Mathematical Analysis, Wavelets, and Signal Processing

Mathematical Analysis, Wavelets, and Signal Processing

Author: Mourad Ismail

Publisher: American Mathematical Soc.

ISBN: 9780821803844

Category: Computers

Page: 354

View: 247

This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.

Mathematical Analysis, Wavelets, and Signal Processing

Mathematical Analysis, Wavelets, and Signal Processing

Author: Mourad Ismail

Publisher: American Mathematical Soc.

ISBN: 0821855271

Category: Computers

Page: 354

View: 421

This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.

Mathematical Principles of Signal Processing

Mathematical Principles of Signal Processing

Author: Pierre Bremaud

Publisher: Springer Science & Business Media

ISBN: 9781475736694

Category: Mathematics

Page: 270

View: 394

From the reviews: "[...] the interested reader will find in Bremaud’s book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics." Mathematical Reviews

Wavelets

Wavelets

Author: Charles K. Chui

Publisher: SIAM

ISBN: 9780898713848

Category: Mathematics

Page: 210

View: 445

Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.

A First Course in Wavelets with Fourier Analysis

A First Course in Wavelets with Fourier Analysis

Author: Albert Boggess

Publisher: John Wiley & Sons

ISBN: 9781119214328

Category: Mathematics

Page: 336

View: 297

A comprehensive, self-contained treatment of Fourier analysis and wavelets—now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature: The development of a Fourier series, Fourier transform, and discrete Fourier analysis Improved sections devoted to continuous wavelets and two-dimensional wavelets The analysis of Haar, Shannon, and linear spline wavelets The general theory of multi-resolution analysis Updated MATLAB code and expanded applications to signal processing The construction, smoothness, and computation of Daubechies' wavelets Advanced topics such as wavelets in higher dimensions, decomposition and reconstruction, and wavelet transform Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level.

Multiscale Signal Analysis and Modeling

Multiscale Signal Analysis and Modeling

Author: Xiaoping Shen

Publisher: Springer Science & Business Media

ISBN: 9781461441458

Category: Technology & Engineering

Page: 378

View: 601

Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation/transmission, coding, nonparametric statistical signal processing, and statistical learning theory.

Wavelet Methods in Mathematical Analysis and Engineering

Wavelet Methods in Mathematical Analysis and Engineering

Author: Alain Damlamian

Publisher: World Scientific

ISBN: 9789814322867

Category: Mathematics

Page: 178

View: 249

This book gives a comprehensive overview of both the fundamentals of wavelet analysis and related tools, and of the most active recent developments towards applications. It offers a state-of-the-art in several active areas of research where wavelet ideas, or more generally multiresolution ideas have proved particularly effective. The main applications covered are in the numerical analysis of PDEs, and signal and image processing. Recently introduced techniques such as Empirical Mode Decomposition (EMD) and new trends in the recovery of missing data, such as compressed sensing, are also presented. Applications range for the reconstruction of noisy or blurred images, pattern and face recognition, to nonlinear approximation in strongly anisotropic contexts, and to the classification tools based on multifractal analysis.

Wavelets and Signal Processing

Wavelets and Signal Processing

Author: Hans-Georg Stark

Publisher: Springer Science & Business Media

ISBN: 9783540234333

Category: Technology & Engineering

Page: 150

View: 984

Professor Noubari's recommendation: "Professor Starks book provides an effective entry into the field for engineering students who have little or no prior knowledge of this important subject. Avaibility of collection of computer codes and mfiles in combination with topics of the book, makes the book highly valuable to enhance student learning of the subject matter."

Four Short Courses on Harmonic Analysis

Four Short Courses on Harmonic Analysis

Author: Brigitte Forster

Publisher: Springer Science & Business Media

ISBN: 9780817648909

Category: Mathematics

Page: 247

View: 861

This textbook covers four research directions in harmonic analysis and presents some of its latest applications. It is the first work that combines spline theory, wavelets, frames, and time-frequency methods up to construction on manifolds other than Rn.

Signal Processing for Multimedia

Signal Processing for Multimedia

Author: J. S. Byrnes

Publisher: IOS Press

ISBN: 9051994605

Category: Computers

Page: 269

View: 393

Discover success in global business today with the most strategic approach to international business topics and unique coverage not found in other books. Written by renowned international instructor and author Mike Peng, GLOBAL BUSINESS is the first truly global business book to answer the big question, "What determines the success and failure of firms around the globe?" This edition blends both an institutional-based view and resource-based view throughout every chapter for an unparalleled continuity in the learning process. The book combines an inviting, conversational style with the latest research and examples throughout every chapter. A comprehensive set of cases from Mike Peng and other respected international experts examine how companies throughout the world have expanded globally. All-new video cases, world maps, and unique global debate sections help readers view business challenges from a truly global perspective. Available with InfoTrac Student Collections http://gocengage.com/infotrac.

The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet Approximations

Author: A.J. Jerri

Publisher: Springer Science & Business Media

ISBN: 0792351096

Category: Mathematics

Page: 340

View: 799

This book represents the first attempt at a unified picture for the pres ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out. The analysis and filtering cover the familiar Gibbs phenomenon in Fourier series and integral representations of functions with jump discontinuities. In ad dition it will include other representations, such as general orthogonal series expansions, general integral transforms, splines approximation, and continuous as well as discrete wavelet approximations. The mate rial in this book is presented in a manner accessible to upperclassmen and graduate students in science and engineering, as well as researchers who may face the Gibbs phenomenon in the varied applications that in volve the Fourier and the other approximations of functions with jump discontinuities. Those with more advanced backgrounds in analysis will find basic material, results, and motivations from which they can begin to develop deeper and more general results. We must emphasize that the aim of this book (the first on the sUbject): to satisfy such a diverse audience, is quite difficult. In particular, our detailed derivations and their illustrations for an introductory book may very well sound repeti tive to the experts in the field who are expecting a research monograph. To answer the concern of the researchers, we can only hope that this book will prove helpful as a basic reference for their research papers.