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Fast GNSS ambiguity resolution as an ill-posed problem / Lard Erik Sjöberg in Journal of geodesy, vol 84 n° 11 (November 2010)
[article]
Titre : Fast GNSS ambiguity resolution as an ill-posed problem Type de document : Article/Communication Auteurs : Lard Erik Sjöberg, Auteur Année de publication : 2010 Article en page(s) : pp 699 - 702 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] ambiguïté entière
[Termes IGN] matrice de covariance
[Termes IGN] mesurage de phase
[Termes IGN] phase GNSS
[Termes IGN] positionnement par GNSS
[Termes IGN] problème inverse
[Termes IGN] résolution d'ambiguïtéRésumé : (Auteur) A linear observational equation system for real-time GNSS carrier phase ambiguity resolution (AR) is often severely ill-posed in the case of poor satellite geometry. An ill-posed system may result in unreliable or unsuccessful AR if no care is taken to mitigate this situation. In this paper, the GNSS AR model as an ill-posed problem is solved by regularizing its baseline and ambiguity parameters, respectively, with the threefold contributions: (i) The regularization parameter is reliably determined in context of minimizing mean square error of regularized solution where the covariance matrix of initial values of unknowns is used as an approximate smoothness term instead of the quadratic matrix of the true values of unknowns; (ii) The different models for computing initial values of unknowns are systematically discussed in order to address the potential schemes in real world applications; (iii) The superior performance of the regularized AR are demonstrated through the numerically random simulations as well as the real GPS experiments. The results show that the proposed regularization strategies can effectively mitigate the model’s ill-condition and improve the success AR probability of the observational system with a severely ill-posed problem. Numéro de notice : A2010-478 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-010-0403-5 Date de publication en ligne : 22/08/2010 En ligne : https://doi.org/10.1007/s00190-010-0403-5 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30671
in Journal of geodesy > vol 84 n° 11 (November 2010) . - pp 699 - 702[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2010111 SL Revue Centre de documentation Revues en salle Disponible Integer ambiguity resolution in precise point positionning : method comparison / J. Geng in Journal of geodesy, vol 84 n° 9 (September 2010)
[article]
Titre : Integer ambiguity resolution in precise point positionning : method comparison Type de document : Article/Communication Auteurs : J. Geng, Auteur ; X. Meng, Auteur ; A. Dodson, Auteur ; Felix Norman Teferle, Auteur Année de publication : 2010 Article en page(s) : pp 569 - 581 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] ambiguïté entière
[Termes IGN] analyse comparative
[Termes IGN] positionnement par GNSS
[Termes IGN] positionnement ponctuel précis
[Termes IGN] précision millimétrique
[Termes IGN] résolution d'ambiguïtéRésumé : (Auteur) Integer ambiguity resolution at a single receiver can be implemented by applying improved satellite products where the fractional-cycle biases (FCBs) have been separated from the integer ambiguities in a network solution. One method to achieve these products is to estimate the FCBs by averaging the fractional parts of the float ambiguity estimates, and the other is to estimate the integer-recovery clocks by fixing the undifferenced ambiguities to integers in advance. In this paper, we theoretically prove the equivalence of the ambiguity-fixed position estimates derived from these two methods by assuming that the FCBs are hardware-dependent and only they are assimilated into the clocks and ambiguities. To verify this equivalence, we implement both methods in the Position and Navigation Data Analyst software to process 1 year of GPS data from a global network of about 350 stations. The mean biases between all daily position estimates derived from these two methods are only 0.2, 0.1 and 0.0 mm, whereas the standard deviations of all position differences are only 1.3, 0.8 and 2.0 mm for the East, North and Up components, respectively. Moreover, the differences of the position repeatabilities are below 0.2 mm on average for all three components. The RMS of the position estimates minus those from the International GNSS Service weekly solutions for the former method differs by below 0.1 mm on average for each component