The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance

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9780750306928: The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance
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The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications.

The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study.

The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

PREFACE
GETTING STARTED

THE CONTINUOUS WAVELET TRANSFORM
Introduction
The Wavelet
Requirements for the Wavelet
The Energy Spectrum of the Wavelet
The Wavelet Transform
Identification of Coherent Structures
Edge Detection
The Inverse Wavelet Transform
The Signal Energy: Wavelet-Based Energy and Power Spectra
The Wavelet Transform in Terms of the Fourier Transform
Complex Wavelets: The Morlet Wavelet
The Wavelet Transform, Short Time Fourier Transform and Heisenberg Boxes
Adaptive Transforms: Matching Pursuits
Wavelets in Two or More Dimensions
The CWT: Computation, Boundary Effects and Viewing
Endnotes

THE DISCRETE WAVELET TRANSFORM
Introduction
Frames and Orthogonal Wavelet Bases
Discrete Input Signals of Finite Length
Everything Discrete
Daubechies Wavelets
Translation Invariance
Biorthogonal Wavelets
Two-Dimensional Wavelet Transforms
Adaptive Transforms: Wavelet Packets
Endnotes

FLUIDS
Introduction
Statistical Measures
Engineering Flows
Geophysical Flows
Other Applications in Fluids and Further Resources

ENGINEERING TESTING, MONITORING AND CHARACTERISATION
Introduction
Machining Processes: Control, Chatter, Wear and Breakage
Rotating Machinery
Dynamics
Chaos
Non-Destructive Testing
Surface Characterisation
Other Applications in Engineering and Further Resources

MEDICINE
Introduction
The Electrocardiogram
Neuroelectric Waveforms
Pathological Sounds, Ultrasounds and Vibrations
Blood Flow and Blood Pressure
Medical Imaging
Other Applications in Medicine

FRACTALS, FINANCE, GEOPHYSICS AND OTHER AREAS
Introduction
Fractals
Finance
Geophysics
Other Areas

APPENDIX: USEFUL BOOKS, PAPERS AND WEBSITES
Useful Books and Papers
Useful Websites

REFERENCES
INDEX

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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