<p>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.</p>

Wavelets and Subband Coding (Prentice Hall Signal Processing Series)

Engineering & Transportation

Vetterli, Martin

Kovacevic, Jelena

Engineering

PRENTICE/HALL

Wavelets and subband coding are essential to the field of signal processing, from their roles in harmonic analysis and mathematical physics to their applications in speech, image compression, and computer vision. This text for signal processing courses in electrical engineering develops wavelets and subband theory in both continuous and discrete time and presents important applications.The unified treatment begins with an overview that introduces the concept of multiresolution and a review of fundamentals. Subsequent chapters examine discrete-time linear expansions based on filter banks or subband coding; wavelets, both with direct approaches and those based on filter banks; continuous wavelets and local Fourier transforms used in signal analysis; and signal compression, source coding, and multiresolution coding. Each chapter includes numerous examples, homework problems, illustrations, and photographs, and several appendixes cover additional material.

Wavelets and Subband Coding (Dover Books on Electrical Engineering)

Dover Publications

<p>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 speech, image compression and computer visions, 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 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.</p>

Wavelets and Subband Coding

Science & Math

Mathematics

CreateSpace Independent Publishing Platform

An Introduction to Frames is an introduction to redundant signal representations called frames. These representations have recently emerged as yet another powerful tool in the signal processing toolbox, spurred by a host of recent applications requiring some level of redundancy. It asks the question: Why and where should one use frames? And answers emphatically: Anywhere where redundancy is a must. It then goes on to discuss a host of applications that richly illustrate that answer.  An Introduction to Frames is geared primarily toward engineering students and those without extensive mathematical training. It is also intended to help researchers and practitioners decide whether frames are the right tool for their application.

Introduction to Frames (Foundations and Trends(r) in Signal Processing)

Computers & Technology

Chebira, Amina

Graphics & Design

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