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Wavelets through a Looking Glass (Applied and Numerical Harmonic Analysis)
by Ola Bratteli, Palle Jorgensen, B. Treadway
Average Customer Review: 5.0 out of 5 stars
Hardcover (12 July, 2002)
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Reviews (6)

5-0 out of 5 stars A masterpiece in wavelets
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.

5-0 out of 5 stars Distinguished link between math and computer science
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.

5-0 out of 5 stars A fresh look at wavelets
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. ... Read more

Isbn: 0817642803
Sales Rank: 536976
Subjects:  1. Applied    2. Functional Analysis    3. Geometry - Algebraic    4. Harmonic Analysis    5. Homotopy Theory    6. Mathematical Analysis    7. Mathematics    8. Science/Mathematics    9. Spectral theory (Mathematics)    10. Topology - General    11. Wavelets (Mathematics)    12. Approximation Theory    13. CS/Numerical Mathematics    14. Communications Theory    15. Harmonic Analysis/Applications    16. Mathematics / Group Theory    17. Signal Processing   


An Introduction to Wavelet Analysis
by David F. Walnut
Average Customer Review: 5.0 out of 5 stars
Hardcover (27 September, 2001)
list price: $69.95 -- our price: $55.68
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Reviews (1)

5-0 out of 5 stars From Fourier to wavelets to applications.
I take it as a healthy sign when there is a burst of new books in a sub-area of math. In wavelet analysis and its applications, we have seen a number of recent books arrive to university bookstores. Surprisingly there doesn't in fact seem to be much of an overlap of subject or scope, from one book to the next. The subject is infinite in many directions, for example the kind of student it is aimed at, the level, the specialized area within math itself, and the kind of application it is stressing. D. Walnut's lovely book aims at the upper undergraduate level, and so it includes relatively more preliminary material, for example Fourier series, than is typically the case in a graduate text. It goes from Haar systems to multirelutions, and then the discrete wavelet transform, starting on page 215. The applications to image compression are wonderful, and the best I have seen in books at this level. I also found the analysis of the best choice of basis, and wavelet packet, especially attractive. The later chapters include MATLAB codes.-- Highly recommended! ... Read more

Isbn: 0817639624
Sales Rank: 304318
Subjects:  1. Applied    2. Functional Analysis    3. Harmonic Analysis    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Wavelets (Mathematics)    8. Fourier Analysis    9. Mathematics / Group Theory    10. Wavelets   


The Fourier Transform & Its Applications
by Ronald N. Bracewell
Average Customer Review: 4.0 out of 5 stars
Hardcover (08 June, 1999)
list price: $106.88 -- our price: $106.88
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Reviews (8)

5-0 out of 5 stars The best book for Fourier transform
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.

4-0 out of 5 stars Good book on practical, fourier analysis, excellent problems
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!

5-0 out of 5 stars excellent on fundamentals
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 ... Read more

Isbn: 0073039381
Sales Rank: 158552
Subjects:  1. Applied    2. Engineering - Electrical & Electronic    3. Fourier Analysis    4. Fourier transformations    5. Harmonic Analysis    6. Mathematical Analysis    7. Mathematics    8. Science/Mathematics    9. Technology & Industrial Arts    10. Transformations (Mathematics)    11. Technology / Engineering / Electrical   


Fast Fourier Transform and Its Applications
by E. Brigham
Average Customer Review: 5.0 out of 5 stars
Paperback (29 March, 1988)
list price: $93.00 -- our price: $83.48
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Reviews (11)

4-0 out of 5 stars Written with the reader in mind.
I think this is one of the most understandable books in signal processing that I've ever come across.I get the feeling that Brigham had been frustrated by technical texts that were poorly written, and decided he wasn't going to commit the same sin.Plenty of carefully planned illustrations designed to help the reader start from a known place, and move step-by-step to an understanding of something new.Not just a bunch of faceless equations.I think this would be an excellent college text.

Like any in-depth text dealing with a mathematically complex topic, there appear to be a number of mistakes left in to keep the reader on his/her toes.But fewer than most.I highly recommend this book, even though I'm usually a pretty tough critic.I too have been frustrated by too many poorly written books.

4-0 out of 5 stars Very good, but be careful, though
The book I have is ISBN 0-13-307496. It was published in 1974.

