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Author : B.M. Båth
Publisher : Elsevier
Page : 580 pages
File Size : 52,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444599988
Spectral Analysis in Geophysics
Author : Burkhard Buttkus
Publisher : Springer Science & Business Media
Page : 665 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642570162
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.
Author : Christopher Jekeli
Publisher : CRC Press
Page : 519 pages
File Size : 49,7 Mb
Release : 2017-10-02
Category : Mathematics
ISBN : 9781351644945
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.
Author : Michael Burianyk
Publisher : SEG Books
Page : 94 pages
File Size : 55,9 Mb
Release : 2019-05-15
Category : Science
ISBN : 9781560803577
Written for students as well as professionals who work with and support geophysicists, this book presents a simple and informal discussion of fundamental concepts which underlie the quantitative part of geophysical analysis and interpretation. These general concepts are applicable for an analytical approach to any phenomena that can be measured and recorded. With examples and figures created using Microsoft Excel®, this book is accessible and insightful. Topics covered include: the concept of signals based on the sine function; the summation of sine waves as a more complicated signal; the notion of Fourier series and the spectral representation of signals; digital sampling and discrete representation of signals; the discrete Fourier transform and inverse transform; the concept of filtering in the spectral domain; and the idea of filtering outside of the spectral domain, by convolution, and the relationship between the measurement and spectral domains. This book will be valuable for geologists, junior seismic interpreters, software developers, high school and university students, and geophysical professionals seeking a refresher of the basic concepts.
Author : E. R. Kanasewich
Publisher : University of Alberta
Page : 500 pages
File Size : 49,5 Mb
Release : 1981
Category : Science
ISBN : 0888640749
Time sequence analysis is the study of relations between a sequence of data points or sequence of signals in order to determine the physical properties of the earth. Providing an up-to-date treatment on time series and time sequence, this book is intended for senior or graduate students in seismology, geomagnetism and exploratory geophysics.
Author : Markus Båth
Publisher : Unknown
Page : 544 pages
File Size : 44,7 Mb
Release : 1995
Category : Geophysics
ISBN : UOM:39015050444218
Author : Enders A. Robinson,Sven Treitel
Publisher : SEG Books
Page : 481 pages
File Size : 40,8 Mb
Release : 2000
Category : Digital filters (Mathematics).
ISBN : 9781560801047
Addresses the construction, analysis, and interpretation of mathematical and statistical models. The practical use of the concepts and techniques developed is illustrated by numerous applications. The chosen examples will interest many readers, including those engaged in digital signal analysis in disciplines other than geophysics.
Author : Markus Båth
Publisher : Unknown
Page : 518 pages
File Size : 43,7 Mb
Release : 1992
Category : Geophysics
ISBN : OCLC:186344083
Author : Donald G. Childers
Publisher : IEEE Computer Society Press
Page : 348 pages
File Size : 53,5 Mb
Release : 1978
Category : Science
ISBN : PSU:000006603052
Author : Donald G. Wilson
Publisher : Unknown
Page : 54 pages
File Size : 42,7 Mb
Release : 1970
Category : Geophysics
ISBN : ERDC:35925000758943
Computing time dependent power spectra is an important method for studying nonstationarities in signals. An efficient procedure for computing such spectra and displaying them immediately is requisite for effective application. The method presented is based on a date window which moves along the signal in unit increments. The spectrum is updated for each new sample. All spectra are displayed on a computer graphic terminal and the algorithm was deliberately constructed to make computer graphic display efficient. (Author).
Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 616 pages
File Size : 55,6 Mb
Release : 1993-06-03
Category : Mathematics
ISBN : 0521435412
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.
Author : L. H. Koopmans
Publisher : Academic Press
Page : 383 pages
File Size : 55,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483218540
The Spectral Analysis of Time Series describes the techniques and theory of the frequency domain analysis of time series. The book discusses the physical processes and the basic features of models of time series. The central feature of all models is the existence of a spectrum by which the time series is decomposed into a linear combination of sines and cosines. The investigator can used Fourier decompositions or other kinds of spectrals in time series analysis. The text explains the Wiener theory of spectral analysis, the spectral representation for weakly stationary stochastic processes, and the real spectral representation. The book also discusses sampling, aliasing, discrete-time models, linear filters that have general properties with applications to continuous-time processes, and the applications of multivariate spectral models. The text describes finite parameter models, the distribution theory of spectral estimates with applications to statistical inference, as well as sampling properties of spectral estimates, experimental design, and spectral computations. The book is intended either as a textbook or for individual reading for one-semester or two-quarter course for students of time series analysis users. It is also suitable for mathematicians or professors of calculus, statistics, and advanced mathematics.
Author : Silvia Maria Alessio
Publisher : Springer
Page : 900 pages
File Size : 53,6 Mb
Release : 2015-12-09
Category : Technology & Engineering
ISBN : 9783319254685
This book covers the basics of processing and spectral analysis of monovariate discrete-time signals. The approach is practical, the aim being to acquaint the reader with the indications for and drawbacks of the various methods and to highlight possible misuses. The book is rich in original ideas, visualized in new and illuminating ways, and is structured so that parts can be skipped without loss of continuity. Many examples are included, based on synthetic data and real measurements from the fields of physics, biology, medicine, macroeconomics etc., and a complete set of MATLAB exercises requiring no previous experience of programming is provided. Prior advanced mathematical skills are not needed in order to understand the contents: a good command of basic mathematical analysis is sufficient. Where more advanced mathematical tools are necessary, they are included in an Appendix and presented in an easy-to-follow way. With this book, digital signal processing leaves the domain of engineering to address the needs of scientists and scholars in traditionally less quantitative disciplines, now facing increasing amounts of data.
Author : S. Lawrence Marple, Jr.
Publisher : Courier Dover Publications
Page : 435 pages
File Size : 51,5 Mb
Release : 2019-03-20
Category : Technology & Engineering
ISBN : 9780486838861
Designed to offer a broad perspective on spectral estimations techniques and their implementation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. 1987 edition.
Author : David Gubbins
Publisher : Cambridge University Press
Page : 272 pages
File Size : 41,6 Mb
Release : 2004-03-18
Category : Science
ISBN : 0521819652
Covering spectral analysis as well as inversion of geophysical data, David Gubbins introduces the necessary theory and techniques and then demonstrates how they may be practically applied to interpret various types of geophysical signals, including seismic, magnetic and gravity data. Featuring summary boxes, extensive mathematical and computing exercises (solutions and software available on the Internet), and a set of mathematical appendices, this textbook will prove invaluable to geophysics students and instructors.