Wavelets and Subband Coding (Prentice Hall Signal Processing Series) - Hardcover

Vetterli, Martin; Kovacevic, Jelena

Hardcover

ISBN 10: 0130970808 ISBN 13: 9780130970800

Publisher: Prentice Hall, 1995

Synopsis

A textbook for a first-year graduate course in electrical engineering and computer science programs. Assumes a previous knowledge of elementary Fourier analysis and linear systems in discrete time, but no background in signal processing. Develops the theory of wavelets and subband coding in both continuous and discrete time, and presents some of its applications in harmonic analysis, mathematical physics, image compression, and computer vision. Annotation copyright Book News, Inc. Portland, Or.

About this title

From the Back Cover

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.

From the Inside Flap

Over the past few years, wavelets and their discrete-time cousins, filter banks, or, subband coding have been used in a variety of signal processing applications. From work in harmonic analysis and mathematical physics, and applications such as speech, image compression and computer vision, different disciplines have built up methods and tools now cast in the common framework of wavelets.

Offering a unified view of this exciting field, Wavelets and Subband Coding develops the theory in both continuous and discrete time, and presents important applications.

Chapter 1 gives an overview of the topics covered and introduces the concept of multiresolution that is central in both theory and applications.

Chapter 2 is a review of fundamentals that makes the book self-contained, and it includes discussions of vector spaces, Fourier theory, signal processing and time-frequency analysis.

Chapter 3 develops discrete-time linear expansions based on filter banks or subband coding. The two-channel case is studied in detail. The multichannel case as well as transmultiplexers are developed and design examples are given.

Chapter 4 develops wavelets, both with direct approaches and based on filter banks, and describes wavelet series and their computation, as well as the construction of modified local Fourier transforms.

Chapter 5 discusses continuous wavelet and local Fourier transforms that are used in signal analysis, as well as discretized versions leading to frames.

Chapter 6 addresses efficient algorithms for filter banks and wavelet computations.

Chapter 7 concludes coverage by describing signal compression where filter banks and wavelets play important roles, including speech, audio, image and video compression. Source coding using transforms, quantization, and entropy coding are studied in detail, and the usefulness of multiresolution coding in current applications is discussed.

In addition, each chapter includes numerous illustrative examples and several appendices cover additional material. The book includes about a hundred homework problems, and contains 130 illustrations and photographs.

Edition details

• Publisher: Prentice Hall
• Publication date: 1995
• Language: English
• ISBN 10: 0130970808
• ISBN 13: 9780130970800
• Binding: Hardcover
• Number of pages: 488