Computational Signal Processing With Wavelets

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Computational Signal Processing with Wavelets

Anthony Teolis
Computational Signal Processing with Wavelets Book PDF

Author : Anthony Teolis
Publisher : Birkhäuser
Page : 324 pages
File Size : 45,6 Mb
Release : 2017-10-02
Category : Mathematics
ISBN : 9783319657479

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Computational Signal Processing with Wavelets by Anthony Teolis Pdf

This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. The text is written in a clear, accessible style avoiding unnecessary abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web. Topics and Features Continuous wavelet and Gabor transforms Frame-based theory of discretization and reconstruction of analog signals is developed New and efficient "overcomplete" wavelet transform is introduced and applied Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience. A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic...is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results. —Journal of Mathematical Psychology

Fundamentals of Wavelets

Jaideva C. Goswami,Andrew K. Chan
Fundamentals of Wavelets Book PDF

Author : Jaideva C. Goswami,Andrew K. Chan
Publisher : John Wiley & Sons
Page : 310 pages
File Size : 48,8 Mb
Release : 2011-03-08
Category : Computers
ISBN : 9780470934647

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Fundamentals of Wavelets by Jaideva C. Goswami,Andrew K. Chan Pdf

Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems

Wavelets and Signal Processing

Hans-Georg Stark
Wavelets and Signal Processing Book PDF

Author : Hans-Georg Stark
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 49,7 Mb
Release : 2005-04-01
Category : Technology & Engineering
ISBN : 9783540234333

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Wavelets and Signal Processing by Hans-Georg Stark Pdf

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."

Wavelets

Charles K. Chui
Wavelets Book PDF

Author : Charles K. Chui
Publisher : SIAM
Page : 223 pages
File Size : 48,9 Mb
Release : 1997-01-01
Category : Mathematics
ISBN : 9780898713848

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Wavelets by Charles K. Chui Pdf

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

Linear Algebra, Signal Processing, and Wavelets - A Unified Approach

Øyvind Ryan
Linear Algebra Signal Processing and Wavelets A Unified Approach Book PDF

Author : Øyvind Ryan
Publisher : Springer
Page : 360 pages
File Size : 47,6 Mb
Release : 2019-03-05
Category : Mathematics
ISBN : 9783030018122

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Linear Algebra, Signal Processing, and Wavelets - A Unified Approach by Øyvind Ryan Pdf

This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended. The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature.

Wavelets in Signal and Image Analysis

A.A. Petrosian,F.G. Meyer
Wavelets in Signal and Image Analysis Book PDF

Author : A.A. Petrosian,F.G. Meyer
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 50,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401597159

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Wavelets in Signal and Image Analysis by A.A. Petrosian,F.G. Meyer Pdf

Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis. Because of their powerful underlying mathematical theory, they offer exciting opportunities for the design of new multi-resolution processing algorithms and effective pattern recognition systems. This book provides a much-needed overview of current trends in the practical application of wavelet theory. It combines cutting edge research in the rapidly developing wavelet theory with ideas from practical signal and image analysis fields. Subjects dealt with include balanced discussions on wavelet theory and its specific application in diverse fields, ranging from data compression to seismic equipment. In addition, the book offers insights into recent advances in emerging topics such as double density DWT, multiscale Bayesian estimation, symmetry and locality in image representation, and image fusion. Audience: This volume will be of interest to graduate students and researchers whose work involves acoustics, speech, signal and image processing, approximations and expansions, Fourier analysis, and medical imaging.

A Wavelet Tour of Signal Processing

Stephane Mallat
A Wavelet Tour of Signal Processing Book PDF

Author : Stephane Mallat
Publisher : Elsevier
Page : 620 pages
File Size : 47,7 Mb
Release : 1999-09-14
Category : Mathematics
ISBN : 0080520839

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A Wavelet Tour of Signal Processing by Stephane Mallat Pdf

This book is intended to serve as an invaluable reference for anyone concerned with the application of wavelets to signal processing. It has evolved from material used to teach "wavelet signal processing" courses in electrical engineering departments at Massachusetts Institute of Technology and Tel Aviv University, as well as applied mathematics departments at the Courant Institute of New York University and École Polytechnique in Paris. Provides a broad perspective on the principles and applications of transient signal processing with wavelets Emphasizes intuitive understanding, while providing the mathematical foundations and description of fast algorithms Numerous examples of real applications to noise removal, deconvolution, audio and image compression, singularity and edge detection, multifractal analysis, and time-varying frequency measurements Algorithms and numerical examples are implemented in Wavelab, which is a Matlab toolbox freely available over the Internet Content is accessible on several level of complexity, depending on the individual reader's needs New to the Second Edition Optical flow calculation and video compression algorithms Image models with bounded variation functions Bayes and Minimax theories for signal estimation 200 pages rewritten and most illustrations redrawn More problems and topics for a graduate course in wavelet signal processing, in engineering and applied mathematics

Wavelets

John J. Benedetto
Wavelets Book PDF

Author : John J. Benedetto
Publisher : CRC Press
Page : 592 pages
File Size : 40,9 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9781000443462

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Wavelets by John J. Benedetto Pdf

Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.

