problems of physical geodesy Type de document : Monographie Auteurs : B. Heck, Auteur Editeur : Colombus (Ohio) : Ohio State University Année de publication : 1991 Collection : Department of Geodetic Science and Surveying Reports num. 407 Importance : 63 p. Format : 21 x 27 cm Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie physique [Termes IGN] problème des valeurs limites Index. décimale : 30.43 Travaux de géodésie physique Numéro de notice : 12101 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Monographie Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=54531

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
12101-01	30.43	Livre	Centre de documentation	Géodésie	Disponible

Time-dependent geodetic boundary value problems / B. Heck (15/09/1986)

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Zur Bestimmung vertikaler rezenter Erdkrustenbewegungen und zeitlicher Änderungen des Schwerefeldes aus wiederholten Schweremessungen und Nivellements / B. Heck (1984)

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Zur Genauigkeit gravimetrisch bestimmter absoluter und relativer Geoidhöhen / B. Heck (1983)

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Zur lokalen Geoidbestimmung aus terrestrischen Messungen vertikaler Schweregradienten / B. Heck (1979)

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