Wavelets Theory Applications Implementation

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Wavelets:Theory,Applications,Implementation

Author : M.V. Altaisky
Publisher : Universities Press
Page : 168 pages
File Size : 55,5 Mb
Release : 2005-02
Category : Wavelets (Mathematics)
ISBN : 8173715033

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Wavelets:Theory,Applications,Implementation by M.V. Altaisky Pdf

Wavelet Theory

Author : David K. Ruch,Patrick J. Van Fleet
Publisher : John Wiley & Sons
Page : 502 pages
File Size : 47,8 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165669

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Wavelet Theory by David K. Ruch,Patrick J. Van Fleet Pdf

A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications. The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment of various types of wavelets and their related concepts, such as Haar spaces, multiresolution analysis, Daubechies wavelets, and biorthogonal wavelets. In addition, the authors include two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book. Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.

Wavelets

Author : John J. Benedetto
Publisher : CRC Press
Page : 592 pages
File Size : 53,8 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.

Wavelet Theory and Its Applications

Author : Sudhakar Radhakrishnan
Publisher : BoD – Books on Demand
Page : 270 pages
File Size : 40,9 Mb
Release : 2018-10-03
Category : Computers
ISBN : 9781789234329

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Wavelet Theory and Its Applications by Sudhakar Radhakrishnan Pdf

This book is intended to attract the attention of practitioners and researchers in the academia and industry interested in challenging paradigms of wavelets and its application with an emphasis on the recent technological developments. All the chapters are well demonstrated by various researchers around the world covering the field of mathematics and applied engineering. This book highlights the current research in the usage of wavelets in different areas such as biomedical analysis, fringe-pattern analysis, image applications, network data transfer applications, and optical measurement techniques. The entire work available in the book is mainly focusing on researchers who can do quality research in the area of the usage of wavelets in related fields. Each chapter is an independent research, which will definitely motivate the young researchers to ponder on. These 12 chapters available in four sections will be an eye opener for all who are doing systematic research in these fields.

Wavelets

Author : Laura Montefusco,Luigia Puccio
Publisher : Elsevier
Page : 627 pages
File Size : 46,7 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9780080520841

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Wavelets by Laura Montefusco,Luigia Puccio Pdf

Wavelets: Theory, Algorithms, and Applications is the fifth volume in the highly respected series, WAVELET ANALYSIS AND ITS APPLICATIONS. This volume shows why wavelet analysis has become a tool of choice infields ranging from image compression, to signal detection and analysis in electrical engineering and geophysics, to analysis of turbulent or intermittent processes. The 28 papers comprising this volume are organized into seven subject areas: multiresolution analysis, wavelet transforms, tools for time-frequency analysis, wavelets and fractals, numerical methods and algorithms, and applications. More than 135 figures supplement the text. Features theory, techniques, and applications Presents alternative theoretical approaches including multiresolution analysis, splines, minimum entropy, and fractal aspects Contributors cover a broad range of approaches and applications

Wavelet Theory

Author : Somayeh Mohammady
Publisher : BoD – Books on Demand
Page : 399 pages
File Size : 47,9 Mb
Release : 2021-02-24
Category : Mathematics
ISBN : 9781838819477

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Wavelet Theory by Somayeh Mohammady Pdf

The wavelet is a powerful mathematical tool that plays an important role in science and technology. This book looks at some of the most creative and popular applications of wavelets including biomedical signal processing, image processing, communication signal processing, Internet of Things (IoT), acoustical signal processing, financial market data analysis, energy and power management, and COVID-19 pandemic measurements and calculations. The editor’s personal interest is the application of wavelet transform to identify time domain changes on signals and corresponding frequency components and in improving power amplifier behavior.

Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology

Author : Dumitru Baleanu
Publisher : BoD – Books on Demand
Page : 650 pages
File Size : 45,6 Mb
Release : 2012-04-04
Category : Computers
ISBN : 9789535104940

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Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology by Dumitru Baleanu Pdf

The use of the wavelet transform to analyze the behaviour of the complex systems from various fields started to be widely recognized and applied successfully during the last few decades. In this book some advances in wavelet theory and their applications in engineering, physics and technology are presented. The applications were carefully selected and grouped in five main sections - Signal Processing, Electrical Systems, Fault Diagnosis and Monitoring, Image Processing and Applications in Engineering. One of the key features of this book is that the wavelet concepts have been described from a point of view that is familiar to researchers from various branches of science and engineering. The content of the book is accessible to a large number of readers.

Wavelets

Author : Gordon Erlebacher,M. Yousuff Hussaini,Leland M. Jameson
Publisher : Oxford University Press
Page : 524 pages
File Size : 45,7 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.

Wavelet Transforms

Author : Raghuveer M. Rao
Publisher : Pearson Education India
Page : 320 pages
File Size : 50,9 Mb
Release : 1998
Category : Signal processing
ISBN : 8131705315

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Wavelet Transforms by Raghuveer M. Rao Pdf

This Book Identifies Problems For Which Wavelet Transform Techniques Are Well-Suited, Shows How To Implement Wavelet Transforms Efficiently, And Explains How To Choose Or Design Appropriate Wavelets For A Given Application. Practical In Their Approach, The Authors Present The Material In A Visual And Comprehensive Manner, Using Geometric Analogies And Filtering Concepts. The Book Is Written In A Language Familiar To Readers With A Basic Undergraduate Engineering Degree.

Wavelets

Author : Gerard Meurant
Publisher : Academic Press
Page : 723 pages
File Size : 52,8 Mb
Release : 2012-12-02
Category : Technology & Engineering
ISBN : 9780323139748

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Wavelets by Gerard Meurant Pdf

Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume. Covers several of the most important areas in wavelets, ranging from the development of the basic theory, such as: Construction and analysis of wavelet bases Introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding Extensive bibliography is also included in this volume Companion to the first volume in this series, An Introduction to Wavelets, and can be used as supplementary instructional material for a two-semester course on wavelet analysis

Wavelets

Author : A. K. Louis,D. Maass,A. Rieder
Publisher : Wiley
Page : 342 pages
File Size : 47,5 Mb
Release : 1997-10-07
Category : Mathematics
ISBN : 0471967920

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Wavelets by A. K. Louis,D. Maass,A. Rieder Pdf

With applications in pattern recognition, data compression and numerical analysis, the wavelet transform is a key area of modern mathematics that brings new approaches to the analysis and synthesis of signals. This book presents the central issues and emphasizes comparison, assessment and how to combine method and application. It reviews different approaches to guide researchers to appropriate classes of techniques.

Computational Signal Processing with Wavelets

Author : Anthony Teolis
Publisher : Birkhäuser
Page : 324 pages
File Size : 53,9 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

Wavelets

Author : T. H. Koornwinder
Publisher : World Scientific
Page : 244 pages
File Size : 45,7 Mb
Release : 1993-01-01
Category : Science
ISBN : 9810224869

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Wavelets by T. H. Koornwinder Pdf

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers. The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in various areas. Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors. The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases.

Insight Into Wavelets : from Theory to Practice

Author : K. P. Soman
Publisher : PHI Learning Pvt. Ltd.
Page : 464 pages
File Size : 51,8 Mb
Release : 2010
Category : Wavelets (Mathematics)
ISBN : 9788120340534

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Insight Into Wavelets : from Theory to Practice by K. P. Soman Pdf

Wavelets in Signal and Image Analysis

Author : A.A. Petrosian,F.G. Meyer
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 45,8 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.