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.

A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics)

Average customer rating:

My school must not have been very good
A Primer on Wavelets and Their Scientific Applications
A rip-off
A little pedantic at times, but generally quite good....
From zero to doing transforms in 138 pages

A Primer on Wavelets and Their Scientific Applications (Studies in Advanced Mathematics)
James S. Walker
Manufacturer: CRC
ProductGroup: Book
Binding: Paperback

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ASIN: 0849382769

Book Description

The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques. Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data. Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLABä. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned. Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.

Customer Reviews:

My school must not have been very good.......2007-09-05

Mathematicians may find the "elementary algebra" in this book to be free of "mathematic rigor," but stupid people like me who went to public school will probably feel otherwise after struggling through the first page. I'm still looking for the wavelet equivalent of the excellent "Who is Fourier?"; this book is definitely not it, and it's definitely not worth $40.

A Primer on Wavelets and Their Scientific Applications.......2006-08-22

This book is an excellent one to learn the fundamental concepts of the wavelet transform. I recommend to study this book before starting or while studying another more mathematical text.

A rip-off.......2006-05-31

This is undoubtedly the bigest rip off of the century - I am sorry that I have spent this exorbitant amount of money on such rubbish. Here we have a book that purports to be some kid of advanced mathematics - NO WAY - this is not mathematics the publisher should be castigated ferociously. The author has no concept of what mathematics is all about he is obviously some kind of engineer and thinks that the use of mathematics is mathematics he is of course very wrong. For example, consider his definition of "scalar product" (p11), he says this is is an operation between two "signals". Sorry the scalar product is an operation between two elements of any vector space. As a mathematician I found this treatise offensive and puerile. It should have had the title "Signal Theory" but that might not have had the readership. Give me back my money!!

A little pedantic at times, but generally quite good...........2006-03-20

At times, particularly at the beginning, the author seems almost patronizing, but generally the tone and level of the book is just where it should be for what seeks to be a primer. However, it is unfortunate that one of the primary functions in the software is not more fully described in the text; it is only described as the method of preparing many of the examples.

Overall, an excellent start for somebody who knows little or nothing about wavelets.

From zero to doing transforms in 138 pages.......2006-01-27

What I really like about this book is that it starts straight off discussing wavelets. Lots of other books on the topic start by introducing Linear Filters, Fourier Transforms, etc., and don't get to Wavelets until 100 pages into the book.

I also have to say that the author's writing style is almost shockingly clear, allowing the reader to make rapid progress through the material. The extensive use of examples also helps illuminate how to perform the steps discussed in the text.

In terms of coverage, this book is almost entirely about Discrete Wavelet Transforms. The third chapter devotes two sections to Fourier transforms, and the final chapter devotes two sections to continuous wavelet transforms. Many other books spend half or more of their space discussing these topics. For readers interested in using wavelets for analysis of data sampled by computer, this emphasis on discrete transforms won't pose any problem at all - that is exactly the type of transform required.

In terms of the book's contents, my only complaint is that there isn't enough discussion on which of the various families of wavelets to use for a given task. For example, some differences between the Daubechies and the Coif wavelets are provided, but in many of the examples, the author uses one of these without discussing why it performs better than the alternatives.

Also, readers should be aware that the website listed in the book as the place from which to download the author's free wavelet analysis software is no longer available. Instead, I found a link to the FAWAVE software on the authors own personal page at http://www.uwec.edu/walkerjs/

Overall, I strongly recommend this book to readers new to the field of wavelets, to those that have been previously frustrated by overly thorough texts on the topic, and even to those classifying themselves as math-phobic. It is a clear, practical introduction to a powerful field of data analysis.

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

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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.

Harmonic Analysis on Symmetric Spaces and Applications II

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Harmonic Analysis on Symmetric Spaces and Applications II
Audrey Terras
Manufacturer: Springer-Verlag
ProductGroup: Book
Binding: Paperback

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The World According to Wavelets: The Story of a Mathematical Technique in the Making

Average customer rating:

tells the story well
Excellent Introduction to Wavelets
Good effort, but no
Good for start
It can be done!

The World According to Wavelets: The Story of a Mathematical Technique in the Making
Barbara Burke Hubbard
Manufacturer: AK Peters, Ltd.
ProductGroup: Book
Binding: Hardcover

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ASIN: 1568810725

Customer Reviews:

tells the story well.......2007-01-14

What is impressive is how the author has told a story about wavelets, at a level that correctly communicates the mathematical essence. Where specifically the impressive achievement is that that level is for a first year undergrad. The maths discussed involves Fourier series [of course!], definite integrals, and simple matrix manipulations.

