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Ripples in Mathematics

by A. Jensen, Anders la Cour-Harbo

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Editorial Reviews
Product Description
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. The first part is a completely elementary introduction to the subject, and the prerequisites for this part are knowledge of basic calculus and linear algebra. The second part requires some knowledge of Fourier series and digital signal analysis. The connections between lifting and filter theory are presented and the wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals. The problems with finite length signals are treated in detail. 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.


All Customer Reviews
Average Customer Review:5 out of 5 stars
6 of 6 people found the following review helpful:

4 out of 5 starsCaveat, 2005-04-05
This is a great book for understanding the specifics of implementation of wavelet transforms and lifting schemes. One warning, however, the book is rife with errors and the reader would be well-advised to check calculations.


4 of 4 people found the following review helpful:

5 out of 5 starsvery good book fills a missing hole in wavelet literature, 2004-10-15
Just picked up a copy of this book.

Seems to really fill a missing hole in the wavelet literature, explaining the recent "lifting" approach, and tying it together, with the filterbank approach and the more traditional mother wavelet scale/translation approach.


3 of 3 people found the following review helpful:

5 out of 5 starsA must read for Lifting Based Wavelet Transforms, 2003-08-22
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 !


6 of 6 people found the following review helpful:

5 out of 5 starsThe non-mathematician-friendly introduction to wavelets, 2003-05-18
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.


4 of 6 people found the following review helpful:

5 out of 5 starsUsers of wavelets., 2002-09-20
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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