Modern Spectral Analysis With Geophysical Applications
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Spectral Analysis and Filter Theory in Applied Geophysics
| Author | : Burkhard Buttkus |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 698 |
| Release | : 2000-03-27 |
| Genre | : Mathematics |
| ISBN | : 9783540626749 |
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.
Spectral Analysis for Physical Applications
| Author | : Donald B. Percival |
| Publisher | : Cambridge University Press |
| Total Pages | : 616 |
| Release | : 1993-06-03 |
| Genre | : Mathematics |
| ISBN | : 9780521435413 |
This book is an up-to-date introduction to univariate spectral analysis at the graduate level, which reflects a new scientific awareness of spectral complexity, as well as the widespread use of spectral analysis on digital computers with considerable computational power. The text provides theoretical and computational guidance on the available techniques, emphasizing those that work in practice. Spectral analysis finds extensive application in the analysis of data arising in many of the physical sciences, ranging from electrical engineering and physics to geophysics and oceanography. A valuable feature of the text is that many examples are given showing the application of spectral analysis to real data sets. Special emphasis is placed on the multitaper technique, because of its practical success in handling spectra with intricate structure, and its power to handle data with or without spectral lines. The text contains a large number of exercises, together with an extensive bibliography.
Information-Based Inversion and Processing with Applications
| Author | : T.J. Ulrych |
| Publisher | : Elsevier |
| Total Pages | : 437 |
| Release | : 2005-12-16 |
| Genre | : Science |
| ISBN | : 0080461344 |
Information-Based Inversion and Processing with Applications examines different classical and modern aspects of geophysical data processing and inversion with emphasis on the processing of seismic records in applied seismology. Chapter 1 introduces basic concepts including: probability theory (expectation operator and ensemble statistics), elementary principles of parameter estimation, Fourier and z-transform essentials, and issues of orthogonality. In Chapter 2, the linear treatment of time series is provided. Particular attention is paid to Wold decomposition theorem and time series models (AR, MA, and ARMA) and their connection to seismic data analysis problems. Chapter 3 introduces concepts of Information theory and contains a synopsis of those topics that are used throughout the book. Examples are entropy, conditional entropy, Burg's maximum entropy spectral estimator, and mutual information. Chapter 4 provides a description of inverse problems first from a deterministic point of view, then from a probabilistic one. Chapter 5 deals with methods to improve the signal-to-noise ratio of seismic records. Concepts from previous chapters are put in practice for designing prediction error filters for noise attenuation and high-resolution Radon operators. Chapter 6 deals with the topic of deconvolution and the inversion of acoustic impedance. The first part discusses band-limited extrapolation assuming a known wavelet and considers the issue of wavelet estimation. The second part deals with sparse deconvolution using various 'entropy' type norms. Finally, Chapter 7 introduces recent topics of interest to the authors. The emphasis of this book is on applied seismology but researchers in the area of global seismology, and geophysical signal processing and inversion will find material that is relevant to the ubiquitous problem of estimating complex models from a limited number of noisy observations. - Non-conventional approaches to data processing and inversion are presented - Important problems in the area of seismic resolution enhancement are discussed - Contains research material that could inspire graduate students and their supervisors to undertake new research directions in applied seismology and geophysical signal processing
Advances in Data, Methods, Models and Their Applications in Geoscience
| Author | : DongMei Chen |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 354 |
| Release | : 2011-12-22 |
| Genre | : Science |
| ISBN | : 9533077379 |
With growing attention on global environmental and climate change, geoscience has experienced rapid change and development in the last three decades. Many new data, methods and modeling techniques have been developed and applied in various aspects of geoscience. The chapters collected in this book present an excellent profile of the current state of various data, analysis methods and modeling techniques, and demonstrate their applications from hydrology, geology and paleogeomorphology, to geophysics, environmental and climate change. The wide range methods and techniques covered in the book include information systems and technology, global position system (GPS), digital sediment core image analysis, fuzzy set theory for hydrology, spatial interpolation, spectral analysis of geophysical data, GIS-based hydrological models, high resolution geological models, 3D sedimentology, change detection from remote sensing, etc. Besides two comprehensive review articles, most chapters focus on in-depth studies of a particular method or technique.
Modern Singular Spectral-Based Denoising and Filtering Techniques for 2D and 3D Reflection Seismic Data
| Author | : R. K. Tiwari |
| Publisher | : Springer Nature |
| Total Pages | : 165 |
| Release | : 2020-03-25 |
| Genre | : Science |
| ISBN | : 3030193047 |
This book discusses the latest advances in singular spectrum-based algorithms for seismic data processing, providing an update on recent developments in this field. Over the past few decades, researchers have extensively studied the application of the singular spectrum-based time and frequency domain eigen image methods, singular spectrum analysis (SSA) and multichannel SSA for various geophysical data. This book addresses seismic reflection signals, which represent the amalgamated signals of several unwanted signals/noises, such as ground roll, diffractions etc. Decomposition of such non-stationary and erratic field data is one of the multifaceted tasks in seismic data processing. This volume also includes comprehensive methodological and parametric descriptions, testing on appropriately generated synthetic data, as well as comparisons between time and frequency domain algorithms and their applications to the field data on 1D, 2D, 3D and 4D data sets. Lastly, it features an exclusive chapter with MATLAB coding for SSA.
Introduction to Applied Statistical Signal Analysis
| Author | : Richard Shiavi |
| Publisher | : Elsevier |
| Total Pages | : 424 |
| Release | : 2010-07-19 |
| Genre | : Technology & Engineering |
| ISBN | : 0080467687 |
Introduction to Applied Statistical Signal Analysis, Third Edition, is designed for the experienced individual with a basic background in mathematics, science, and computer. With this predisposed knowledge, the reader will coast through the practical introduction and move on to signal analysis techniques, commonly used in a broad range of engineering areas such as biomedical engineering, communications, geophysics, and speech. Topics presented include mathematical bases, requirements for estimation, and detailed quantitative examples for implementing techniques for classical signal analysis. This book includes over one hundred worked problems and real world applications. Many of the examples and exercises use measured signals, most of which are from the biomedical domain. The presentation style is designed for the upper level undergraduate or graduate student who needs a theoretical introduction to the basic principles of statistical modeling and the knowledge to implement them practically. Includes over one hundred worked problems and real world applications. Many of the examples and exercises in the book use measured signals, many from the biomedical domain.
Covariance Analysis for Seismic Signal Processing
| Author | : R. Lynn Kirlin |
| Publisher | : SEG Books |
| Total Pages | : 355 |
| Release | : 1999 |
| Genre | : Science |
| ISBN | : 156080081X |
Rather than address one seismic data-processing problem and present several methods, this book presents one fundamental methodology - analysis of the sample covariance matrix - and many seismic data problems to which it applies, providing the geophysical signal analyst with sufficient material to understand the usefulness of this approach.