En route, she explains the Fast Fourier Transform. She credits Gauss as the original inventor, but does not mention Cooley and Tukey who independently rediscovered it, when computers were available to actually make the method practical. There's a hilarious little aside, when she does some approximations and credits this to "minor" administrative overhead. Where the humour is that universities typically charge 40% overhead on government grants! Must remember that.

Excellent Introduction to Wavelets.......2007-01-03

This is an excellent introduction to wavelets and also the Fourier Transform. The first part of the book is readily accessible to almost anyone who has a passing knowledge of high school math. The second half will mostly be useful to the more mathematically sophisticated. It is an ideal kick start for any one who has the requisite knowledge and is motivated to learn more about the applications and theory behind wavelets.

It is not likely that this book will satisfy all your needs if you intend to master this subject but if you are just getting started, I would start here.

Good effort, but no.......2006-10-07

The author of this book states in the preface that her goal is to make wavelet theory accessible to the layman, without bombarding them with "paralyzing" "funny symbols or hieroglyphics" they haven't learned yet. I thought this was a wonderful idea, as I am a layman who never made it past high school geometry with an interest in learning all about the successor to the ubiquitous FFT used in engineering. Unfortunately, while she does manage to avoid using excessive amounts of "hieroglyphics" in the first part of the book, she makes up for it by throwing around a lot of mathematical terms which are never defined for the reader, so the net result in terms of comprehension is ultimately the same as if she had used the formulae, if not worse. Ms. Hubbard will dedicate three pages worth of text to an anecdotal retelling of some conversation that took place between two researchers in front of a Xerox machine, and then suddenly throw in one line at the end of all this nonsense about integrals and coefficients, as though the preceding story somehow prepared the reader for these terms well enough to divine their meaning from one terse little sentence devoid of any contextual clues. It may be presumptuous of me, but I don't think these words mean any more than the much maligned "hieroglyphics" would to the average layman this book is meant to be read by.

On top of that, the diagrams and illustrations are horrible, looking like something that came out of a dot-matrix printer in the late 70s, and ultimately illustrating nothing.

The world desperately needs a book that actually does what this one claims to. "Who is Fourier?" certainly managed to pull it off well enough for the Fourier Transform despite being translated from Japanese, so I'm certain it's possible even if Ms. Hubbard happened to fail miserably at her task.

Good for start.......2002-11-12

I was very happy reading this book. If you are familiar with the Fourier transform and don't know anything about wavelets, this is a book for you.

Actually, the book has got two parts. In the first part you can learn basic things about Fourier transform (about its usage but also about its limits), what we need wavelets for and what the wavelets are. It is explained in very simple language without any formulas. The second part contains basic formulas related to the topics in the first part. I find that the link between these two parts is very good. Also, the author gives physical explanation whenever it's possible.

If you are a specialist in the wavelets area, you probably know all these things but if you are new (like me!) you will find that this book is quite useful.

It can be done!.......2002-08-18

I am a math professor,-- and I often wondered if it wouldn't be possible to get some essential math ideas accross to almost anyone, --and with fewer equations. Ideas can be burried in symbolism;-- not always! But it does happen. Many of my colleagues tell me that if it were possible, then it would be done. The author of this lovely little book didn't take math courses (she says!). Professional mathematicians would most likely agree with me that she (the author) did in fact communicate the essential ideas behind wavelets (and did it well!);- and so she must have understood them!! Perhaps, anyone who really wants to, can penetrate a specialized math discipline;-- I would guess. Perhaps it is not even hard!? At least this book proves that it is not impossible to communicate
the beauty of math;--and its uses. Take a look at the book, and judge for yourself!
It is fun too!

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

Wavelet Theory and its Applications (The International Series in Engineering and Computer Science)

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Best Introduction to Wavelets for Electrical Engineers

Wavelet Theory and its Applications (The International Series in Engineering and Computer Science)
Randy K. Young
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 079239271X

Book Description

This book reviews, extends, and applies wavelet theory, concentrating on the practical applications. Many pictures provide visualizations of wavelet theory and its new extentions, as well as relationships to established concepts. Wavelet theory is integrated with other general theories, including linear systems theory and template matching or matched filtering. These relationships create analogies with related research and connections to practical applications. In addition, by demonstrating the effectiveness of wavelet theory in these general applications, many other specific applications may be improved. Temporal and spatial signals and systems are considered. The properties of the wavelet transform representation are sensitive to the chosen mother wavelet (the kernel of the wavelet transform, analogous to the exponential function in a Fourier transform). These properties are examined and techniques for analyzing these sensitivities are presented.

