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Vectorial integer bootstrapping: flexible integer estimation with application to GNSS / Peter J.G. Teunissen in Journal of geodesy, vol 95 n° 9 (September 2021)  

Public [article]  inJournal of geodesy > vol 95 n° 9 (September 2021) . - n° 99 Titre : Vectorial integer bootstrapping: flexible integer estimation with application to GNSS Type de document : Article/Communication Auteurs : Peter J.G. Teunissen, Auteur ; L. Massarweh, Auteur ; Sandra Verhagen, Auteur Année de publication : 2021 Article en page(s) : n° 99 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale [Termes IGN] ambiguïté entière [Termes IGN] Bootstrap (statistique) [Termes IGN] estimateur [Termes IGN] mesurage de phase [Termes IGN] phase GNSS [Termes IGN] positionnement par GNSS [Termes IGN] résolution d'ambiguïté [Termes IGN] transformation en Z Résumé : (auteur) In this contribution, we extend the principle of integer bootstrapping (IB) to a vectorial form (VIB). The mathematical definition of the class of VIB-estimators is introduced together with their pull-in regions and other properties such as probability bounds and success rate approximations. The vectorial formulation allows sequential block-by-block processing of the ambiguities based on a user-chosen partitioning. In this way, flexibility is created, where for specific choices of partitioning, tailored VIB-estimators can be designed. This wide range of possibilities is discussed, supported by numerical simulations and analytical examples. Further guidelines are provided, as well as the possible extension to other classes of estimators. Numéro de notice : A2021-620 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-021-01552-2 Date de publication en ligne : 16/08/2021 En ligne : https://doi.org/10.1007/s00190-021-01552-2 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=98236 [article]

The GNSS integer ambiguities / Sandra Verhagen (2005)  

Public Titre : The GNSS integer ambiguities : estimation and validation Type de document : Thèse/HDR Auteurs : Sandra Verhagen, Auteur Editeur : Delft : Netherlands Geodetic Commission NGC Année de publication : 2005 Collection : Netherlands Geodetic Commission Publications on Geodesy, ISSN 0165-1706 num. 58 Importance : 170 p. Format : 17 x 24 cm ISBN/ISSN/EAN : 978-90-6132-290-0 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale [Termes IGN] ambiguïté entière [Termes IGN] axiome de Bayes [Termes IGN] code GPS [Termes IGN] contrôle qualité [Termes IGN] distribution de Student [Termes IGN] distribution, loi de [Termes IGN] estimation statistique [Termes IGN] Galileo [Termes IGN] Global Navigation Satellite System [Termes IGN] Global Orbitography Navigation Satellite System [Termes IGN] Global Positioning System [Termes IGN] mesurage de phase [Termes IGN] méthode des moindres carrés [Termes IGN] modèle fonctionnel [Termes IGN] modèle stochastique [Termes IGN] phase [Termes IGN] propagation du signal [Termes IGN] qualité des données [Termes IGN] résidu [Termes IGN] résolution d'ambiguïté Index. décimale : 30.61 Systèmes de Positionnement par Satellites du GNSS Résumé : (Auteur) Fast and high precision relative positioning with a Global Navigation Satellite System (GNSS) is only possible by using the very precise carrier phase measurements. However, these carrier phases are ambiguous by an unknwon number of cycles. The knowledge that the ambiguities are integer-valued has been exploited in the past 15 years for the development of integer ambiguity resolution algorithms. Once the ambiguities are fixed to their integer values, the carrier phase measurements start to act as if they were very precise pseudorange measurements. [...] Nowadays, the non-trivial problem of integer ambiguity estimation can be considered solved. However, a parameter estimation theory is not complete without the appropriate measures to validate the solution. [...] Obviously, validation of the integer ambiguity solution is still an open problem. Two approaches are investigated here. The first method uses a new ambiguity estimator, the Best Integer Equivariant (BIE) estimator. [...] It was shown that the BIE estimator significantly outperforms the float or fixed solution only in a limited number of cases. Therefore, another new class of integer estimators is investigated : the class of Integer Aperture (IA) estimators. [...] IA estimation has several important advantages. [...] Finally, it is shown that the popular ratio test perform almost as good as the optimal IA estimator if the fixed fail rate approach is used. [...] Note de contenu : 1 Introduction 1.1 Background 1.2 Objectives and contribution of this work 1.3 Outline 2 GNSS observation model and quality control 2.1 Global Navigation Satellite Systems 2.2 GNSS observation equations 2.3 GNSS functional model 2.4 GNSS stochastic model 2.5 Least-squares estimation and quality control 3 Integer ambiguity resolution 3.1 Integer estimation 3.2 Quality of the integer ambiguity solution 3.3 The ambiguity residuals . 3.4 Quality of the fixed baseline estimator 3.5 Validation of the fixed solution 3.6 The Bayesian approach 4 Best Integer Equivariant estimation 4.1 The BIE estimator 4.2 Approximation of the BIE estimator 4.3 Comparison of the float, fixed, and BIE estimators . 4.4 Summary . . 5 Integer Aperture estimation 5.1 Integer Aperture estimation 5.2 Ellipsoidal integer aperture estimation 5.3 Ratio test, difference test and projector test 5.4 Integer Aperture Bootstrapping and LeastSquares . 5.5 Penalized Integer Aperture estimation 5.6 Optimal Integer Aperture estimation 5.7 Implementation aspects 5.8 Comparison of the different IA estimators 5.9 Performance of IA estimation 5.10 Summary 6 Conclusions and recommendations 6.1 Integer estimation and validation 6.2 Quality of the baseline estimators 6.3 Reliability of the results 6.4 Bias robustness Numéro de notice : 15134 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Thèse étrangère DOI : sans En ligne : https://www.ncgeo.nl/downloads/58Verhagen.pdf Format de la ressource électronique : URL Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=55070

Exemplaires(2)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
15134-01	30.61	Livre	Centre de documentation	Géodésie	Disponible
15134-02	30.61	Livre	Centre de documentation	Géodésie	Disponible

0,99999999 confidence ambiguity resolution with GPS and Galileo / Christian Tiberius in GPS solutions, vol 6 n° 1-2 (November 2002)  

Public [article]  inGPS solutions > vol 6 n° 1-2 (November 2002) . - pp 96 - 99 Titre : 0,99999999 confidence ambiguity resolution with GPS and Galileo Type de document : Article/Communication Auteurs : Christian Tiberius, Auteur ; B. Pany, Auteur ; Bernd Eissfeller, Auteur ; P. Joosten, Auteur ; Sandra Verhagen, Auteur Année de publication : 2002 Article en page(s) : pp 96 - 99 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale [Termes IGN] ambiguïté entière [Termes IGN] constellation GPS [Termes IGN] Galileo [Termes IGN] Global Positioning System [Termes IGN] positionnement différentiel [Termes IGN] résolution d'ambiguïté [Termes IGN] secteur spatial Résumé : (Auteur) In this short contribution, it is demonstrated how integer carrier phase cycle ambiguity resolution will perform in near future, when the US GPS gets modernized and the european Galileo becomes operational. The capability of ambiguity resolution is analyzed in the context of precise differential positioning over short, medium and long distances. Starting from dual-frequency operation with GPS at present, particularly augmenting the number of satellites turns out to have beneficial consequences on the capability of correctly resolving the ambiguities. With a "double" constellation, on short baselines, the confidence of the integer ambiguity solution increases to a level of 0,99999999 or beyond. Numéro de notice : A2002-310 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : 10.1007/s10291-002-0022-6 En ligne : https://doi.org/10.1007/s10291-002-0022-6 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=22221 [article]