Adapted Wavelet Analysis from Theory to Software

Customer Reviews:

Good balance between theory and practice.......2006-03-13

This book provides a good balance between the mathematical theoretical foundations and the implementation of wavelet algorithms. The chapter of time-frequency analysis is specially relevant, and very hard to find in other books about the topic. The only miss is about more practical implementations of the algorithms.

Reference for implementation of transform algorithms.......2003-09-05

This is the only book i know that is focused on implementation aspects of numerical transforms. It explains quite well the practical issues that are rarely touched in digital signal processing and wavelet textbooks. It spans fourier transforms, cosine, wavelets,... It is rather self-contained, if you have problems with maths you can skip chapter one, other chapters should be quite readable by every science grad student. Be aware that this is not a transform textbook, so you should first learn a few things about numerical transforms, wavelets and subband coding before getting into this one (go to Oppenheim and Schafer for DSP, Vetterli for subband coding). A good textbook for a course on numerical transforms implementation.

*Creating* wavelets!.......2002-10-05

This is where to learn about wavelet packets, and what they can do.-- Where to learn the programming techniques that are especially adapted to wavelet algorithms, and which have proved their worth. The book actually tells you how to write a program;-- it motivates, and explains the elements step by step. It also gives the background, and offers a beautiful presentation of the essentials. It is selfcontained and a pleasure to read. It has the algorithmic approach to the discrete wavelet transform;--a topic that is hard to find elsewhere,-- at least in a systematic presentation.

not the easiest one around but well describing algorithms.......1997-01-08

This book gave me a rather hard start with very dry and short theoretical introduction but the algorithmical/discrete part is well done and allows for implementation of most of the work where many details emerge ... I was missing solutions for the exercises though

Wavelets through a Looking Glass (Applied and Numerical Harmonic Analysis)

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A masterpiece in wavelets
Distinguished link between math and computer science
A fresh look at wavelets
an intriguing new wavelet book
An Intriguiging New Book

Wavelets through a Looking Glass (Applied and Numerical Harmonic Analysis)
Ola Bratteli , and Palle Jorgensen
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817642803

Book Description

This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory.

Customer Reviews:

A masterpiece in wavelets.......2003-03-14

This is a very well written book on the theory of wavelets and its applications. The presentation is self-contained and may serve as an introduction for someone who wants to learn about this topic. It also is an excellent book for those who have an advanced graduate degree in applied mathematics since it demonstrates how to truly understand complex concepts. This book gives a general presentation of some recent developments in wavelet theory with an emphasis on techniques that have a geometric and spectral-theoretic flavor. It can be certainly used as a textbook for graduate students as well as as a reference book for the specialists and researchers. A very nice feature of the book are the tutorials at the beginning of each chapter and some sections, which serve as summaries of main ideas and guides through the background ideas and motivation. At the end of every chapter there are plenty of excercises of various level of difficulty. Overall, this is a great book and I recommend it highly to a motivated reader.

Distinguished link between math and computer science.......2003-03-11

This is an important mathematical reference written in excellent style. Wavelets have found applications in many areas of engineering and CS. The authors provide a detailed, rich and entertaining tour through this relatively young but important field for both math and CS/Eng. Connections are, e.g., made between advanced CS virtual-reality applications such as audio-systems processing, future applications such as quantum computing, and advanced math in functional analysis and operator theory.

A fresh look at wavelets.......2002-10-08

The Book by Bratteli and Jorgensen is a superb book on wavelet's theory. It is very well written and has new and a fresh point of view on the subject. Although there are several good books on wavelets, the book by Bratteli and Jorgensen covers an important niche that has not been covered before. In particular

1- The book covers the theory of wavelets from the point of view of operators and functional analysis and will appeal to a growing number of pure as well as applied mathematicians interested in the subject.

2- The writing of the book is very appealing: every chapter starts by a tutorial that gives motivation as well as intuition. It is then followed by a very clean mathematical development of the subject, together with many examples, figures, and applications from physics and engineering. A set of nice problems is provided at the end of each chapter. Thus this book can be used as a graduate textbook or for mathematical seminars in mathematics departments.

