A Wavelet Tour of Signal Processing, Second Edition (Wavelet Analysis & Its Applications)

Book Description

This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and École
Polytechnique in Paris.

Key Features
* Provides a broad perspective on the principles and applications of transient signal processing with wavelets
* Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms
* Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection,
multifractal analysis, and time-varying frequency measurements
* Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet
* Content is accessible on several level of complexity, depending on the individual reader's needs
New to the Second Edition
* Optical flow calculation and video compression algorithms
* Image models with bounded variation functions
* Bayes and Minimax theories for signal estimation
* 200 pages rewritten and most illustrations redrawn
* More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Customer Reviews:

Great Book.......2007-03-20

A great tool for Harmonic Analysis. The book is really well written, a most read for any one who is interested in the area of wavelets, S.P. or harmonic analysis.

The most universal treatment of the subject.......2005-06-08

I say universal because this book would appeal to engineers, computer scientists, and mathematicians alike. Mallat was particularly successful to present the topic in a sufficiently rigorous way but without losing sight of the practical and more intuitive side. The presentation comprises the mathematical and the signal processing viewpoints simultaneously. The wavelet field is very vast by now with several subfields. In this respect, Mallat made a great selection of topics in this book. There is a chapter on estimation which offers great review material and pretty much the state-of-the art on signal estimation over a wavelet basis. The chapter on approximation is particularly useful for those who are not well versed in approximation theory and thus are unable to understand other treatments. If you're interested in learning wavelet theory to solve practical problems such as image compression, signal estimation, etc, this is the book to have.

The worst textbook I have ever seen.......2004-02-12

I just finished Chapter 3 of this book, but I have had enough of it. Conceptions about Fourier Transform are not clear at all. And the most unbearable thing is that, there are many printing errors which may lead to misunderstanding.

Algorithms and much more!.......2002-07-10

The subject of wavelets has many facets, --infinite in all directions;-- some of the more exciting sides of the subject
are algorithmic, and the underlying mathematical principles are both simple and powerful. Stephane Mallat's great, and readable, book, in both of its editions, brings
this out wonderfully!

A bold approach to wavelet transforms that simplifies.......2002-04-24

This is an outstanding tour through the field of wavelet decompositions of both continuous and discrete signals. It employs the formalism of Hilbert space, instead of linear algebra. This is important because the power of this formalism yields insights into the subject matter that are practically impossible in linear algebra. The formalized approach allows a wide variety of subjects to be placed on a common basis (no pun intended). For example, the transition of the treatment of the Fourier transform into Hilbert space, brings to bear the powerful guns of that space (such guns as inner product and completeness), and allows for a truly elegant proof of the Parseval and Plancherel formulas.
Parseval's theorem, simply stated, is that the inner products in Hilbert space are conserved by the Fourier transform. How simple. Linear algebra approaches cannot hope to make things this simple.

Proof of the General Sampling Theorem is equally elegant; it is shown that the projection of the function to be decomposed onto a basis function gives the discrete spectral coefficient.

Readers will also enjoy the treatment of windowed Fourier transforms and frames.

I should add a note about the style of the treatise. This treatise is not ordinary. It consistently uses very precise and carefully defined symbology. Contrary to popular belief, this makes the text easier to read, not more difficult. Once the reader understands the symbol set being used (they are all defined in the front of the text), even the proofs are tractable. Yes, I said proofs. That is another aspect of the text. There are proofs embedded in the text, without loss of continuity or clarity. Proofs are necessary to a good understanding of the subject matter. The formalism of theorems, lemmas and propositions makes the conclusions understandable, because the theorems, lemmas and propositions supporting the conclusions are identifiable.

I applaud the author for his approach and recommend that other text book writers use the same approach.

Practical Time-Frequency Analysis: Gabor & Wavelet Transforms with An Implementation in S (Wavelet Analysis and Its Applications, Vol 9)

Average customer rating:

Practical Time-Frequency Analysis: Gabor & Wavelet Transforms with An Implementation in S (Wavelet Analysis and Its Applications, Vol 9)
Rene Carmona , Wen-Liang Hwang , and Bruno Torresani
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

General | Graphic Design | Computers & Internet | Subjects | Books

General | Science | Subjects | Books

General | Mathematics | Science | Subjects | Books

Mathematical Analysis | Mathematics | Science | Subjects | Books

Applied | Physics | Science | Subjects | Books

Electrical & Electronics | Engineering | New & Used Textbooks | Stores | Books
ASIN: 0121601706

Book Description

Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France.

