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Spectral Analysis and Filter Theory in Applied Geophysics

  • Burkhard Buttkus

Table of contents

  1. Front Matter
    Pages I-XV
  2. Introduction

    1. Burkhard Buttkus
      Pages 1-5
  3. Spectral Analysis of Deterministic Processes

    1. Front Matter
      Pages 7-7
    2. Burkhard Buttkus
      Pages 59-84
    3. Burkhard Buttkus
      Pages 85-100
    4. Back Matter
      Pages 143-148
  4. Spectral Analysis of Random Processes

    1. Front Matter
      Pages 149-149
    2. Burkhard Buttkus
      Pages 179-213
    3. Burkhard Buttkus
      Pages 215-233
    4. Back Matter
      Pages 234-236
  5. Spectral Analysis of Random Processes by Model Fitting

    1. Front Matter
      Pages 237-237
    2. Burkhard Buttkus
      Pages 239-278
    3. Back Matter
      Pages 295-298
  6. Fundamentals of Filter Theory

    1. Front Matter
      Pages 299-299
    2. Burkhard Buttkus
      Pages 301-324
    3. Burkhard Buttkus
      Pages 325-343
    4. Back Matter
      Pages 344-345
  7. Digital Filtering

    1. Front Matter
      Pages 347-347
    2. Burkhard Buttkus
      Pages 349-360
    3. Burkhard Buttkus
      Pages 361-365
    4. Burkhard Buttkus
      Pages 379-403
    5. Back Matter
      Pages 404-405
  8. Fundamentals of Optimum Filtering

    1. Front Matter
      Pages 407-407
    2. Burkhard Buttkus
      Pages 409-438
    3. Burkhard Buttkus
      Pages 455-489
    4. Back Matter
      Pages 490-492
  9. Fundamentals of Deconvolution and their Application to Reflection Seismic Data

    1. Front Matter
      Pages 493-493
    2. Burkhard Buttkus
      Pages 495-514
    3. Back Matter
      Pages 544-546
  10. Multidimensional and Multichannel Filters

    1. Front Matter
      Pages 547-547
    2. Burkhard Buttkus
      Pages 549-580
    3. Burkhard Buttkus
      Pages 609-639
    4. Back Matter
      Pages 640-643
  11. Back Matter
    Pages 645-667

About this book

Introduction

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.

Keywords

Digital data analysis Digitale Datenverarbeitung Dirac delta function Filtertheorie Fourier transform Spektralanalyse convolution filter theory geophysics spectral analysis

Authors and affiliations

  • Burkhard Buttkus
    • 1
  1. 1.Federal Institute for Geosciences and Natural ResourcesHannoverGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-57016-2
  • Copyright Information Springer-Verlag Berlin · Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-62943-3
  • Online ISBN 978-3-642-57016-2
  • Buy this book on publisher's site