Spectral Methods in Geodesy and Geophysics  book cover
1st Edition

Spectral Methods in Geodesy and Geophysics

ISBN 9780367781828
Published March 31, 2021 by CRC Press
430 Pages

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Book Description

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.

Table 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.

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Christopher Jekeli