Key Features
* Detailed presentation of the Wavelet and Gabor transforms
* Applications to deterministic and random signal theory
* Spectral analysis of nonstationary signals and processes
* Numerous practical examples ranging from speech analysis to underwater acoustics, earthquake engineering, internet traffic, radar signal denoising, medical data interpretation, etc
* Accompanying software and data sets, freely downloadable from the book's Web page

Introduction to Wavelets and Wavelets Transforms

Average customer rating:

Nice approach (for physicists)
Good Book
If you don't know anything about Wavelet Analysis Start Here
introduction to Wavelets and Wavelets transforms
theoretically sound, non-trivial tutorial

Introduction to Wavelets and Wavelets Transforms
C. Sidney Burrus , and Ramesh A. Gopinath
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

General | Science | Subjects | Books

Mathematical Analysis | Mathematics | Science | Subjects | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Computers & Internet | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books
Similar Items:

ASIN: 0134896009

Book Description

This book is the only source available that presents a unified view of the theory and applications of discrete and continuous- time signals. This is the only book to present the mathematical point of view, as well as the discrete-time signal processing perspective. It brings together information previously available only in research papers, in engineering and applied mathematics. Appropriate for researchers and practitioners in signal processing and applied mathematics.

Customer Reviews:

Nice approach (for physicists).......2006-05-16

If you studied Mathematical Physics or if you like the mathematical approach that physicists used to write their papers and lectures, it 's a pleasant book to understand wavelets.

Good Book.......2005-06-11

Before reading this book, read the wavelet chapter from

Digital Image Processing (2nd Edition)
by Rafael C. Gonzalez, Richard E. Woods

If you don't know anything about Wavelet Analysis Start Here.......2001-04-15

I have examined most of the popluar books printed on the subject of Wavelet Analysis and this is the best book for those who want to understand what a wavelet is, where is comes from, and how is it is useful for performing Time Scale signal analysis. I strongly suggest starting with this book.

introduction to Wavelets and Wavelets transforms.......2001-02-03

The introduction to Wavelets and Wavelets transform aplications.

theoretically sound, non-trivial tutorial.......1998-07-22

This book is a crafted piece as opposed to one of those collections of journal articles that usually leave you wondering. It appears to have a sound theoretical foundation with some clearly presented definitions and theorems. I wouldn't hesitate to spend time with this one.

Signal & Image Representation in Combined Spaces (Wavelet Analysis and Its Applications)

Average customer rating:

Signal & Image Representation in Combined Spaces (Wavelet Analysis and Its Applications)
Yehoshua Zeevi , and Ronald Coifman
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

General | Mathematics | Science | Subjects | Books

Mathematical Analysis | Mathematics | Science | Subjects | Books

Applied | Physics | Science | Subjects | Books

General | Graphic Design | Computers & Internet | Subjects | Books

Electrical & Electronics | Engineering | New & Used Textbooks | Stores | Books

All Amazon Upgrade | Amazon Upgrade | Stores | Books

Computers & Internet | Amazon Upgrade | Stores | Books

Engineering | Amazon Upgrade | Stores | Books

Professional & Technical | Amazon Upgrade | Stores | Books

Science | Amazon Upgrade | Stores | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books
ASIN: 0127778306

Book Description

This volume explains how the recent advances in wavelet analysis provide new means for multiresolution analysis and describes its wide array of powerful tools. The book covers variations of the windowed Fourier transform, constructions of special waveforms suitable for specific tasks, the use of redundant representations in reconstruction and enhancement, applications of efficient numerical compression as a tool for fast numerical analysis, and approximation properties of various waveforms in different contexts.

Digital Signal Processing Using MATLAB and Wavelets (Electrical Engineering)

Average customer rating:

Great introduction to MatLab and DSP

Digital Signal Processing Using MATLAB and Wavelets (Electrical Engineering)
Michael Weeks
Manufacturer: Infinity Science Press
ProductGroup: Book
Binding: Hardcover

General | Engineering | Professional & Technical | Subjects | Books

General | Science | Subjects | Books

General | Physics | Science | Subjects | Books

General | Computers & Internet | Subjects | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Computers & Internet | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books
Similar Items:

ASIN: 0977858200

Book Description

Although DSP has long been considered an EE topic, recent developments have also generated significant interest from the computer science community. DSP applications in the consumer market, such as bioinformatics, the MP3 audio format, and MPEG-based cable/satellite television have fueled a desire to understand this technology outside of hardware circles.