I am very happy about this book, I first read it in 1979 when I was 19, and I found it really marvellous. I agree with the other reviewers, but I must add a note of caution - the edition I have contains some errors. They are as follows;

p155, p157 - the factors w(11) and w(10) are incorrectly placed on the butterfly diagram 10.3 and 10.4 respectively,

p166, p168, p169, equations 10-26 and most equations following to the end of the chapter - the factors R(N-n) and I(N-n) should be R(N-1-n) and I(N-1-n), respectively.

I hope I'm right about this, but the convention is that the indices are from 0 to N-1, and therefore if n=0, then N-n is N - which not an allowed index.

Apart from these sort of errors (I havn't been through the whole book with a fine toothcomb), its really very good, actually extraordinarily clear.

One of its main benefits is that it doesn't veer away from the FFT to the very complicated developments such as fractional transforms and other developments which might confuse the sort of audience it's aimed at (which is definitely the graduates).

But if you want to look deeply into FFTs for a real application you will need a lot more. I must mention,for instance, that the implementation of an FFT needs fairly careful error propagation and rounding analysis, and this isn't covered at all in the book. Neither are prime factor FFTs. In fact the chapter "FFT algorithms for arbirary factors" is only a method of factoring into powers of two, and certainly not the prime factor decomposition which was developed later by Winograd, Chuo, and others.

It must also be said that while the DCT is practically a kissing cousin of the FFT, this naturally isn't covered in this text... but neither are the finite field implementations that are now taking many peoples imaginations to faster and faster FFTS.

Also, there are jolly useful things to know about, such as the FFT when you only need a subset of the output data points. There are pruning algorithms which greatly simplify the computations.

But it's very good as a starter, I wouldn't do without my copy!

5-0 out of 5 stars Outstanding classic
I am mainly a neurobiologist by training, but transform theory is very useful in visual neurobiology and visual psychophysics, and I've looked at and read dozens of books on various aspects of signal processing and transform theory. Much of this is surprisingly applicable to the brain science area, as the revolutionary work of David Marr and other scientists showed a quarter of a century ago.

But getting back to the present book, this is one of the best books I've read in the signal analysis area. Brigham's presentation of various aspects of the FT, including the continuous FT, digital FT, convolution integrals, and so on, is clear and concise, whether he's discussing theory or applications. Also, his disussion of the Nyquist sampling theorem is the best and easiest to understand I've read.

Interestingly, this theorem has quite practical applications, not just in digital sample theory, but in real life. According to the Nyquist theorem, no information is lost in converting from analog to digital form if the sampling frequency is twice that of the highest frequency in the signal. Well, have you ever used those audio headphones they have on commercial jetliners? The Nyquist theorem means they can switch the audio outputs at high frequency using well-known time-domain switching techniques rather than run copper to each passenger's seat. I've read that this saves 300 pounds of copper wire in a typical plane, the weight savings of which can of course be more profitably used for transporting other things. If you consider that 300 pounds is about the weight of your average couple,you can see how the savings would add up after even a few flights.

But getting back to the book, I first encountered this work 20 years ago, and I'm delighted to see it's still around. My neurobiology student friends and I all got turned on to this book early in grad school, and it was a great help. I still fondly recall the many enjoyable hours we spent talking about how Fourier analysis and other techniques such as the Laplace transform, temporal modulation transfer fuction, two-dimensional convolution integrals, two-dimensional point-spread functons, filter techniques such as the finite and infinite response filters, Kalman filter, Hammond filter, and so on, could be applied to our area. And it all started with this book. It's a true classic that has never been exceeded for it's clear and concise exposition of a very important mathematical tool in both engineering and neurophysiology. ... Read more

Isbn: 0133075052
Sales Rank: 224513
Subjects:  1. Applied    2. Engineering - Electrical & Electronic    3. Engineering Mathematics    4. Fourier Analysis    5. Fourier transformations    6. Mathematics    7. Science/Mathematics    8. Technology    9. Telecommunications    10. Technology / Engineering / Electrical   


