Wavelets and Subband Coding / Edition 1

Wavelets and Subband Coding / Edition 1

5.0 1
by Martin Vetterli, Jelena Kovacevic
     
 

ISBN-10: 0130970808

ISBN-13: 9780130970800

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

Overview

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.

Product Details

ISBN-13:
9780130970800
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
04/21/1995
Series:
Prentice Hall Signal Processing Series
Pages:
488
Product dimensions:
7.33(w) x 9.60(h) x 0.98(d)

Table of Contents



1. Wavelets, Filter Banks and Multiresolution Signal Processing.

1.1 Series Expansions of Signals. 1.2 Multiresolution Concept. 1.3 Overview of the Book.



2. Fundamentals of Signal Decompositions.

2.1 Notations. 2.2 Hilbert Spaces. 2.3 Elements of Linear Algebra. 2.4 Fourier Theory and Sampling. 2.5 Signal Processing. 2.6 Time-Frequency Representations. 2.A Bounded Linear Operators on Hilbert Spaces. 2.B Parametrization of Unitary Matrices. 2.C Convergence and Regularity of Functions.



3. Discrete-Time Bases and Filter Banks.

3.1 Series Expansions of Discrete-Time Signals. 3.2 Two- Channel Filter Banks. 3.3 Tree-Structured Filter Banks. 3.4 Multichannel Filter Banks. 3.5 Pyramids and Overcomplete Expansions. 3.6 Multidimensional Filter Banks. 3.7 Transmultiplexers and Adaptive Filtering in Subbands. 3.A Lossless Systems. 3.B Sampling in Multiple Dimensions and Multirate Operations.



4. Series Expansions using Wavelets and Modulated Bases.

4.1 Definition of the Problem. 4.2 Multiresolution Concept and Analysis. 4.3 Construction of Wavelets Using Fourier Techniques. 4.4 Wavelets Derived from Iterated Filter Banks and Regularity. 4.5 Wavelet Series and Its Properties. 4.6 Generalizations in One Dimension. 4.7 Multidimensional Wavelets. 4.8 Local Cosine Bases. 4.A Proof of Theorem.



5. Continuous Wavelet and Short-Time Fourier Transforms and Frames.

5.1 Continuous Wavelet Transform. 5.2 Continuous Short-Time Fourier Transform. 5.3 Frames of Wavelet and Short-Time Fourier Transforms.



6. Algorithms and Complexity.

6.1 Classic Results. 6.2 Complexity of Discrete Bases Computation. 6.3 Complexity of Wavelet Series Computation. 6.4 Complexity of Overcomplete Expansions. 6.5 Special Topics.



7. Signal Compression and Subband Coding.

7.1 Compression Systems Based on Linear Transforms. 7.2 Speech and Audio Compression. 7.3 Image Compression. 7.4 Video Compression. 7.5 Joint Source-Channel Coding. 7.A Statistical Signal Processing.



Bibliography.


Index.

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Wavelets and Subband Coding 5 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
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!