Designed for upper division engineering and computer science students as well as practicing engineers, Digital Signal Processing Using Matlab and Wavelets emphasizes the practical applications of signal processing. Over 100 Matlab projects and wavelet techniques provide the latest applications of DSP, including image processing, games, filters, transforms, networking, parallel processing, and sound.

The book also provides the mathematical processes and techniques needed to ensure an understanding of DSP theory. Designed to be incremental in difficulty, the book will benefit readers who are unfamiliar with complex mathematical topics or those limited in programming experience. Beginning with an introduction to Matlab programming, it moves through filters, sinusoids, sampling, the Fourier transform, the Z transform and other key topics. An entire chapter is dedicated to the discussion of wavelets and their applications. A CD-ROM (platform independent) accompanies the book and contains source code, projects, and Microsoft® PowerPoint slides.

Customer Reviews:

Great introduction to MatLab and DSP.......2007-07-27

This book is very readable and is chock-full of examples, sample code and explanations of DSP concepts. I think the best way to read it is to start with Chapters 1-2, which give an introduction to DSP and an overview of MatLab. Then, immediately follow this with Chapter 10, which covers applications. Subsequent chapters can be read as needed.

Fundamentals of Wavelets: Theory, Algorithms, and Applications (Wiley Series in Microwave and Optical Engineering)

Average customer rating:

wavelets for engineers

Fundamentals of Wavelets: Theory, Algorithms, and Applications (Wiley Series in Microwave and Optical Engineering)
Jaideva C. Goswami , and Andrew K. Chan
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

General | Science | Subjects | Books

Applied | Physics | Science | Subjects | Books

Electrical & Electronics | Engineering | New & Used Textbooks | Stores | Books

All Amazon Upgrade | Amazon Upgrade | Stores | Books

Computers & Internet | Amazon Upgrade | Stores | Books

Engineering | Amazon Upgrade | Stores | Books

Professional & Technical | Amazon Upgrade | Stores | Books

Science | Amazon Upgrade | Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Computers & Internet | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books
Similar Items:

ASIN: 0471197483

Book Description

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.

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, electromagnetic wave scattering, and boundary value problems.

In a clear, progressive format, the book describes:
* Basic concepts of linear algebra, Fourier analysis, and discrete signal analysis
* Theoretical aspects of time-frequency analysis and multiresolution analysis
* Construction of various wavelets
* Algorithms for computing wavelet transformations.

Concluding chapters present interesting applications of wavelets to signal processing and boundary value problems. Fundamentals of Wavelets is an essential introduction to wavelet theory for students and professionals alike in a practical, real-world engineering context.

Customer Reviews:

wavelets for engineers.......2003-01-25

The marriage of signal processing and wavelets has spun off a host of exciting applications of math and algorithms. The use of wavelets outside of math itself is a recent sucess story. As a rule, it was an unexpected combination of ideas,-- as opposed to a single one, that generated the most powerful applications. The present very nice book is aimed at students taking a service course, for example electrical or optical engineers, but it has broader appeal as well. The authors start with basic principles from math, and move on to multicarrier communication systems..., and boundary value probems.

Multirate Digital Signal Processing: Multirate Systems - Filter Banks - Wavelets

Average customer rating:

Good for actual implemtation
good starter
Save Your money

Multirate Digital Signal Processing: Multirate Systems - Filter Banks - Wavelets
N. J. Fliege
Manufacturer: Wiley
ProductGroup: Book
Binding: Paperback

General | Science | Subjects | Books

General | Physics | Science | Subjects | Books

Waves & Wave Mechanics | Physics | Science | Subjects | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Computers & Internet | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books
ASIN: 0471492043

Book Description

Provides a thorough and accessible introduction to the fast-growing area of multirate digital signal processing covering both the fundamental theory and the practical applications. The key characteristic of multirate algorithms is their high computational efficiency, and hence their increasing implementation in a range of applications from digital audio broadcasting to multi-carrier data transmission and subband speech coding. This book gives a comprehensive analysis of the subject and features include:

* A summary of the key properties of those filters which employ multirate techniques including cascaded multirate filters, multirate complementary filters, and interpolated FIR filters

* An assessment of the properties of various digital filter banks, such as quadratur mirror, parunitary, biorthogonal, modulated, polyphase, and multicomplementary filter banks

* Design methodologies for multirate filters and filter banks

* An examination of the discrete wavelet transform using filter banks, the construction of wavelets and examples of wavelet systems

* A complete overview of current applications and a look ahead towards the future developments in the field

This book will be invaluable for advanced students in electronics and computer science. It will also be useful for practising electronics and communications engineers and physicists working in industry.

