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Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of:
- a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc
- a section on lifting algorithms
- Sections on Edge Detection and Geophysical Applications
- Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems
- Sales Rank: #1277985 in Books
- Published on: 2011-02-22
- Original language: English
- Number of items: 1
- Dimensions: 9.50" h x 1.02" w x 6.45" l, 1.49 pounds
- Binding: Hardcover
- 359 pages
Review
"This book provides a thorough treatment of wavelet theory and is very convenient for graduate students and researchers in electrical engineering, physics, and applied mathematics." (Zentralblatt MATH, 2011)
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From the Back Cover
Now updated—the authoritative treatment of wavelets from an engineering point of view
Wavelet theory originated from research activities in many areas of science and engineering. As a result, it finds applications in a wide range of practical problems. Wavelet techniques are specifically suited for nonstationary signals for which classic Fourier methods are ineffective. Developments over the last decade have led to many new wavelet applications such as image compression, turbulence, human vision, radar, and earthquake prediction.
Based on courses taught by the authors at Texas A&M University as well as related conferences, Fundamentals of Wavelets is a textbook offering an up-to-date engineering approach to wavelet theory. It balances a discussion of wavelet theory and algorithms with its far-ranging practical applications in signal processing, image processing, geophysical applications, electromagnetic wave scattering, and boundary value problems.
In a clear, progressive format, the book describes:
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Basic concepts of linear algebra, Fourier analysis, and discrete signal analysis
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Theoretical aspects of time-frequency analysis and multiresolution analysis
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Construction and properties of various real and complex wavelets and curvelets
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Algorithms for computing wavelet transformations
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Applications to signal processing, geophysical applications, and boundary value problems
This Second Edition features new sections on curvelets, ridgelets, and lifting wavelet transforms; complex wavelets; edge detection and geophysical applications; and multiresolution time domain method. It covers time-frequency analysis techniques such as short-time Fourier transform and Wigner-Ville distribution. Concluding chapters present interesting applications of wavelets to signal processing and boundary value problems. Numerous examples and figures are also included along with simple matlab� programs.
Fundamentals of Wavelets is an essential introduction to wavelet theory for students and professionals alike in a practical, real-world engineering context. It is ideally suited for senior and graduate students in electrical engineering, physics, and mathematics; research engineers and physicists; and design and software engineers in the telecommunications and signal processing industries.
About the Author
Jaideva C. Goswami, PhD, is an Engineering Advisor at Schlumberger in Sugarland, Texas. He is also a former professor of Electronics and Communication Engineering at the Indian Institute of Technology, Kharagpur. Dr. Goswami has taught several short courses on wavelets and contributed to the Wiley Encyclopedia of Electrical and Electronics Engineering as well as Wiley Encyclopedia of RF and Microwave Engineering. He has many research papers and patents to his credit, and is a Fellow of IEEE.
Andrew K. Chan, PhD, is on the faculty of Texas A&M University and is the coauthor of Wavelets in a Box and Wavelet Toolware. He is a Life Fellow of IEEE.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Surely a good fundamental book on the subjet
By Amit Mukherjee
I have been studying in this field for over five years now, and I find the book very comprehensive and fundamental. Compared to most of the popular books on Wavelet analysis, this book touches the subject from its root, and answering some basic questions like what is a wavelet, what is its origin, and how is it is useful for performing Time Scale signal analysis. The best part that I find is that the book perfectly balances a mathematician perspective of the subject matter with that of an Engineer's viewpoint. The reader will find lots of examples, MATLAB codes, illustration and exercises, which are hard to find in other books. The authors have presented the material with a sound theoretical foundation with lots of clearly presented definitions and theorems. The book also introduces a wide range of applications in the field of Signal and Image analysis, data compression, Seismic analysis, etc.
This book has been carefully crafted as opposed to one of those collections of journal articles that just fills in concepts, without explaining them clearly. I would strongly suggest this book for the beginners as well as intermediate level students.
2 of 3 people found the following review helpful.
Good idea; too bad about the errors
By Sigma
The book is in general a good idea but has a fatal flaw - it has many math errors. It looks as if the authors took their lectures on signal theory and shoved them into a wavelet context, without stopping to consider what needs changing. It seems every two pages or so is a significant error. This would be ok *if* there were a published errata, but I have found none via google. What good is a book full of errors?
0 of 0 people found the following review helpful.
and I enjoyed reading it
By davyd_amazon
I have a copy of this book, and I enjoyed reading it. I think, the material is given in a very clear and instructive way: important things are explained in great detail, and the exercises are very useful. This book would be very good for self study, and also as an addition to any other textbook on this subject.
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