Wavelets in the Geosciences

Wavelets in the Geosciences
Author: Roland Klees
Publisher: Springer Science & Business Media
Total Pages: 272
Release: 2000-03-06
Genre: Science
ISBN: 9783540669517

This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences
Author: E. Chandrasekhar
Publisher: Taylor & Francis
Total Pages: 306
Release: 2013-11-20
Genre: Science
ISBN: 146655360X

The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w

Wavelet Transforms and Their Recent Applications in Biology and Geoscience

Wavelet Transforms and Their Recent Applications in Biology and Geoscience
Author: Dumitru Baleanu
Publisher: BoD – Books on Demand
Total Pages: 314
Release: 2012-03-02
Genre: Science
ISBN: 9535102125

This book reports on recent applications in biology and geoscience. Among them we mention the application of wavelet transforms in the treatment of EEG signals, the dimensionality reduction of the gait recognition framework, the biometric identification and verification. The book also contains applications of the wavelet transforms in the analysis of data collected from sport and breast cancer. The denoting procedure is analyzed within wavelet transform and applied on data coming from real world applications. The book ends with two important applications of the wavelet transforms in geoscience.

Wavelets in the Geosciences

Wavelets in the Geosciences
Author: Roland Klees
Publisher: Springer
Total Pages: 250
Release: 2014-03-12
Genre: Science
ISBN: 9783662168684

This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.

Wavelets in Geodesy and Geodynamics

Wavelets in Geodesy and Geodynamics
Author: Wolfgang Keller
Publisher: Walter de Gruyter
Total Pages: 290
Release: 2008-08-22
Genre: Science
ISBN: 3110198185

For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals. The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented. The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level.

Excursions in Harmonic Analysis, Volume 3

Excursions in Harmonic Analysis, Volume 3
Author: Radu Balan
Publisher: Birkhäuser
Total Pages: 344
Release: 2015-06-02
Genre: Mathematics
ISBN: 331913230X

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include · spectral analysis and correlation; · radar and communications: design, theory, and applications; · sparsity · special topics in harmonic analysis. The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Geoscience After IT

Geoscience After IT
Author: T.V. Loudon
Publisher: Elsevier
Total Pages: 159
Release: 2000-12-19
Genre: Science
ISBN: 0080532519

Most geoscientists are aware of recent IT developments, but cannot spend time on obscure technicalities. Few have considered their implications for the science as a whole. Yet the information industry is moving fast: electronic delivery of hyperlinked multimedia; standards to support interdisciplinary and geographic integration; new models to represent and visualize our concepts, and control and manage our activities; plummeting costs that force the pace. To stay on course, the scientist needs a broad appreciation of the complex and profound interactions of geoscience and IT, not previously reviewed in a single work.The book brings together ideas from many sources, some probably unfamiliar, that bear on the geoscience information system. It encourages readers to give thought to areas that, for various reasons, they have taken for granted, and to take a view on forces affecting geoscience, the consequences for themselves and their organisations, and the need to reconsider, adapt and rebuild.Practicing geoscientists with a general interest in how IT will affect their work and influence future directions of the science; geoscientists familiar with IT applications in their own specialist field who need a broader perspective; and students or educators specializing in IT applications in geoscience who require a top-down overview of their subject will find this title valuable. The IT background from this book should help geoscientists build a strategy for the new century.

Principles and Applications of Wavelet Transform

Principles and Applications of Wavelet Transform
Author: Victor Nason
Publisher:
Total Pages: 0
Release: 2015-01-10
Genre: Wavelets (Mathematics)
ISBN: 9781632383716

Significant applications of wavelet transforms in geoscience and biology have been elucidated in this book. Wavelet transforms are one of the most primary candidates in time-frequency transformations. These include application of wavelet transforms in the treatment of EEG signals, biometric recognition and validation, and dimensionality reduction of the gait identification framework. It also elucidates the applications of wavelet transforms in the study of data gathered from sports and breast cancer. The denoting process has been evaluated within the domain of wavelet transform and applied on data garnered from real world applications.