Customer Reviews:

Good for actual implemtation.......2005-02-10

This book is a good overview of Multirate signal processing. It has a good mix of theory and practical application. I was able to use this book to help me design an almost perfect reconstruction modifed DFT filterbank for use in a Xilinx FPGA.

good starter.......2003-09-16

By luck, this book was the first I tried for filter banks. Although sparse in some parts, I found it easy to replicate the examples and extend them. Working through this book wasn't all that hard and seemed to give a good basis for further study. Vaidyanathan looks somewhat formidable.

Save Your money.......1999-06-09

Touches on many aspects of multirate theory, but gives little in-depth substance. For a book this pricy, I would expect something more. Buy Vaidyanathan instead....the bible of multirate.

Average customer rating:

Wavelets and Sub-band Coding
Engineering, CS, programming, math...
Hurried, incomplete mathematical treatment and undefined
Almost a great book
The faithful shall be rewarded

Wavelets and Subband Coding
Martin Vetterli , and Jelena Kovacevic
Manufacturer: Prentice Hall PTR
ProductGroup: Book
Binding: Paperback

General | Science | Subjects | Books

Applied | Physics | Science | Subjects | Books

General | Graphic Design | Computers & Internet | Subjects | Books

Electrical & Electronics | Engineering | New & Used Textbooks | Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Computers & Internet | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books

Look Inside Computer Books | Trip | Specialty Stores | Books

Look Inside Science Books | Trip | Specialty Stores | Books
Similar Items:

ASIN: 0130970808

Book Description

A central goal of signal processing is to describe real life signals, be it for computation, compression, or understanding. This book presents a unified view of wavelets and subband coding with a signal processing perspective. Covers the discrete-time case, or filter banks; development of wavelets; continuous wavelet and local Fourier transforms; efficient algorithms for filter banks and wavelet computations; and signal compression. For electrical engineers and computer scientists.

Customer Reviews:

Wavelets and Sub-band Coding.......2006-02-23

It is an excelent book for anyone interested in wavelets from a Discrete Time Signal Processing point of view.
It has a good introduction and review of basic topics, concepts and definitions necessary to grab the basis of DSP in the first chapters. Therefor, it provides a good framework to study wavelets without having studied DSP.
However, it is better if you have studied DSP prior to reading this book. You will enjoy it much more!

Engineering, CS, programming, math..........2003-02-13

There are few books that sucessfully cover the interface of diverse fields, and yet this lovely book represents a subject that thrives on the interconnections. It is a great textbook, and it works well for selfstudy. The two subjects wavelets and subband filtering [from signal processing] are quite different, and have distinct and independent lives, they have different aims, and different histories. And yet, it is the happy marriage of the two that enriches the the union to an extraordinary degree. Multiresolutions are the bread and butter of wavelet algorithms, and they thrive on methods from signal processing, the quadrature-mirror filter construction, for example. One reason some books in the subject miss the target is that most authors know one of the subjects well, but not the others. Diverse subjects have quite different languages, and different terminology. The present authors are indeed on target, and they know it all. They come from engineering, but they know all the math;--the connections are made. And they strike a balance: Engineers can find what they want for the practical problems, and the mathematicians will not be disappointed. Programmers can pick up what is needed in their world. The book has been tested in courses, including mine. If you pick it for a course, the authors have material on their web pages that serves as a wonderful supplement. Lovely!

Hurried, incomplete mathematical treatment and undefined.......2002-05-28

The authors look hurried to catch the wave of wavelets and compiled hot topics of the publication date without almost any logical order. Lots of material taken from others' papers without generosity in the references. The book is missing to tell readers its purpose! Is it a mathematical treatment of wavelet transforms or an engineering book? I could not answer this question as a doctoral student. It's very much like a Ph.D. dissertation of the second author. Frankly, I was disappointed with the quality of the book from a known researcher like Prof. Vetterli.

Almost a great book.......2000-08-30

One get's the feeling that this is the outline for the definitive book on wavelets. But the authors can't make up there minds whether the book should be mostly theoretical or merely useful. A great deal of why and what - and not too much how to. Hopefully there will be another, more insightful edition.

The faithful shall be rewarded.......2000-07-07

Martin Vetterli is the foremost researcher in the area of wavelets in signal processing, and one of the best presenters whom I've met. That may be sufficient to convince some people to buy this book, but may discourage others from buying this book.

One thing to keep in mind while reading this book is the following: The faithful shall be rewarded. If you're uninitiated, this book can be very intimidating, and Martin goes through the first parts (considered to be review) a little bit hurriedly, all the way through the end of Chapter 3.