Understanding FFT Applications : A Tutorial for Laymen, Students, Technicians & Working Engineers
by Anders E. Zonst
Paperback (01 September, 1997)
list price: $34.95
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Isbn: 0964568195
Sales Rank: 789635
Subjects:  1. Digital signal processing    2. Fourier analysis    3. Fourier transformations    4. Functional Analysis    5. Infinity    6. Mathematics    7. Mathematics / Calculus    8. Mathematics / Computer Mathematics    9. Science/Mathematics    10. Computer Mathematics    11. Harmonic Analysis   

Understanding Digital Signal Processing
by Richard G. Lyons
Average Customer Review: 5.0 out of 5 stars
Hardcover (06 November, 1996)
list price: $64.95
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Reviews (43)

5-0 out of 5 stars One of The Best DSP book for beginner
Have you ever tried to study DSP but get intimidated with all the math equations and cryptic explanations?! With Lyons' book, you are not going to have these problems. Lyons' beautifully explains DSP "concept" without going to unnecessary mathematical details. There is still a lot of math in this book, but all of them is presented from practical point of view and only when needed. It teaches you enough basic DSP so when you need to learn advanced DSP concept from other books (such as , you won't be intimidated!

I consider this as the most necessary basic building block to be able to understand the DSP Bible "Discrete-Time Signal Processing (2nd Edition), for Oppenheim".

5-0 out of 5 stars Fantastic Book
OK, let me first start out by saying that I am a little biased here since I helped review the new edition, but this is a fantastic book.While this book isn't a total replacement for the standard DSP tomes like Oppenheim and Schafer, this is a text that all DSP engineers should own.

The second edition expands on the strong points of the first.The book is written by an engineer for other engineers.The topics are accessible to readers, while not being watered down.

Less understood, but extremely important topics such as quadrature processing and Hilbert transformshave expanded coverage in this edition.

The best improvement to this edition is the vastly expanded chapter on DSP Tricks.The tricks are practical applications of DSP theory.These tricks usually are not taught in school, and are often not well known.The number of pages devoted to tricks has doubled to over 100, and unlike other books, cover a broad range of topics.Application areas cover audio processing, digital communications, simulation, analysis, and others.

In summary, you will not be disappointed with this book.

5-0 out of 5 stars The Best DSP book for beginner
Have you ever tried to study DSP but get intimidated with all the math equations and cryptic explanations?! With Lyons' book, you are not going to have these problems. Lyons' beautifully explains DSP "concept" without going to unnecessary mathematical details. There is still a lot of math in this book, but all of them is presented from practical point of view and only when needed. It teaches you enough basic DSP so when you need to learn advanced DSP concept from other books, you won't be intimidated! ... Read more

Isbn: 0201634678
Sales Rank: 294089
Subjects:  1. Computer Bks - Communications / Networking    2. Computer Books: General    3. Digital Communication Engineering    4. Digital techniques    5. Engineering - Electrical & Electronic    6. Networking - General    7. Signal Processing (Communication Engineering)    8. Signal processing    9. Technology    10. Telecommunications    11. Technology / Telecommunications   

Digital Signal Processing: A Practical Guide for Engineers and Scientists (IDC Technology (Paperback))
by Steven Smith
Average Customer Review: 4.5 out of 5 stars
Paperback (September, 2002)
list price: $62.95 -- our price: $41.55
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Reviews (14)

5-0 out of 5 stars A truely enjoyable book
I took the DSP course in my final year undergraduate study, and it was a more maths-oriented course. While I was able to cope with the maths, I didn't really appreciate all the ideas behind, and I didn't like DSP at that time. The auther has done a great job in writing this book, with ideas clearly presented with the least amount of maths involved. I would strongly recommend this book for students taking introductory DSP and practitioners in the DSP field. I wish I had read this book earlier.

5-0 out of 5 stars A PulitizerPrize winner for technical writing.
A book full of practical advice on how to design a digital processing system and insights on how digital processing systyems work.The first book I have found that explains how the one bit output of a comparator in a Sigma Delta analog to digital converter is converted to a m, m is the A/D resolution, bit word.If you only buy one digital processing book in your lifetime this should be the book.

5-0 out of 5 stars Best Text to understand, perform and enjoy DSP
Coming to DSP from a non-mathematical back ground I wanted a DSP guide that would allow me to 'do something' useful, quickly for a biomedical signal processing applicition- but I initally had difficulty finding a good textbook.

