Wavelets and Subband Coding / Edition 1by Martin Vetterli, Jelena Kovacevic
Pub. Date: 04/21/1995
Publisher: Prentice Hall Professional Technical Reference
A central goal of signal processing is to describe real life signals, be it for computation, compression, or understanding. This book presents a unified view of wavelets and subband coding with a signal processing perspective. Covers the discrete-time case, or filter banks; development of wavelets; continuous wavelet and local Fourier transforms; efficient algorithms for filter banks and wavelet computations; and signal compression. For electrical engineers and computer scientists.
Table of Contents
1. Wavelets, Filter Banks and Multiresolution Signal Processing.
2. Fundamentals of Signal Decompositions.
3. Discrete-Time Bases and Filter Banks.
4. Series Expansions using Wavelets and Modulated Bases.
5. Continuous Wavelet and Short-Time Fourier Transforms and Frames.
6. Algorithms and Complexity.
7. Signal Compression and Subband Coding.
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There are few books that sucessfully cover the interface of diverse fields, and yet this lovely book represents a subject that thrives on the interconnections. It is a great textbook, and it works well for selfstudy. The two subjects wavelets and subband filtering [from signal processing] are quite different, and have distinct and independent lives, they have different aims, and different histories. And yet, it is the happy marriage of the two that enriches the the union to an extraordinary degree. Multiresolutions are the bread and butter of wavelet algorithms, and they thrive on methods from signal processing, the quadrature-mirror filter construction, for example. One reason some books in the subject miss the target is that most authors know one of the subjects well, but not the others. Diverse subjects have quite different languages, and different terminology. The present authors are indeed on target, and they know it all. They come from engineering, but they know all the math;--the connections are made. And they strike a balance: Engineers can find what they want for the practical problems, and the mathematicians will not be disappointed. Programmers can pick up what is needed in their world. The book has been tested in courses, including mine. If you pick it for a course, the authors have material on their web pages that serves as a wonderful supplement. Lovely!