Spectral Methods In Geodesy And Geophysics

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Spectral Methods In Geodesy And Geophysics

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Author : Christopher Jekeli
language : en
Publisher: CRC Press
Release Date : 2017-10-02

Spectral Methods In Geodesy And Geophysics written by Christopher Jekeli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Mathematics categories.

The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.

Spectral Methods In Geodesy And Geophysics

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Author : Christopher Jekeli
language : en
Publisher: CRC Press
Release Date : 2017-10-02

Spectral Methods In Geodesy And Geophysics written by Christopher Jekeli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Mathematics categories.

The text develops the principal aspects of applied Fourier analysis and methodology with the main goal to inculcate a different way of perceiving global and regional geodetic and geophysical data, namely from the perspective of the frequency, or spectral, domain rather than the spatial domain. The word "methods" in the title is meant to convey that the transformation of a geophysical signal into the spectral domain can be applied for purposes of analysis as well as rapid computation. The text is written for graduate students; however, Chapters 1 through 4 and parts of 5 can also benefit undergraduates who have a solid and fluent knowledge of integral and differential calculus, have some statistical background, and are not uncomfortable with complex numbers. Concepts are developed by starting from the one-dimensional domain and working up to the spherical domain, which is part of every chapter. Many concepts are illustrated graphically with actual geophysical data primarily from signals of gravity, magnetism, and topography.

Spectral Analysis And Filter Theory In Applied Geophysics

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Author : Burkhard Buttkus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Spectral Analysis And Filter Theory In Applied Geophysics written by Burkhard Buttkus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This book is intended to be an introduction to the fundamentals and methods of spectral analysis and filter theory and their appli cations in geophysics. The principles and theoretical basis of the various methods are described, their efficiency and effectiveness eval uated, and instructions provided for their practical application. Be sides the conventional methods, newer methods arediscussed, such as the spectral analysis ofrandom processes by fitting models to the ob served data, maximum-entropy spectral analysis and maximum-like lihood spectral analysis, the Wiener and Kalman filtering methods, homomorphic deconvolution, and adaptive methods for nonstation ary processes. Multidimensional spectral analysis and filtering, as well as multichannel filters, are given extensive treatment. The book provides a survey of the state-of-the-art of spectral analysis and fil ter theory. The importance and possibilities ofspectral analysis and filter theory in geophysics for data acquisition, processing and eval uation are illustrated with practical examples from various fields of applied geophysics. Although this book was planned primarily as a textbook for a course on the analysis of geophysical time· series, it may also be of interest to scientists and engineers who process other digital data. It provides a comprehensive discussion of the theoretical fundamen tals and a compilation of the extensive literature on the subject. I hope that I have succeeded in presenting the various principles and methods of time-series analysis comprehensively and without error. Comments on errors or suggestions for improvements are welcome.

Spectral Methods For The Estimation Of The Effective Elastic Thickness Of The Lithosphere

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Author : Jonathan Kirby
language : en
Publisher: Springer Nature
Release Date : 2022-11-25

Spectral Methods For The Estimation Of The Effective Elastic Thickness Of The Lithosphere written by Jonathan Kirby and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-25 with Science categories.

Although several excellent works exist that describe the effective elastic thickness (Te) of the lithosphere—its theory, significance and relevance to Earth sciences in general—none cover the details of the methods for its estimation. This book brings together the disparate knowledge required to estimate Te in one handy volume: signal processing, harmonic analysis, civil engineering, and foundational mathematics and physics, in addition to the relevant geophysics and, to a lesser extent, geology. Its two principal focus areas are spectral estimation, covering various approaches to estimating the admittance and coherence between gravity and topography using Slepian multitapers and fan wavelets; and algebraic and finite difference solutions of the plate bending partial differential equation in a variety of geological settings. This book would be suitable for postgraduate students beginning their research, up to faculty professors interested in diversifying their skills.