I painfully struggled through Lathi's "Signal Processing and Linear Systems" with little to show for it.Lyons' "Understanding Digital Signal Processing" was very good at explanation (I recommend it) but somewhat lacked a practical focus. In the end "DSP a Practical Guide" turned out to be even clearer and easier to read than Lyons while being more complete and having a more practical focus.

The book is punctuated with practical examples- sonar, audio processing, code optimisation and accompanying BASIC.After literally a few hours of reading I applied some provided algorithms to clean up an EKG signal (with considerable success).

I found the chapter on neural networks to be so clear and enthralling it became a 'toilet read'- certainly a first for a book of this genre :) - the sections on image processing, audio processing and data compression are likewise accessible.

The only caveat with this book is that those seeking a rigorous 'first principles' mathematical analysis of DSP (Lathi style) may be disappointed by the conceptual focus- a lot of the 'harder' items like Laplace and complex fourier come towards the latter half of the book.
Purchasers should also note that there seem to be differences in the composition of the similar hardback versions of the book (I have the softcover). ... Read more

Isbn: 075067444X
Sales Rank: 18328
Subjects:  1. Digital techniques    2. Electronics - Digital    3. Engineering - Electrical & Electronic    4. Engineering - General    5. General    6. Science/Mathematics    7. Signal processing    8. Technology    9. Technology & Industrial Arts    10. Technology / Electronics / Microelectronics   


A Wavelet Tour of Signal Processing
by S. G. Mallat, Stephane Mallat
Average Customer Review: 4.5 out of 5 stars
Hardcover (01 January, 1998)
list price: $59.95
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Reviews (8)

1-0 out of 5 stars The worst textbook I have ever seen
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.

5-0 out of 5 stars Algorithms and much more!
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!

5-0 out of 5 stars A bold approach to wavelet transforms that simplifies
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. ... Read more

Isbn: 0124666051
Sales Rank: 1036065
Subjects:  1. Applied    2. Engineering - Electrical & Electronic    3. Harmonic Analysis    4. Mathematics    5. Science/Mathematics    6. Signal Processing (Communication Engineering)    7. Signal processing    8. Technology    9. Wavelets (Mathematics)   

Introduction to Wavelets and Wavelets Transforms
by C. Sidney Burrus, C. Sidney Burrus, Ramesh A. Gopinath
Average Customer Review: 4.5 out of 5 stars
Paperback (14 August, 1997)
list price: $55.00 -- our price: $55.00
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Reviews (3)

5-0 out of 5 stars If you don't know anything about Wavelet Analysis Start Here
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.

5-0 out of 5 stars introduction to Wavelets and Waveletstransforms
The introduction to Wavelets and Wavelets transform aplications.

4-0 out of 5 stars theoretically sound, non-trivial tutorial
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. ... Read more

Isbn: 0134896009
Sales Rank: 352259
Subjects:  1. Applied    2. Harmonic Analysis    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics    6. Signal Processing (Communication Engineering)    7. Signal processing    8. Telecommunications    9. Wavelets (Mathematics)    10. Technology / Engineering / Electrical   


Wavelets Made Easy
by Yves Nievergelt
Average Customer Review: 4.0 out of 5 stars
Hardcover (28 April, 1999)
list price: $49.95 -- our price: $43.09
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Reviews (5)

5-0 out of 5 stars Finally, Wavelets are explained !!
Thank Yves.

I enrolled in an online graduate course for wavelets and could not understand the book and the professor liked to give very few problems with very little help to ensure that he would not have to grade many problems and to ensure that we would not understand the material well. I searched the web and checked out about 10 wavelet book in the library and still I could not get a clue on wavelets in how they actually worked and the mathematics behind them.

But, ... with Yves' book, ... it does still take some mental effort, but his book is readable and the homework assignments are doable without an instructor leading you or mis-leading you as the case may be.

Wavelets applications fascinate me and without Yves book, I still wouldn't have a clue.

5-0 out of 5 stars Excellent.
The book is excellent in the sense that it has the right mixture of both theoretic and practical aspects. The portions on Fourier transforms also are apt for a newcomer to understand the theory. Of course, the first impression formed by seeing the title is that the matter inside would be plain english without any mathematics. However, the mathematics in the book has been kept elementary and in places where that wasn't possible, a thorough introduction has been provided.