But once you get into Chapter 4, you will be treated with an excellent coverage of why wavelets are so great, and the state-of-the-art of its research and application. This is where the two authors truly work their magic in their writing.

Book Description

Embedded Image Processing on the TMS320C6000™ DSP: Examples in Code Composer Studio™ and MATLAB focuses on efficient implementations of advanced image processing algorithms for resource-constrained embedded DSP systems. Featuring the popular Texas Instruments TMS320C6000TM line of Digital Signal Processors, it utilizes a proven methodology of beginning with a high-level algorithmic point-of-view, proceeding to develop prototype code in MATLAB and Visual Studio, and concluding with an efficient implementation suitable for deployment on an embedded DSP system.

Aside from image processing, the author also explains the uses and rationale behind a plethora of technologies, most notably several industry-standard and essential TI developer technologies, including the Code Composer Studio™ IDE. Highlights include numerous debugged MATLAB and C/C++ Visual Studio prototype applications and efficient C implementations of real-world algorithms tested on both the C6416 DSK and C6701 EVM development platforms.

Packaged with the book is a CD-ROM which includes the source code, tested and debugged using the latest versions of developer tools, as well as sample image data. The CD-ROM contains a number of projects, spanning a diverse range of image processing applications such as, spatial processing techniques, image filtering, edge detection and segmentation schemes, and wavelet-based algorithms, among others.

Embedded Image Processing on the TMS320C6000™ DSP: Examples in Code Composer Studio™ and MATLAB is an essential book for professional signal & image processing engineers working with TI DSPs where real-time constraints are present and performance is at a premium. Imaging software developers and DSP users will also find this book applicable, as it covers a variety of image and signal processing building blocks that appear in a diverse set of real-world applications, including medical imaging, satellite imaging, digital photography, and pattern recognition, to name a few. It may also serve as a reference work for advanced image processing, computer vision, and DSP students working in labs that use TI development kits or MATLAB.

Customer Reviews:

Images and more..........2005-10-28

There are many great examples of basic image processing techniques in this book. Topics like Image Filtering, Edge Detection and also some Wavelets. There is both theory and detailed examples which really helps when trying to get the DSP in a symbiotic relationship with Matlab, CodeComposer Studio and MS Visual Studio.

There is a logical flow in how information is presented. First a basic description of the algorithm. Second some Matlab or pseudo-code. Then third he describes exactly how to implement it on the c6x dsp. Not only are there implementation details but also interfacing explanation for both Matlab and Visual Studio.

Overall this is an excellent book for getting a project up and running in a timely fashion.

A well laid out introduction to embedded image processing.......2005-08-13

This is an extremely well laid out and understandable text. The coding examples are easy to understand and can be easily demonstrated on the TI DSK's. As a current TI employee with little experience with the C6x line of DSP's, Qureshi's book allowed me to learn a large amount of image processing background in a short time while becoming familiar with the workings of Code Composer Studio and the DSP. The book starts very simply and has clear instructions on how to obtain the tools to run all of the code samples on real DSPs.

Starting with an overview of the tools involved and the C6x architecture, Qureshi moves into simple image processing concepts, such as contrast stretching and window/level processing. After clearly explaining the concept and the implementation, the reader is led through the process of optimizing the code for the DSP environment. Later topics, such as edge detection and wavelets leave the reader with a clear understanding of the fundamentals of image processing, as well as code examples that make implementation a breeze.

Overall, an excellently written book and a must for anyone interested in image processing, whether on TI DSPs or not.

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

Average customer rating:

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

General | Science | Subjects | Books

General | Mathematics | Science | Subjects | Books

Mathematical Analysis | Mathematics | Science | Subjects | Books

Look Inside Science Books | Trip | Specialty Stores | Books

All Amazon Upgrade | Amazon Upgrade | Stores | Books

Professional & Technical | Amazon Upgrade | Stores | Books

Science | Amazon Upgrade | Stores | Books

All Titles | Qualifying Textbooks - Fall 2007 | Stores | Books

Professional | Qualifying Textbooks - Fall 2007 | Stores | Books

Science | Qualifying Textbooks - Fall 2007 | Stores | Books
Similar Items:

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.

The reader will find many intriguing threads connecting wavelets to other parts of mathematics, including a wavelet "index theorem", quantum computing, the ubiquitous Cuntz C*-algebras and, of course, spectral theory. The graphics are excellent. I look forward to learning a lot from it.

Books:

Books Index

Books Home

Recommended Books