Inertial Navigation Systems With Geodetic Applications

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Author : Christopher Jekeli
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-07-24

Inertial Navigation Systems With Geodetic Applications written by Christopher Jekeli and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-24 with Science categories.

This book covers all aspects of inertial navigation systems (INS), including the sensor technology and the estimation of instrument errors, as well as their integration with Global Navigation Satellite Systems, specifically the Global Positioning System (GPS) for geodetic applications. The text is of interest to geodesists, including surveyors, mappers, and photogrammetrists; to engineers in aviation, navigation, guidance, transportation, and robotics; and to scientists involved in aerogeophysics and remote sensing. The most recent developments are covered with this second edition that also features an updated treatment of the classical material. Detailed mathematical derivations of the principles of measurement and data processing of inertial measurement units for both stabilized and strapdown systems. Complete treatment of the error dynamics from a statistical viewpoint, including the Kalman filter. A self-contained description of GPS with emphasis on kinematic applications. Key concepts supported by illustrations and numerical examples.

Nbs Technical Note

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Author :
language : en
Publisher:
Release Date : 1981

Nbs Technical Note written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Physical instruments categories.

X Hotine Marussi Symposium On Mathematical Geodesy

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Author : Jeffrey T. Freymueller
language : en
Publisher: Springer Nature
Release Date : 2024-05-27

X Hotine Marussi Symposium On Mathematical Geodesy written by Jeffrey T. Freymueller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-27 with Science categories.

This open access volume contains the proceedings of the X Hotine-Marussi Symposium on Mathematical Geodesy which was held from 13 to 17 June 2022 at the Politecnico di Milano, Milan, Italy. Since 2006 the series of the Hotine-Marussi Symposia has been under the responsibility of the Inter-Commission Committee on Theory (ICCT) within the International Association of Geodesy (IAG). The ICCT organized the last five Hotine-Marussi Symposia held in Wuhan (2006), Rome (2009, 2013 and 2018), and Milan (2022). The overall goal of the ICCT and Hotine-Marussi Symposia has always been to advance geodetic theory which is indeed documented by the 22 research articles published in these proceedings. The jubilee X Hotine-Marussi Symposium was organized in 10 topical sessions covering all parts of geodetic theory including reference frames, gravity field modelling, adjustment theory, height systems, time series analysis, or advanced numerical methods. In total, 60 participants attended the Symposium who delivered 62 oral and 18 poster presentations. During a special session, five invited speakers discussed two basic concepts of physical geodesy – geoid and quasigeoid.

Physical Geodesy

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Author : Jun-Yi Guo
language : en
Publisher: Springer Nature
Release Date : 2023-03-11

Physical Geodesy written by Jun-Yi Guo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-11 with Computers categories.

This textbook introduces physical geodesy. It treats the boundary-value theories of the discipline comprehensively, and provides insights to the theory of gravity reduction based on a spherical Earth model. This book is for students who wish to thoroughly understand the material and to expand their knowledge and skills in mathematics for more advanced study and research in this discipline. The details of mathematical derivations included are a useful asset for instructors and researchers.

The Bispectrum And Higher Order Spectra

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Author : P. V. Tryon
language : en
Publisher:
Release Date : 1981

The Bispectrum And Higher Order Spectra written by P. V. Tryon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Spectrum analysis categories.

Satellite Altimetry For Geodesy Geophysics And Oceanography

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Author : Cheinway Hwang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Satellite Altimetry For Geodesy Geophysics And Oceanography written by Cheinway Hwang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This volume covers a broad range of altimetry applications, including marine gravity and geoid, sea level change, ocean tide modeling, ocean circulations, marine plate tectonics, mesoscale eddies and bathymetry predictions. Virtually all disciplines of earth sciences are touched upon through the technique of satellite altimetry. Readers will find useful data processing techniques and novel applications of satellite altimetry, which otherwise are scattered in journals and special books.