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A Wavelet Tour of Signal Processing (Academic Press) (Wavelet Analysis & Its Applications) (Englisch) Gebundene Ausgabe – 14. September 1999


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Produktinformation

  • Gebundene Ausgabe: 620 Seiten
  • Verlag: Academic Press; Auflage: 2 Sub (14. September 1999)
  • Sprache: Englisch
  • ISBN-10: 012466606X
  • ISBN-13: 978-0124666061
  • Größe und/oder Gewicht: 23,6 x 16 x 3,4 cm
  • Durchschnittliche Kundenbewertung: 5.0 von 5 Sternen  Alle Rezensionen anzeigen (4 Kundenrezensionen)
  • Amazon Bestseller-Rang: Nr. 857.185 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)
  • Komplettes Inhaltsverzeichnis ansehen

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Produktbeschreibungen

Pressestimmen

"Mallat has not only written a treatise, but also an excellent graduate text for students in computer science, electrical engineering, and mathematics" John J. Benedetto, SIAM review

Synopsis

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 Ecole Polytechnique in Paris. It provides a broad perspective on the principles and applications of transient signal processing with wavelets.It emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms. It contains 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. The content is accessible on several level of complexity, depending on the individual reader's needs.

The features new to the Second Edition include: 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; and, more problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics.


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Die hilfreichsten Kundenrezensionen

1 von 1 Kunden fanden die folgende Rezension hilfreich Von Palle E T Jorgensen am 1. März 2003
Format: Gebundene Ausgabe
Signal processing and wavelets are actually two separate subject, but the happy marriage of them in the eighties
produced an amaizing sucess story, one that benefitted both, and the rest of us as well. The subject of wavelets has many facets, --infinite in all directions;-- but the connection to communications engineering is one of the more exciting ones; it led to some of the most powerful applications in the subject, and especially to the fast wavelet algorithms;-- 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!
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Wir konnten Ihre Stimmabgabe leider nicht speichern. Bitte erneut versuchen
Format: Gebundene Ausgabe
As someone learning about wavelets on their own, I found this book much more approachable than many others. You don't need to chew through the proofs to understand the concepts - and if you do, they're ranked according to difficulty ! The chapters are relatively self-contained, and just when your mind begins to stray he throws in a really interesting example.
Kommentar War diese Rezension für Sie hilfreich? Ja Nein Feedback senden...
Vielen Dank für Ihr Feedback. Wenn diese Rezension unangemessen ist, informieren Sie uns bitte darüber.
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Von Ein Kunde am 7. Februar 2000
Format: Gebundene Ausgabe
I bought this book because of the good name of the author at first. He used great and clear Mathematics and diagrams to explain the theory and applications of the wavelet. It is easy for graduate student to follow, I feel. And I kept this book as my faviour book in my bookself.
Kommentar War diese Rezension für Sie hilfreich? Ja Nein Feedback senden...
Vielen Dank für Ihr Feedback. Wenn diese Rezension unangemessen ist, informieren Sie uns bitte darüber.
Wir konnten Ihre Stimmabgabe leider nicht speichern. Bitte erneut versuchen
0 von 1 Kunden fanden die folgende Rezension hilfreich Von Ein Kunde am 26. Januar 1999
Format: Gebundene Ausgabe
This book shows distict figures about wavelet through easy and comportable tour.
Kommentar War diese Rezension für Sie hilfreich? Ja Nein Feedback senden...
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Die hilfreichsten Kundenrezensionen auf Amazon.com (beta)

Amazon.com: 10 Rezensionen
26 von 28 Kunden fanden die folgende Rezension hilfreich
A bold approach to wavelet transforms that simplifies 24. April 2002
Von Anthony Diepenbrock III - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
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.
14 von 14 Kunden fanden die folgende Rezension hilfreich
Searching for an understanding of wavelet concepts ? 14. Juni 2000
Von Ein Kunde - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
As someone learning about wavelets on their own, I found this book much more approachable than many others. You don't need to chew through the proofs to understand the concepts - and if you do, they're ranked according to difficulty ! The chapters are relatively self-contained, and just when your mind begins to stray he throws in a really interesting example.
10 von 11 Kunden fanden die folgende Rezension hilfreich
GREAT and CLEAR 7. Februar 2000
Von Ein Kunde - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
I bought this book because of the good name of the author at first. He used great and clear Mathematics and diagrams to explain the theory and applications of the wavelet. It is easy for graduate student to follow, I feel. And I kept this book as my faviour book in my bookself.
2 von 2 Kunden fanden die folgende Rezension hilfreich
Great Book 19. März 2007
Von B. Hunter - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
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.
10 von 16 Kunden fanden die folgende Rezension hilfreich
Not complete, mathematically 1. September 2000
Von Partho Bhowmick - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
The book is difficult to follow. Though Mallat has attempted to be mathematically rigorous, the proofs unfortunately involve steps that have never been satisfactorily explained. So, to get a solid foundation, I believe it is important to go through the proofs of the theorems, not just the statements & that's hard in this book. The portion on Fourier Analysis especially was important to get a good foundation on why wavelets are important but it was way too short & the proofs had problems as mentioned above. If you are looking for an easy guide (as some non-serious programmers do tend to do), it however involves sifting through too much material till you can piece together what you need so the book is not for the dilettante either.
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