3- This book can even be used by experts in wavelet theory for learning about recent developments and new perspectives from operator theory and functional analysis.

I highly recommend this book.

an intriguing new wavelet book.......2002-09-09

This is a book about an important topic in applied mathematics by two authors with excellent credentials in both pure and applied areas. The reader will find many intriguing threads connecting wavelets to other parts of mathematics, including a wavelet index theorem, quantum computing, the ubiquitous C*-algebras O_n and, of course, spectral theory. The graphics are meticulously done.

I look forward to learning a lot from it.

An Intriguiging New Book.......2002-08-30

This is a book about an important topic in applied mathematics by two authors with excellent
credentials in both pure and applied areas.

Book Description

John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The invited chapters pay tribute to John’s many achievements and express an appreciation for both the mathematical and personal inspiration he has given to so many students, coauthors, and colleagues.

Although the scope of the book is broad, chapters are clustered by topic to provide authoritative expositions that will be of lasting interest. The original papers collected here are written by prominent, well-respected researchers and professionals in the field of harmonic analysis. The book is divided into the following five sections:

* Classical harmonic analysis

* Frame theory

* Time-frequency analysis

* Wavelet theory

* Sampling theory and shift-invariant spaces

Harmonic Analysis and Applications is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

Contributors: A. Aldroubi, L. Baggett, G. Benke, C. Cabrelli, P.G. Casazza, O. Christensen, W. Czaja, M. Fickus, J.-P. Gabardo, K. Gröchenig, K. Guo, E. Hayashi, C. Heil, H.P. Heinig, J.A. Hogan, J. Kovacevic, D. Labate, J.D. Lakey, D. Larson, M.T. Leon, S. Li, W.-Q Lim, A. Lindner, U. Molter, A.M. Powell, B. Rom, E. Schulz, T. Sorrells, D. Speegle, K.F. Taylor, J.C. Tremain, D. Walnut, G. Weiss, E. Wilson, G. Zimmermann

Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)

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Outstanding book and a fast read

Approximation Theory: From Taylor Polynomials to Wavelets (Applied and Numerical Harmonic Analysis)
Ole Christensen , and Khadija L. Christensen
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Paperback

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ASIN: 0817636005

Book Description

This concisely written book gives an elementary introduction to a classical area of mathematics—approximation theory—in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.

Key features and topics:

* Description of wavelets in words rather than mathematical symbols

* Elementary introduction to approximation using polynomials (Weierstrass’ and Taylor’s theorems)

* Introduction to infinite series, with emphasis on approximation-theoretic aspects

* Introduction to Fourier analysis

* Numerous classical, illustrative examples and constructions

* Discussion of the role of wavelets in digital signal processing and data compression, such as the FBI’s use of wavelets to store fingerprints

* Minimal prerequisites: elementary calculus

* Exercises that may be used in undergraduate and graduate courses on infinite series and Fourier series

Approximation Theory: From Taylor Polynomials to Wavelets will be an excellent textbook or self-study reference for students and instructors in pure and applied mathematics, mathematical physics, and engineering. Readers will find motivation and background material pointing toward advanced literature and research topics in pure and applied harmonic analysis and related areas.

Customer Reviews:

Outstanding book and a fast read.......2007-02-19

The book is very well written. Very clear and makes for a fast read. Only drawback is all notation is not completely defined; however, this problem has only been observed in very few instances. Overall, very well done!

Average customer rating:

Great collection.

Advances in Wavelets

Manufacturer: Springer-Verlag Telos
ProductGroup: Book
Binding: Paperback

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ASIN: 9814021083

Book Description

Wavelets is a new area that stands at the intersection of the frontiers of mathematics, scientific computing, and signal and image processing, and is one of the major research directions in science in the last decade which is still undergoing rapid growth. This book brings together eleven of the polished versions of the seminars and lectures held over a year-long programme on "Wavelets and their Applications" in Hong Kong, and which cumulated to a workshop in May 1997 which was attended by scientists and graduate students from China, Singapore, North and South America, and Europe. The volume covers the topics of: Theory of frames and applications; Wavelet coefficients; Refinable functions and approximation; Multiwavelets; and Tiling. . Advances in Wavelets will prove a useful reference source to graduate students and researchers alike on the many applications of wavelets.