The applications are explicitly mentioned and algorithms are written down clearly, instead of simply providing the theory and leaving the implementation for the student to figure out for himself. For the less mathematically oriented, the exercises at the end of each chapter will provide a good intuition to what will be encountered in the consequent sections. Once this book is read, other books that concentrate on specific aspects of wavelets will appear to be more understandable.

3-0 out of 5 stars The complex cannot be made easy, but it can be made clear
When I first saw this book, which is heavy on equations, I thought "wow, if this is wavelets made easy, I'd hate to see the hard version". And indeed this book is not light reading. But it is clear and there are plenty of examples. This book is far and away the best book on wavelets that I've found.
Wavelets are a complex topic. It would be unfair to think that you can pick up a book like this an read it like a popular science book. Reading a book like this takes concentration and effort. Implementing wavelet software is even more work, since some of the "in-place" algorithms are difficult. "Wavelets Made Easy" is a great foundation for anyone who wants to apply Haar wavelets for data analysis and filtering.

Nievergelt's coverage of Daubechies wavelets is not as
good as his coverage of Haar.He clearly explains the matrix
(linear algebra) view of Daubechies wavelets.The
coverage of edge effect issues is also good.However, as the
chapter proceeds, it fell apart, at least for me.There
appear to be errors in some of the algorithms.For example,
Nievergelt uses an average of the input time series over the
Daubechies wavelet.As far as I can see, this average cannot
be inverted to yield the original time series.Nievergelt's
Daubechies algorithm also does not seem to match algorithms
like the one published in Numerical Recipies.

So in summary, I'd say that this is a book that started out
well in the first few chapters but became less useful as
I worked through it. ... Read more

Isbn: 0817640614
Sales Rank: 188563
Subjects:  1. Applied    2. Harmonic Analysis    3. Mathematical Analysis    4. Mathematics    5. Science/Mathematics    6. Wavelets (Mathematics)    7. Applications of Mathematics    8. Mathematics / Applied    9. Numerical Mathematics    10. Wavelets   


Discrete-Time Signal Processing (Prentice Hall Signal Processing Series)
by Alan V. Oppenheim, Ronald W. Schafer
Average Customer Review: 4.5 out of 5 stars
Hardcover (01 March, 1989)
list price: $91.00
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Editorial Review

This is the standard text for introductory advanced undergraduate and first-year graduate level courses in signal processing. The text gives a coherent and exhaustive treatment of discrete-time linear systems, sampling, filtering and filter design, reconstruction, the discrete-time Fourier and z-transforms, Fourier analysis of signals, the fast Fourier transform, and spectral estimation. The author develops the basic theory independently for each of the transform domains and provides illustrative examples throughout to aid the reader. Discussions of applications in the areas of speech processing, consumer electronics, acoustics, radar, geophysical signal processing, and remote sensing help to place the theory in context. The text assumes a background in advanced calculus, including an introduction to complex variables and a basic familiarity with signals and linear systems theory. If you have this background, the book forms an up-to-date and self-contained introduction to discrete-time signal processing that is appropriate for students and researchers. Discrete-Time Signal Processing also includes an extensive bibliography. ... Read more

Reviews (20)

4-0 out of 5 stars yes, it is!
This is the book that focuses on the concept more than any thing else which ,in turn, build up your insight through the material.

This book addresses discrete time signal processing issues in an ordinary fashion and doesn't cover more advanced topics like wavelets or statistical signal processing.

Maybe you would be interested in this book if you are that senior/first year graduate student looking forward a nice job with a high salary or a DSP engineer that is interested in keeping his job :)

Overall, nothing can get better than Oppenheim DSP 1975 but however, this is a nice volume if you don't have the preceding one.
It is almost the same quality isn't it?

4-0 out of 5 stars To be in the Electronics business
This book holds a close view of my desires.In the future, many people will see the value of this book.

We are moving from a digital age to more combined digital and analog time.

This is because digital signals are very limited in their structure and analog signals are very necessary to give digital more expression and freedom.