A Wavelet Tour of Signal Processing

Stephane Mallat
A Wavelet Tour of Signal Processing Book PDF

Author : Stephane Mallat
Publisher : Academic Press
Page : 832 pages
File Size : 48,5 Mb
Release : 2008-12-18
Category : Technology & Engineering
ISBN : 0080922023

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A Wavelet Tour of Signal Processing by Stephane Mallat Pdf

Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth. - Laurent Demanet, Stanford University The new edition of this classic book gives all the major concepts, techniques and applications of sparse representation, reflecting the key role the subject plays in today's signal processing. The book clearly presents the standard representations with Fourier, wavelet and time-frequency transforms, and the construction of orthogonal bases with fast algorithms. The central concept of sparsity is explained and applied to signal compression, noise reduction, and inverse problems, while coverage is given to sparse representations in redundant dictionaries, super-resolution and compressive sensing applications. Features: * Balances presentation of the mathematics with applications to signal processing * Algorithms and numerical examples are implemented in WaveLab, a MATLAB toolbox New in this edition * Sparse signal representations in dictionaries * Compressive sensing, super-resolution and source separation * Geometric image processing with curvelets and bandlets * Wavelets for computer graphics with lifting on surfaces * Time-frequency audio processing and denoising * Image compression with JPEG-2000 * New and updated exercises A Wavelet Tour of Signal Processing: The Sparse Way, Third Edition, is an invaluable resource for researchers and R&D engineers wishing to apply the theory in fields such as image processing, video processing and compression, bio-sensing, medical imaging, machine vision and communications engineering. Stephane Mallat is Professor in Applied Mathematics at École Polytechnique, Paris, France. From 1986 to 1996 he was a Professor at the Courant Institute of Mathematical Sciences at New York University, and between 2001 and 2007, he co-founded and became CEO of an image processing semiconductor company. Includes all the latest developments since the book was published in 1999, including its application to JPEG 2000 and MPEG-4 Algorithms and numerical examples are implemented in Wavelab, a MATLAB toolbox Balances presentation of the mathematics with applications to signal processing

Wavelet Transforms and Time-Frequency Signal Analysis

Lokenath Debnath
Wavelet Transforms and Time Frequency Signal Analysis Book PDF

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
Page : 444 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461201373

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Wavelet Transforms and Time-Frequency Signal Analysis by Lokenath Debnath Pdf

The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.

Wavelets

Gordon Erlebacher,M. Yousuff Hussaini,Leland M. Jameson
Wavelets Book PDF

Author : Gordon Erlebacher,M. Yousuff Hussaini,Leland M. Jameson
Publisher : Oxford University Press
Page : 524 pages
File Size : 46,5 Mb
Release : 1996-01-04
Category : Science
ISBN : 9780198025429

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Wavelets by Gordon Erlebacher,M. Yousuff Hussaini,Leland M. Jameson Pdf

Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets--their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.

Wavelets and Wavelet Transform Systems and Their Applications

Cajetan M. Akujuobi
Wavelets and Wavelet Transform Systems and Their Applications Book PDF

Author : Cajetan M. Akujuobi
Publisher : Springer Nature
Page : 657 pages
File Size : 55,7 Mb
Release : 2022-02-02
Category : Technology & Engineering
ISBN : 9783030875282

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Wavelets and Wavelet Transform Systems and Their Applications by Cajetan M. Akujuobi Pdf

This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes mathematical rigor. The presentation includes many diagrams to illustrate points being discussed and uses MATLAB for all of application code. The author reinforces concepts introduced in the book with easy to grasp review questions and problems, tailored to each specific chapter for better mastery of the subject matter. This book enables students to understand the fundamental concepts of wavelets and wavelet transforms, as well as how to use them for problem solutions in digital signal and image processing, mixed-signal testing, space applications, aerospace applications, biomedical, cyber security, homeland security and many other application areas.

A First Course in Wavelets with Fourier Analysis

Albert Boggess,Francis J. Narcowich
A First Course in Wavelets with Fourier Analysis Book PDF

Author : Albert Boggess,Francis J. Narcowich
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 50,5 Mb
Release : 2015-08-21
Category : Mathematics
ISBN : 9781119214328

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A First Course in Wavelets with Fourier Analysis by Albert Boggess,Francis J. Narcowich Pdf

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.

Wavelet Basics

Y. T. Chan
Wavelet Basics Book PDF

Author : Y. T. Chan
Publisher : Springer Science & Business Media
Page : 139 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461522133

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Wavelet Basics by Y. T. Chan Pdf

Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has therefore been written as an introductory book for scientists and engineers. The mathematical presentation has been kept simple, the concepts being presented in elaborate detail in a terminology that engineers will find familiar. Difficult ideas are illustrated with examples which will also aid in the development of an intuitive insight. Chapter 1 reviews the basics of signal transformation and discusses the concepts of duals and frames. Chapter 2 introduces the wavelet transform, contrasts it with the short-time Fourier transform and clarifies the names of the different types of wavelet transforms. Chapter 3 links multiresolution analysis, orthonormal wavelets and the design of digital filters. Chapter 4 gives a tour d'horizon of topics of current interest: wavelet packets and discrete time wavelet transforms, and concludes with applications in signal processing.

Wavelets and Subband Coding

Jelena Kovacevic,Martin Vetterli
Wavelets and Subband Coding Book PDF

Author : Jelena Kovacevic,Martin Vetterli
Publisher : Prentice Hall
Page : 488 pages
File Size : 53,8 Mb
Release : 1995
Category : Technology & Engineering
ISBN : 0130970808

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Wavelets and Subband Coding by Jelena Kovacevic,Martin Vetterli Pdf

A central goal of signal processing is to describe real-time 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. *provides broad coverage of theory and applications and a different perspective based on signal processing. *gives framework for applications in speech, audio, image and video compression as used in multimedia. *includes sufficient background material so that people without signal processing knowledge will find it useful.