Spectral Analysis and Filter Theory in Applied Geophysics [E-Book] / by Burkhard Buttkus.
Buttkus, Burkhard, (author)
Berlin, Heidelberg : Springer, 2000
XV, 667 p. online resource.
englisch
9783642570162
10.1007/978-3-642-57016-2
Full Text
Table of Contents:
  • 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.