from that for the latter method. Therefore, considering the recognized millimeter-level precision of current GPS-derived daily positions, these statistics empirically demonstrate the theoretical equivalence of the ambiguity-fixed position estimates derived from these two methods. In practice, we note that the former method is compatible with current official clock-generation methods, whereas the latter method is not, but can potentially lead to slightly better positioning quality. Numéro de notice : A2010-416 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-010-0399-x Date de publication en ligne : 06/08/2010 En ligne : https://doi.org/10.1007/s00190-010-0399-x Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30609
in Journal of geodesy > vol 84 n° 9 (September 2010) . - pp 569 - 581[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2010091 SL Revue Centre de documentation Revues en salle Disponible Integer least-squares theory for the GNSS compass / Peter J.G. Teunissen in Journal of geodesy, vol 84 n° 7 (July 2010)
[article]
Titre : Integer least-squares theory for the GNSS compass Type de document : Article/Communication Auteurs : Peter J.G. Teunissen, Auteur Année de publication : 2010 Article en page(s) : pp 433 - 447 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] altitude
[Termes IGN] ambiguïté entière
[Termes IGN] données GNSS
[Termes IGN] méthode des moindres carrés
[Termes IGN] positionnement par GNSS
[Termes IGN] résolution d'ambiguïtéRésumé : (Auteur) Global navigation satellite system (GNSS) carrier phase integer ambiguity resolution is the key to high precision positioning and attitude determination. In this contribution, we develop new integer least-squares (ILS) theory for the GNSS compass model, together with efficient integer search strategies. It extends current unconstrained ILS theory to the nonlinearly constrained case, an extension that is particularly suited for precise attitude determination. As opposed to current practice, our method does proper justice to the a priori given information. The nonlinear baseline constraint is fully integrated into the ambiguity objective function, thereby receiving a proper weighting in its minimization and providing guidance for the integer search. Different search strategies are developed to compute exact and approximate solutions of the nonlinear constrained ILS problem. Their applicability depends on the strength of the GNSS model and on the length of the baseline. Two of the presented search strategies, a global and a local one, are based on the use of an ellipsoidal search space. This has the advantage that standard methods can be applied. The global ellipsoidal search strategy is applicable to GNSS models of sufficient strength, while the local ellipsoidal search strategy is applicable to models for which the baseline lengths are not too small. We also develop search strategies for the most challenging case, namely when the curvature of the non-ellipsoidal ambiguity search space needs to be taken into account. Two such strategies are presented, an approximate one and a rigorous, somewhat more complex, one. The approximate one is applicable when the fixed baseline variance matrix is close to diagonal. Both methods make use of a search and shrink strategy. The rigorous solution is efficiently obtained by means of a search and shrink strategy that uses non quadratic, but easy-to-evaluate, bounding functions of the ambiguity objective function. The theory presented is generally valid and it is not restricted to any particular GNSS or combination of GNSSs. Its general applicability also applies to the measurement scenarios (e.g. single-epoch vs. multi-epoch, or single-frequency vs. multi-frequency). In particular it is applicable to the most challenging case of unaided, single frequency, single epoch GNSS attitude determination. The success rate performance of the different methods is also illustrated. Numéro de notice : A2010-569 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-010-0380-8 Date de publication en ligne : 02/04/2010 En ligne : https://doi.org/10.1007/s00190-010-0380-8 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30761
in Journal of geodesy > vol 84 n° 7 (July 2010) . - pp 433 - 447[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-2010071 SL Revue Centre de documentation Revues en salle Disponible GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals / Y. Feng in Journal of geodesy, vol 82 n° 12 (December 2008)
[article]
