Wavelets and Subband Coding

First published in 1995, Wavelets and Subband Coding offers a unified view of the exciting field of wavelets and their discrete-time cousins, filter banks, or subband coding. The book develops the theory in both continuous and discrete time, and presents important applications. During the past decade, it filled a useful need in explaining a new view of signal processing based on flexible time-frequency analysis and its applications. The book was originally published by Prentice Hall. The authors bought back the copyright and have republished it here. They also distribute the book freely at waveletsandsubbandcoding.org.

• 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 the 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.