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Spectral Analysis and Filter Theory in Applied Geophysics

Autor Burkhard Buttkus
en Limba Engleză Paperback – 22 oct 2012
This state-of-the-art survey serves as a complete overview of the subject. Besides the principles and theoretical foundations, emphasis is laid on practical applicability -- describing not only classical methods, but also modern developments and their applications. Students, researchers and practitioners, especially in the fields of data registration, treatment and evaluation, will find this a wealth of information.
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Specificații

ISBN-13: 9783642629433
ISBN-10: 3642629431
Pagini: 688
Ilustrații: XV, 667 p.
Dimensiuni: 155 x 235 x 36 mm
Greutate: 0.95 kg
Ediția:Softcover reprint of the original 1st ed. 2000
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Professional/practitioner

Descriere

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.

Cuprins

I Spectral Analysis of Deterministic Processes.- 1 Fourier Series Representation of Periodic Functions.- 2 Spectral Representation of Nonperiodic Processes.- 3 The Dirac Delta Function and its Fourier Transform.- 4 Spectral Analysis of Time-Limited Observations of Infinitely Long Processes.- 5 Spectral Analysis of Discrete Functions.- 6 z-Transform Representation of Time Series.- 7 Examples of the Use of the Fourier Transform in Applied Seismics.- II Spectral Analysis of Random Processes.- 8 Characterization of Random Processes in the Time and Frequency Domains.- 9 Estimation of the Power Spectral Density Function.- 10 Evaluation of Magnetotelluric Survey Data.- III Spectral Analysis of Random Processes by Model Fitting.- 11 Spectral Estimation by Model Fitting.- 12 Estimating Power Spectra using Criteria from Information Theory.- IV Fundamentals of Filter Theory.- 13 Filtering from the Viewpoint of System Theory.- 14 Filtering in the Frequency Domain.- V Digital Filtering.- 15 Basics of Digital Filtering.- 16 Filtering using Simple Mathematical Operations.- 17 Designing Nonrecursive Digital Filters of Finite Length.- 18 Synthesis of Recursive Digital Filters.- VI Fundamentals of Optimum Filtering.- 19 Designing Analog and Digital Optimum Filters.- 20 Application of Optimum Filters to Reflection Seismic Data.- 21 Kalman Filters.- VII Fundamentals of Deconvolution and their Application to Reflection Seismic Data.- 22 Mathematical Basis of Deconvolution.- 23 Deconvolution: Problems and Approaches in Reflection Seismics.- VIII Multidimensional and Multichannel Filters.- 24 Multidimensional Filters.- 25 Two-Dimensional Filters for Gravity and Magnetic Data.- 26 Multichannel Filtering of Seismic Data.- Author Index.

Caracteristici

Broad spectrum of applications
Treatment of classical and modern methods
Both theoretical and practical aspects