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The Illustrated Wavelet Transform Handbook


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Table of Contents

Introduction. Continuous and Discrete Wavelet Transform Theory. Fluids. Engineering Testing, Monitoring, and Characterization. Medicine. Fractals, Finance, Geophysics, and other Areas.

About the Author

Paul S. Addison is a technical fellow who currently runs the R&D Department at Covidien.


"The second edition, a revised and extended version of the `illustrated wavelet transform handbook' presents in a first part an introduction to wavelets from the user perspective and then in a second part a broad spectrum of applications in different fields in science, engineering, medicine and finance...The different applications show the interdisciplinary nature of wavelet transforms and their impact in science and technology. The book is well-suited for practical users of wavelets to get an idea of wavelets and applications in different fields, without demanding too much theory and mathematical background. In conclusion, a practical book on wavelets for users of wavelet tools, who do not want to deal with mathematical details and are ready to renounce rigor of mathematics. Many references and numerous examples in different fields give an overview on this rapidly emerging field."
- Kai Schneider (Marseille), in Zentralblatt MATH 1376.

"Paul Addison has written a masterfully clear and readable primer on wavelet analysis methods and their many uses in science and engineering. His mathematical expressions are elegant and useful. This book was indispensable to me as I worked to apply wavelet analysis to the radial structure of Saturn's rings. I am excited now to see this second edition appear with an extensively updated discussion of how wavelet methods are being used across a wide variety of disciplines."
-Matthew S. Tiscareno, Senior Research Scientist, SETI Institute, California

"Everything you want to know about wavelets in one book - from the inception of the wavelet transform to its widespread application across the World of Science! This 2nd edition of The Illustrated Wavelet Transform Handbook contains additional details about theoretical aspects of continuous and discrete wavelet transforms and provides state-of-the-art examples of wavelet applications. The numerous illustrations that the book contains make complex wavelet concepts accessible to university students and practitioners across many fields like astronomy, engineering, finance, geophysics and medicine."
-Mathieu J. Duchesne, Research Geoscientist, Geological Survey of Canada

"Being familiar with the basic concepts and tools provided by wavelet methods is essential for those working with time-frequency analysis of signals. Therefore, this completely revised and enlarged second edition of 'The Illustrated Wavelet Transform Handbook' will be invaluable for students and professionals working in the natural sciences, in particular in engineering and biomedicine, who wish to analyse and interpret complex time-series without delving into too much mathematical depth. The book is clearly written and, due to a multitude of graphical representations and illustrative real-life examples, it is easy to understand the basic ideas of the different wavelet techniques. This 2nd edition contains interesting new material; for example, exploring the testing and monitoring of engineering structures, in addition to damage detection and control, and an analysis of biomedical time-series. These discussions reflect the expertise the author has gained working in a global medical device company. This comprehensive treatise on the wavelet transform is, therefore, highly recommended."
-Dr. Maria Haase, formerly of the Institut fur Hoechstleistungsrechnen, Universitat Stuttgart

"This second edition of The Illustrated Wavelet Transform Handbook treats the reader to a beautifully balanced coverage of its field. The theory behind wavelets is presented thoroughly for both continuous and discrete wavelet transforms, enabling the reader easily to gain a firm understanding of the theoretical underpinning of what can be a somewhat daunting mathematical concept for newcomers. These two chapters alone would make the book a highly valuable resource for students and researchers wanting to gain a thorough understanding of the field; however, there then follow four further chapters that illustrate how wavelets have been used in an enormously wide range of contexts. The applications cover an astonishing variety of topics and the inclusion of them all within a single volume should encourage the reader to explore how techniques with which they might be familiar have been exploited in contexts with which they are unfamiliar. This book is thus not just a valuable textbook for students, but a highly useful resource for anybody working (or wanting to work) in the field of wavelet analysis. It should be the first point of reference in its field."
-Stephen Payne, Associate Professor in Biomedical Engineering, University of Oxford

"Wavelets are now a developed powerful tool in data analysis used in many disciplines to gain insights into complex phenomena. This book provides not only an excellent fundamental guide to the mathematical basis of wavelet transforms but more importantly a thorough presentation on their application and interpretation. Graphical representation is ever more important in the analysis and interrogation of large data sets hence the author's emphasis on an illustrated enunciation. The first edition of the book was the reference most consulted personally and recommended to students and colleagues alike and the second edition will undoubtedly be more so."
-Paul Brandner, Cavitation Research Laboratory, University of Tasmania, Australia

Praise for the First Edition:

"The book works on two levels: it is an excellent introduction for readers new to wavelet transforms, and it is a useful source of information and some inspiration to anyone who has been working in the field for some time. ... The book presents the field in an authoritative way but not too deeply. It has been designed as an overview and introduction to this dynamic area of computational analysis, and it achieves this with complete success. To conclude, I found this a thought provoking book on a fascinating subject: in fact once into the text I found it hard to put down."
-Dr. K.O. Jones, Measurement+Control, Vol. 36/7, Sept. 2003

"The book is extremely well put together and lavishly illustrated (as one might infer from the title). ... I largely enjoyed reading this book and I strongly recommend it to anyone with an interest in wavelets, or in the general field of signal processing for that matter."
-Keith Worden, Journal of Sound and Vibration, 274 (2004) 1135-1136

"... nicely organized and thoroughly pedagogical handbook ... The book is very much 'figure driven' and they are extremely useful for illustrating the mathematics and conveying the concepts in an uncomplicated matter ... an eminently readable style in motivating and explaining wavelets throughout the course ... this book, written as it is in a simple, forthright, and stimulating manner with balanced blend will prove a worthy addition to the understanding of wavelet transforms across disciplines."
-Guruprasad Madhavan, Stony Brook Heart Center, IEEE-EMBS

"The book ... provide[s] the reader with an overview of theory and practical applications of wavelet transforms methods, a new time-frequency decomposition tool for data analysis ... The book can be recommended to the people interested above all in applications in science, engineering, medicine, finance, or elsewhere. An account of the theory of continuous and discrete wavelet transforms, with a large number of examples of their use across a wide range of disciplines, is convenient both for newcomers to the subject ad readers already acquainted with wavelets methods working in particular area of application."
-Miloslav Duchori

"Illustrations really do help in understanding wavelet transforms. It might be taken for granted that illustrations can aid in the understanding of a subject matter as this, but there is sound logical reasoning behind this claim that makes it especially true for this particular subject matter and also a great motivation for the text. This handbook goes the distance and shows that wavelet transforms are powerful data analysis tools that readily lend themselves to intuitive visual analysis and graphical representation, both of which can be critical to correct analysis in practice."
-Raymond Martin

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