Spectral Methods in Geodesy and Geophysics

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.

List of contents

Introduction. Fourier Transforms of Functions on the Continuous Domain. Convolutions and Windows on the Continuous Domain. Transforms, Convolutions, and Windows on the Discrete Domain. Correlation and Power Spectrum. Applications in Geodesy and Geophysics. References. Exercises.

About the author

Christopher Jekeli

Summary

This book is a fundamental text covering the general spatial signals on the spatial signals on the plane and sphere. It includes information on spectral methods in geophysics and geodesy, but serves as more of a wider, introductory text with a unique perspective for students in the geosciences fields.

Product details

• Authors: Christopher Jekeli, Christopher (Ohio State University Jekeli, Jekeli Christopher
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.05.2021
• EAN: 9780367781828
• ISBN: 978-0-367-78182-8
• No. of pages: 416
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; SCIENCE / Life Sciences / General, Geophysics, MATHEMATICS / Number Systems, SCIENCE / Earth Sciences / General, SCIENCE / Physics / Geophysics, SCIENCE / Spectroscopy & Spectrum Analysis, computer science, Earth Sciences, Information technology: general issues, Human Geography, Information technology: general topics, Geographical information systems (GIS) & remote sensing, Geographical information systems, geodata and remote sensing