Titre : GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals Type de document : Article/Communication Auteurs : Y. Feng, Auteur Année de publication : 2008 Note générale : Bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] ambiguïté entière
[Termes IGN] correction ionosphérique
[Termes IGN] phase GNSS
[Termes IGN] positionnement cinématique en temps réel
[Termes IGN] positionnement par GNSS
[Termes IGN] résolution d'ambiguïté
[Termes IGN] signal GNSS
[Termes IGN] traitement du signalRésumé : (Auteur) This paper presents a general modeling strategy for ambiguity resolution (AR) and position estimation (PE) using three or more phase-based ranging signals from a global navigation satellite system (GNSS). The proposed strategy will identify three best “virtual” signals to allow for more reliable AR under certain observational conditions characterized by ionospheric and tropospheric delay variability, level of phase noise and orbit accuracy. The selected virtual signals suffer from minimal or relatively low ionospheric effects, and thus are known as ionosphere-reduced virtual signals. As a result, the ionospheric parameters in the geometry-based observational models can be eliminated for long baselines, typically those of length tens to hundreds of kilometres. The proposed modeling comprises three major steps. Step 1 is the geometry-free determination of the extra-widelane (EWL) formed between the two closest L-band carrier measurements, directly from the two corresponding code measurements. Step 2 forms the second EWL signal and resolves the integer ambiguity with a geometry-based estimator alone or together with the first EWL. This is followed by a procedure to correct for the first-order ionospheric delay using the two ambiguity-fixed widelane (WL) signals derived from the integer-fixed EWL signals. Step 3 finds an independent narrow-lane (NL) signal, which is used together with a refined WL to resolve NL ambiguity with geometry-based integer estimation and search algorithms. As a result, the above two AR processes performed with WL/NL and EWL/WL signals respectively, either in sequence or in parallel, can support real time kinematic (RTK) positioning over baselines of tens to hundreds of kilometres, thus enabling centimetre-to-decimetre positioning at the local, regional and even global scales in the future. Copyright Springer Numéro de notice : A2008-469 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-008-0209-x En ligne : https://doi.org/10.1007/s00190-008-0209-x Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=29538
in Journal of geodesy > vol 82 n° 12 (December 2008)[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 266-08111 RAB Revue Centre de documentation En réserve L003 Disponible 266-08112 RAB Revue Centre de documentation En réserve L003 Disponible Ambiguity resolution in the air: mapping without stable GPS signals / J. Hutton in GIM international, vol 22 n° 11 (November 2008)
[article]
Titre : Ambiguity resolution in the air: mapping without stable GPS signals Type de document : Article/Communication Auteurs : J. Hutton, Auteur Année de publication : 2008 Article en page(s) : pp 18 - 19 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale
[Termes IGN] ambiguïté entière
[Termes IGN] GPS en mode cinématique
[Termes IGN] navigation aérienne
[Termes IGN] positionnement par GPS
[Termes IGN] résolution d'ambiguïté
[Termes IGN] signal GPSRésumé : (Auteur) The need for ambiguity in aerial survey limits aircraft banking angle to a flat turn. It also inhibits flying far from reference stations. Technology is now in place to eliminate these hurdles. Copyright Reed Business Information Numéro de notice : A2008-414 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article DOI : sans Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=29406
in GIM international > vol 22 n° 11 (November 2008) . - pp 18 - 19[article]Réservation
