Wavelets and Filter Banks

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SIAM, Oct 1, 1996 - Technology & Engineering - 490 pages
5 Reviews
This book explains wavelets to both engineers and mathematicians. It approaches the subject with a major emphasis on the filter structures attached to wavelets. Those filters are the key to algorithmic efficiency and they are well developed throughout signal processing. Now they make possible major achievements in data analysis and compression. The explanations of difficult topics are direct, rigorous and very approachable. Many practical applications are discussed. The book is ideal as an introduction to the principles of wavelets and as a reference for the analysis and applications. Also included in Wavelets and Filter Banks are many examples to make effective use of the MATLAB Wavelet Toolbox.
  

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good book for a wavelet beginner

Contents

Introduction
1
Filters
36
Downsampling and Upsampling
87
Filter Banks
103
Orthogonal Filter Banks
144
Multiresolution
174
Wavelet Theory
220
Finite Length Signals
263
Applications
362
Glossary
403
Wavelets American Scientist
433
Wavelets and Dilation Equations SIAM Review
440
MATLAB and the Wavelet Toolbox
453
References
475
The Discrete Cosine Transform SIAM Review
487
The Lifting Scheme
496

MChannel Filter Banks
299
Design Methods
337

Common terms and phrases

Popular passages

Page 483 - Exact reconstruction techniques for tree-structured subband coders,
Page 483 - Analysis/synthesis techniques for subband image coding,
Page 480 - Performance evaluation of subband coding and optimization of its filter coefficients,
Page 483 - AK Soman, PP Vaidyanathan, and TQ Nguyen, "Linear-phase paraunitary filter banks: theory, factorizations and applications," IEEE Trans, on Signal Processing, vol.
Page 479 - Massopust, Construction of orthogonal wavelets using fractal interpolation functions, SIAM J.

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About the author (1996)

Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world.

Truong Nguyen came to the Jacobs School in 2001. He manages the Video Processing Group, and teaches courses associated with the Signal Image Processing Program (SIP). He is a 1995 recipient of an NSF career award and is author of several MATLAB-based toolboxes on image compression, electrocardiogram compression, and filter bank design. He also holds a patent on an efficient design method for wavelets and filter banks and several patents on wavelet applications including compression and signal analysis. He received his Ph.D. from Caltech in 1989.