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Ripples in Mathematics: The Discrete Wavelet Transform [Paperback]

A. Jensen (Author), Anders la Cour-Harbo (Author)

4.8 out of 5 stars See all reviews (6 customer reviews)

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Product Details

Paperback: 255 pages
Publisher: Springer; 1 edition (Jun 22 2001)
Language: English
ISBN-10: 3540416625
ISBN-13: 978-3540416623
Product Dimensions: 23.4 x 15.6 x 1.4 cm
Shipping Weight: 399 g

Average Customer Review: 4.8 out of 5 stars See all reviews (6 customer reviews)

Amazon Bestsellers Rank: #774,477 in Books (See Top 100 in Books)

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Product Description

Review

From the reviews: "This book is a very well-written introduction to discrete wavelet transforms, very convenient for students in electrical engineering, computer science, and applied mathematics. It is based on the lifting approach to discrete wavelet transforms ... . MATLAB is used as the computational environment for examples and implementations of discrete wavelet transforms." (Manfred Tasche, Zentralblatt MATH, Vol. 989 (14), 2002) "This is an algorithm based, completely elementary introduction to the discrete wavelet transform (DWT) and wavelet packet transform, easy to read and easy to understand, well suited for an introductory course on wavelets for undergraduate students of applied sciences or mathematics. ... Implementations and examples using basic Matlab (TM) as well as the public domain ubi-wave wavelet toolbox help to further a deeper understanding of the algorithms." (C. Cenker, Internationale Mathematische Nachrichten, Vol. 56 (189), 2002) "This book gives an introduction to the discrete wavelet transform and some of its applications. It is based on a novel approach to discrete wavelets called lifting. ... MATLAB is used as the computational environment for examples and implementation of transforms. The book is well suited for undergraduate mathematics and electrical engineering students and engineers in industry." (ETDE Energy Database, December, 2001)

Product Description

This introduction to the discrete wavelet transform and its applications is based on a novel approach to discrete wavelets called lifting. After an elementary introduction, connections of filter theory are presented, and wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals, problems with finite length signals are detailed, and MATLAB is used for examples and implementation of transforms.

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First Sentence
This book gives an introduction to the discrete wavelet transform, and to some of its generalizations. Read the first page

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Customer Reviews

6 Reviews

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Average Customer Review

4.8 out of 5 stars (6 customer reviews)

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5.0 out of 5 stars A must read for Lifting Based Wavelet Transforms, Aug 22 2003

Sumit Nath (Ottawa, Canada) - See all my reviews

This review is from: Ripples in Mathematics: The Discrete Wavelet Transform (Paperback)

You always wondered, what is "Lifting" with respect to wavelets. Well you have this book..and I must say, this will definately solve all your doubts abt Lifting. I use this book, and recommend it to anyone, who wish to explore the wonderful world of wavelet based transforms. An in-depth analysis of multi-rate transforms, Laurent polynomial division and actual MATLAB-based exmaples enhance the beauty of this book. Amongst the vast majority of books out there, Check out this one !

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5.0 out of 5 stars The non-mathematician-friendly introduction to wavelets, May 18 2003

Steve Uhlig (Berlin, Germany) - See all my reviews
(REAL NAME)

This review is from: Ripples in Mathematics: The Discrete Wavelet Transform (Paperback)

While most wavelets books are terribly difficult from a mathematical viewpoint, this book introduces the reader to wavelets from the practical viewpoint. It introduces the procedure to compute the wavelet coefficients without speaking about mathematical functions. If you don't care about functional spaces, then go to this one. I really think this book is the most friendly introduction to wavelets for people who don't care about maths.

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5.0 out of 5 stars Users of wavelets., Sep 20 2002

Palle E T Jorgensen "Palle Jorgensen" (Iowa City, Iowa United States) - See all my reviews
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This review is from: Ripples in Mathematics: The Discrete Wavelet Transform (Paperback)

The users of wavelets include engineers who design filters. The wavelet lifting technique is a powerful tool, and extraordinarily practical. The authors present it very nicely, and the book is an attractive source where anyone can pick up the essentials.

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Most recent customer reviews

5.0 out of 5 stars Very good book on how to do wavelet based signal processing
This is one of the books that shows you how to implement wavelets, it does so in a good way. Some of the sentences, although, could have been written better. Read more

Published on May 2 2002 by Rajesh Venugopal

4.0 out of 5 stars The best wavelet book I've found so far
There is a vast mathematics literature on wavelets.
Much of this literature deals with wavelets from
a theoretical point of view. Read more

Published on Oct 31 2001 by Ian Kaplan