A Least Squares Variance Component Estimation Approach To Combine Multi Gnss Orbit And Clock Solutions PDF Download

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Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition

Least Squares Solutions in Statistical Orbit Determination Using Singular Value Decomposition
Author: Patrick M. Marshall
Publisher:
Total Pages: 61
Release: 1999-06-01
Genre: Gaussian processes
ISBN: 9781423553120

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This thesis is a partial analysis of the Naval Space Command statistical orbit determination algorithms. Through a process called Differential Correction, data from space surveillance radar observation stations is synthesized with previously accumulated element sets to maintain accurate orbital object position information. Differential Correction is a nonlinear least squares process employing statistical techniques to minimize the residual measurement error thereby increasing relative position information accuracy. This study focuses specifically on the algorithmic methods of solution to the systems of normal equations generated by the Differential Correction process. A comparison and analysis of the present Naval Space Command method and the singular value decomposition method is presented. Algorithmic constructions are presented for both methods and problematic areas are highlighted. The principal focus herein is to demonstrate the benefit of singular value decomposition when attempting to solve systems of equations whose coefficient matrices are dense and nearly singular. These results generalize to commonly employed normal equation solution algorithms and are intended for further study and possible incorporation by Naval Space Command as part of future modernization plans.


Geodesy for a Sustainable Earth

Geodesy for a Sustainable Earth
Author: Jeffrey T. Freymueller
Publisher: Springer Nature
Total Pages: 418
Release: 2023-07-20
Genre: Science
ISBN: 3031295072

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This open access volume contains selected papers of the 2021 Scientific Assembly of the International Association of Geodesy – IAG2021. The Assembly was hosted by the Chinese Society for Geodesy, Photogrammetry and Cartography (CSGPC) in Beijing, China from June 28 to July 2, 2021. It was a hybrid conference with in-person and online attendants. In total, the Assembly was attended by 146 in-person participants and 1,123 online participants. The theme of the Assembly was Geodesy for a Sustainable Earth. 613 contributions (255 oral presentations and 358 poster presentations) covered all topics of the broad spectrum considered by the IAG: geodetic reference frames, Earth gravity field modelling, Earth rotation and geodynamics, positioning and applications, the Global Geodetic Observing System (GGOS), geodesy for climate research, marine geodesy, and novel sensors and quantum technology for geodesy. All published papers were peer-reviewed, and we warmly recognize the contributions and support of the Associate Editors and Reviewers.


Springer Handbook of Global Navigation Satellite Systems

Springer Handbook of Global Navigation Satellite Systems
Author: Peter Teunissen
Publisher: Springer
Total Pages: 1335
Release: 2017-06-16
Genre: Science
ISBN: 3319429280

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This Handbook presents a complete and rigorous overview of the fundamentals, methods and applications of the multidisciplinary field of Global Navigation Satellite Systems (GNSS), providing an exhaustive, one-stop reference work and a state-of-the-art description of GNSS as a key technology for science and society at large. All global and regional satellite navigation systems, both those currently in operation and those under development (GPS, GLONASS, Galileo, BeiDou, QZSS, IRNSS/NAVIC, SBAS), are examined in detail. The functional principles of receivers and antennas, as well as the advanced algorithms and models for GNSS parameter estimation, are rigorously discussed. The book covers the broad and diverse range of land, marine, air and space applications, from everyday GNSS to high-precision scientific applications and provides detailed descriptions of the most widely used GNSS format standards, covering receiver formats as well as IGS product and meta-data formats. The full coverage of the field of GNSS is presented in seven parts, from its fundamentals, through the treatment of global and regional navigation satellite systems, of receivers and antennas, and of algorithms and models, up to the broad and diverse range of applications in the areas of positioning and navigation, surveying, geodesy and geodynamics, and remote sensing and timing. Each chapter is written by international experts and amply illustrated with figures and photographs, making the book an invaluable resource for scientists, engineers, students and institutions alike.


China Satellite Navigation Conference (CSNC) 2020 Proceedings: Volume II

China Satellite Navigation Conference (CSNC) 2020 Proceedings: Volume II
Author: Jiadong Sun
Publisher: Springer
Total Pages: 765
Release: 2020-06-29
Genre: Technology & Engineering
ISBN: 9789811537103

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China Satellite Navigation Conference (CSNC 2020) Proceedings presents selected research papers from CSNC 2020 held during 23th-25th May in Chengdu, China. These papers discuss the technologies and applications of the Global Navigation Satellite System (GNSS), and the latest progress made in the China BeiDou System (BDS) especially. They are divided into 13 topics to match the corresponding sessions in CSNC2020, which broadly covered key topics in GNSS. Readers can learn about the BDS and keep abreast of the latest advances in GNSS techniques and applications.


GPS for Geodesy

GPS for Geodesy
Author: Peter J.G. Teunissen
Publisher: Springer Science & Business Media
Total Pages: 629
Release: 2012-12-06
Genre: Science
ISBN: 3642720110

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An in-depth description of the theory and mathematical models behind the application of the global positioning system in geodesy and geodynamics. The contributions by leading experts in the field ensure a continuous flow of ideas and developments. The mathematical models for GPS measurements are developed in the first half of the book, and these are followed by GPS solutions for geodetic applications on local, regional and global scales.


The GNSS Integer Ambiguities

The GNSS Integer Ambiguities
Author: Sandra Verhagen
Publisher:
Total Pages: 204
Release: 2005
Genre: Geodesy
ISBN:

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Fast and high precision relative positioning with a Global Navigations Satellite System (GNSS) is only possible by using the very precise carrier phase measurements. However, these carrier phases are ambiguous by an unknown 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.


GNSS – Global Navigation Satellite Systems

GNSS – Global Navigation Satellite Systems
Author: Bernhard Hofmann-Wellenhof
Publisher: Springer Science & Business Media
Total Pages: 537
Release: 2007-11-20
Genre: Science
ISBN: 3211730176

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This book extends the scientific bestseller "GPS - Theory and Practice" to cover Global Navigation Satellite Systems (GNSS) and includes the Russian GLONASS, the European system Galileo, and additional systems. The book refers to GNSS in the generic sense to describe the various existing reference systems for coordinates and time, the satellite orbits, the satellite signals, observables, mathematical models for positioning, data processing, and data transformation. This book is a university-level introductory textbook and is intended to serve as a reference for students as well as for professionals and scientists in the fields of geodesy, surveying engineering, navigation, and related disciplines.