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Code-barres Cote Support Localisation Section Disponibilité 061-08111 SL Revue Centre de documentation Revues en salle Disponible A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS / Marc Cocard in Journal of geodesy, vol 82 n° 9 (September 2008)PermalinkADOP in closed form for a hierarchy of multi-frequency single-baseline GNSS models / Dennis Odijk in Journal of geodesy, vol 82 n° 8 (August 2008)PermalinkResolution of GPS carrier-phase ambiguities in Precise Point Positioning (PPP) with daily observations / M. Ge in Journal of geodesy, vol 82 n° 7 (July 2008)PermalinkInfluence of ambiguity precision on the success rate of GNSS integer ambiguity bootstrapping / Peter J.G. Teunissen in Journal of geodesy, vol 81 n° 5 (May 2007)PermalinkNetwork RTK: getting ready for GNSS modernization / H. Landau in GPS world, vol 18 n° 4 (April 2007)PermalinkEfficiency of carrier-phase integer ambiguity resolution for precise GPS positioning in noisy environments / L. Zhu in Journal of geodesy, vol 81 n° 2 (February 2007)PermalinkDéveloppement d'un logiciel de traitement de données GPS dans le cadre des réseaux GNSS temps réel / Omid Kamali (2006)PermalinkPrecise relative positioning of formation flying spacecraft using GPS / R. Kroes (2006)PermalinkLe point sur les traitements de données GNSS en réseau pour un positionnement centimétrique temps réel de meilleure qualité / Romain Legros in XYZ, n° 105 (décembre 2005 - février 2006)PermalinkIonospheric modeling: the key to GNSS ambiguity resolution / T. Richert in GPS world, vol 16 n° 6 (June 2005)PermalinkThe GNSS integer ambiguities / S. Verhagen (2005)PermalinkGPS satellite surveying / Alfred Leick (2004)PermalinkPhase ambiguity determination for the positioning of interferometric SAR data / A. Sowter in Photogrammetric record, vol 18 n° 104 (December 2003 - February 2004)PermalinkAmélioration de la précision de la localisation différentielle temps réel par mesure de phase des systèmes GNSS / Stéphane Durand (2003)PermalinkGPS : Theory, algorithms and applications / Guochang Xu (2003)PermalinkZur Bestimmung der GPS-Phasenmehrdeutigkeiten in großräumigen Netzen / K. Wienholz (2003)Permalink0,99999999 confidence ambiguity resolution with GPS and Galileo / Christian Tiberius in GPS solutions, vol 6 n° 1-2 (November 2002)PermalinkApplication des méthodes de résolution d'ambigüités sur la mesure de phase GPS à l'approche de précision / J.P. Chauveau (2002)PermalinkFast precise GPS positioning in the presence of ionospheric delays / Dennis Odijk (2002)PermalinkStatistische Untersuchung ganzzahliger und reellwertiger unbekannter Parameter im GPS-Modell / B. Gundlich (2002)PermalinkUse of a multi-reference GPS station network for precise 3D positioning in constricted waterway / Luis P. Fortes in International hydrographic Review, vol 77 n° 1 (01/07/2000)PermalinkGeodetic applications of the global navigation satellite system (GLONASS) and of GLONASS-GPS combinations / H. Habrich (2000)PermalinkPräzise Positionierung in regionalen GPS-Referenzstationsnetzen / Lambert Wanninger (2000)PermalinkUntersuchung von GPS-Beobachtungen für kleinräumige geodätische Netze / R. Hollmann (2000)PermalinkZur Entwicklung eines GPS-Programmsystems für Lehre und Tests unter besonderer Berücksichtigung der Ambiguity Function Methode / B. Zebhauser (2000)PermalinkInteger GPS-ambiguity estimation without the receiver-satellite geometry / N.F. Jonkman (1998)PermalinkA processing strategy for the application of the GPS in networks / P.J. de Jonge (1998)PermalinkRecursive data processing for kinematic GPS surveying / Christian Tiberius (1998)PermalinkEvaluation du nouveau modèle du Bernese software / Serge Botton in Bulletin d'information de l'Institut géographique national, n° 68 (octobre 1997)PermalinkEtude de l'applicabilité des techniques de lever d'ambigüité de la mesure de phase GPS aux approches de précision = Analysis of the feasibility of using GPS carrier phase ambiguity resolution techniques for precision approaches / Christophe Macabiau (1997)PermalinkEin hybrides System in der Geodäsie. Einsatz des NAVSTAR GPS mit dem Strapdown-Inertial-Navigations- system LASERNAV II für kinematische Punktbestimmung und Orientierung / Wolfgang Söhne (1996)PermalinkAmbiguity resolution techniques in geodetic and geodynamic applications of the Global Positioning System / L. Mervart (1995)PermalinkPermalinkThe lambda method for integer ambiguity estimation / P.J. de Jonge (1993)PermalinkPermalinkZur Datumsfestlegung und Short-Arc Bahnverbesserung bei der Auswertung von GPS-Beobachtungen / Detlef Angermann (1991)PermalinkContributions to GPS studies / Chris Rizos (1990)PermalinkPseudo-kinematic GPS results using the ambiguity function method / B.W. Remondi (1990)PermalinkUntersuchung zum rationellen Einsatz des GPS in kleinräumigen Netzen / H.J. Euler (1990)PermalinkZur Nutzung des Global Positioning Systems in Geodäsie und Geodynamik / H. Landau (1988)PermalinkContribution à la réalisation numérique du traitement d'antenne synthétique sur satellite / C. Cazaux (1979)Permalink