Customer Reviews:

Best Introduction to Wavelets for Electrical Engineers.......2004-12-12

Randy Young's book is perhaps the best way I have found to learn about wavelet theory. It is very direct, simple and easy to understand. The core of the subject is presented without all of the complications of a more detailed presentation.
I would recommend reading this short book carefully before undertaking any study of wavelets if you have an Electrical Engineering background.

Wavelets and Subband: Fundamentals and Applications

Average customer rating:

Great Book for understanding Wavelets!

Wavelets and Subband: Fundamentals and Applications
Agostino Abbate , Casimer DeCusatis , and Pankaj K. Das
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 081764136X

Book Description

Recently there has been intense research activity on the subject of wavelet/subband theory and application. Experts in such diverse fields as mathematics, physics, electrical engineering and image processing have provided original and pioneering works and results. But this diversity, while rich and productive, has lead to a sense of fragmentation, especially to those new to the field, and nonspecialists, trying to understand the connections between the different aspects of wavelet and subband theory.

The book is designed to present an understanding of wavelets and their development from a continuous-domain transformation to a frame representation and finally to multiresolution analysis tools such as subband decomposition. The book presents a theoretical understanding of the subject that is intertwined with practical examples and practical applications of wavelets in ultrasonic and biomedical applications. There is special emphasis on applications in communications and compression as well as image processing.

Topics and Features:

* Provides an understanding of the link between continuous wavelet transform, the fast wavelet transform and subband decomposition.

* Algorithms and numerical examples are implemented in Matlab.

* The design of wavelet bases, and how to implement the transform both in hardware and software is discussed in detail.

* Covers the fundamentals and the developments of the links between areas such as time-frequency analysis, digital signal processing, image processing and Fourier and wavelet transform, both continuous and discrete.

Extended mathematical treatment and numerous examples, with particular emphasis to the transition from the continuous domain to multiresolution and subband. The book is an essential text/reference for graduates, researchers, and professionals in electrical engineering, communications engineering and computer engineering. Practitioners and professionals engaged in signal processing, wavelets and Fourier analysis will find the book a useful resource and comprehensive guide.

Customer Reviews:

Great Book for understanding Wavelets!.......2006-02-05

Simply the excellent book currently available in Market to understand Wavelets. Enjoy reading this book!

The Fourier Transform & Its Applications

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MUST HAVE
The best book for Fourier transform
Good book on practical, fourier analysis, excellent problems
excellent on fundamentals
unusual and rare symbolism to be an engineering book!!!!!!!!

The Fourier Transform & Its Applications
Ronald N. Bracewell
Manufacturer: McGraw-Hill Science/Engineering/Math
ProductGroup: Book
Binding: Hardcover

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ASIN: 0073039381

Book Description

This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

Customer Reviews:

MUST HAVE.......2007-05-12

If you need a reference on the Fourier Transform. THIS IS IT!!!!!

The best book for Fourier transform.......2003-06-22

When I came to the field of Fourier transform, the book provides me a clear, easy-understanding picture to the field so that I believe any of you can get into the field by use of the book. If you are looking for your first book to Fourier transform, don't waste your time, it is. Even through my life in the research, I depended on it most of the time. It's too great.

Good book on practical, fourier analysis, excellent problems.......2001-05-01

This book is an old classic in fourier analysis - it emphasizes intuitive understanding and uses images a lot to convey information, e.g. the book includes a pictorial dictionary of fourier transforms, and recommends using the method of dragging a strip of paper to get a better understanding of convolutions. The problems are challenging and very interesting, e.g. one problem asks the reader to explain the differences in spectra when reconstructing a signal by linear interpolation vs. sketching a smooth graph between the sample points by hand. (there are also easier problems for to begin with, before one tackles "engineering" questions as the one above) Highly recommended!

excellent on fundamentals.......2000-01-25

If you are looking for thorough explanations with great physical insight - this is the book to get. It is for people who want to know WHY more than HOW. However, If you are looking for how (to implement), I suggest the book "Fast Fourier Transform" by Brigham

unusual and rare symbolism to be an engineering book!!!!!!!!.......1999-09-30

Too confusing...it does not use standard engineering symbols, like for tables, you just need a week to get use to it. For starters...I don't recommend it.

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