3-0 out of 5 stars Ok beginners book
This book seems to follow the disappointing (to me at least) model of many engineering texts--that being the reluctance to present new mathematical concepts/techniques.Almost every mathematical concept/technique used in this book was already covered by the prerequisite text by Oppenheim, "Signals and Systems."It would seem that a subject so entrenched with complex numbers and polynomials could be taught in such a manner that would include theorems and concepts from these well-established mathematical disciplines.Note that I did not read the chapter on Hilbert transforms, or the section on the Discrete Cosine Transform, so I cannot comment on them.I did read all other sections.The sections on random signals do introduce new concepts, but they were only put in as a quick review of concepts meant to be studied in a random processes class.On the other hand, this is a very readable book, which has proven very useful.It does present MANY new engineering concepts.If analytic function theory had been introduced, this book probably would not have room left to be as complete a reference for existing introductory DSP theory.However by avoiding the math it has limited the continuing students ability to develop insight into deeper theory, or develop new theory. ... Read more

Isbn: 013216292X
Subjects:  1. Discrete-time systems    2. Engineering - Electrical & Electronic    3. Mathematics    4. Science/Mathematics    5. Signal Processing    6. Technology & Industrial Arts   

Fast Fourier Transforms, Second Edition
by James S. Walker
Average Customer Review: 4.0 out of 5 stars
Hardcover (22 August, 1996)
list price: $79.95 -- our price: $79.95
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Reviews (1)

4-0 out of 5 stars Can be understood by an undergraduate physics major.
This is a book written for mathematicians, yet it is accessible to an upper level physics undergraduate. Much of the book explains concepts very well, at other times I was very frustrated. The DOS based software includedwith the book did not seem to work as billed on my systems. A high point ofthe book is Walkers 2 dimensional Fourier optics section. This section doesan excellent job on a complex topic. ... Read more

Isbn: 0849371635
Sales Rank: 298461
Subjects:  1. Applied    2. Calculus    3. Engineering - General    4. Fourier Analysis    5. Fourier transformations    6. Functional Analysis    7. Mathematical Analysis    8. Mathematics    9. Science/Mathematics    10. Mathematics / Mathematical Analysis   


The World According to Wavelets: The Story of a Mathematical Technique in the Making
by Barbara Burke Hubbard
Average Customer Review: 4.5 out of 5 stars
Hardcover (01 March, 1996)
list price: $38.00
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Reviews (10)

5-0 out of 5 stars Good for start
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.

5-0 out of 5 stars It can be done!
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!

5-0 out of 5 stars Outstanding overview
I thing this is a fabulous book.I would not have it as your only book on wavelets.I would read it first to get the big picture.Then get a more applicative or theoretical book as you detail reference.The author has a knack for explaining the basic ideas clearly and simply.Easy and entertaining to read but it isn't all fluff.You learn the sweeping and critical ideas and terminology.Has broad coverage.Get this book... and one other. ... Read more

Isbn: 1568810474
Sales Rank: 1522058
Subjects:  1. General    2. Harmonic Analysis    3. Infinity    4. Science    5. Science/Mathematics    6. Wavelets (Mathematics)   

A Primer on Wavelets and Their Scientific Applications
by James S. Walker
Average Customer Review: 4.5 out of 5 stars
Paperback (26 March, 1999)
list price: $39.95 -- our price: $36.56
(price subject to change: see help)
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Reviews (6)

3-0 out of 5 stars Too Elementary
A Primer on Wavelets and Their Scientific Applications by Walker, James S.and Krantz, Steve G.

There is nothing wrong with this book, but if you know the fundamentals of Fourier transforms, correlation and random processes, this book will be waste of your time and money.If one the other hand, you do not, than this is a readable book, but I think that it is a little thin.

5-0 out of 5 stars Best introductory book on wavelets
This is the best introductory level book on wavelets I have read. It is written beautifully and is one of the few books that provides insight as to how and why wavelets are useful.

Everyone should start out their investigation of wavelets with this book first. Highly recommended.

5-0 out of 5 stars The ideas and the software.
This lovely little book helps the novice to get an idea of the math which underlies wavelets;-- and at the same time to learn how one readily gets hold of software that is convinient,-- that will make it easy for anyone to start playing around with it. The author also explains in plain English the wavelet aspects, and some of the mathematical constructs, behind audio denoising, signal compression, image recognition, speech recognition and more. ... Read more

Isbn: 0849382769
Sales Rank: 100265
Subjects:  1. Applied    2. Engineering - Electrical & Electronic    3. Harmonic Analysis    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Wavelets (Mathematics)   


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