Customer Reviews:

Great collection........2002-07-10

While there is a variety of collections of wavelet papers, presenting the state of the art, in some of the many facets of the subject, this lovely book stands out.-- One of the best! The collection of authors, and the quality of the papers, are great. The material is timeless, and the book will be of use for many years to come.

Complex Harmonic Splines, Periodic Quasi-Wavelets - Theory and Applications

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Complex Harmonic Splines, Periodic Quasi-Wavelets - Theory and Applications
Han-lin Chen
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792361377

Book Description

This book presents Complex Harmonic Splines (CHS), which gives an approximation to the Complex Harmonic Function (CHF), in particular the conformal mapping with high accuracy from the unit disc to a domain with arbitrary shape. The volume develops various periodic quasi-wavelets which can be used to solve the Helmholtz integral equation under some boundary conditions with complexity O(N). The last part of the work introduces a class of periodic wavelets with various properties.
Audience: This volume will be of interest to applied mathematicians, physicists and engineers whose work involves approximations and expansions, integral equations, functions of a complex variable and numerical analysis.

Wavelet Theory and Harmonic Analysis in Applied Sciences (Applied and numerical harmonic analysis)

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A great book!

Wavelet Theory and Harmonic Analysis in Applied Sciences (Applied and numerical harmonic analysis)
Carlos Enrique D'Attellis , and Elena Fernandez-Berdaguer
Manufacturer: Birkhauser Verlag AG
ProductGroup: Book
Binding: Hardcover

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Book Description

This book contains 14 invited chapters addressing applications and interactions between wavelet theory and scientific, medical and geophysical problems. Topics covered include EGG signals, spectral analysis, wavelet transform from orthogonal spline wavelets, numerical modeling of Maxwell's equation, wavelet networks and nonlinear processes, etc. It is addressed to an interdisciplinary readership of professional applied mathematicians, electrical engineers, physicists and other scientists especially interested in applying the new ideas and techniques.

Customer Reviews:

A great book!.......2000-05-31

I really enjoyed this book. It's fascinating!

Wavelets & Renormalization (Approximations & Decomposition Series)

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Wavelets & Renormalization (Approximations & Decomposition Series)
G. Battle
Manufacturer: World Scientific Pub Co Inc
ProductGroup: Book
Binding: Hardcover

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ASIN: 9810226241

Book Description

WAVELETS AND RENORMALIZATION describes the role played by wavelets in Euclidean field theory and classical statistical mechanics. The author begins with a stream-lined introduction to quantum field theory from a rather basic point of view. Functional integrals for imaginary-time-ordered expectations are introduced early and naturally, while the connection with the statistical mechanics of classical spin systems is introduced in a later chapter.

A vastly simplified (wavelet) version of the celebrated Glimm-Jaffe construction of the f43 quantum field theory is presented. It is due to Battle and Federbush, and it bases an inductively defined cluster expansion on a wavelet decomposition of the Euclidean quantum field. The presentation is reserved for the last chapter, while the more basic aspects of cluster expansions are reviewed in the chapter on classical spin systems.

Wavelets themselves are studied from two different points of view arising from two disciplines. The mathematical point of view covers the basic properties of wavelets and methods for constructing well-known wavelets such as Meyer wavelets, Daubechies wavelets, etc. The physical point of view covers the renormalization group formalism, where there is a close connection between wavelets and Gaussian fixed points.

Book Description

The first book on the subject.
Written by an acknowledged expert in the field.
The techniques discussed have important applications to wireless engineering.
An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Download Description

* The first book on the subject.

* Written by an acknowledged expert in the field.

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