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WAVELETS AND SUBBAND CODING |
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Chapter-by-Chapter Contents 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 and 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. |
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