Wavelets Made Easy

Author : Yves Nievergelt
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 40,6 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461205739

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Wavelets Made Easy by Yves Nievergelt Pdf

This book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the au dience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate level. It requires only a working knowledge or memories of a first course in linear algebra and calculus. The first part of the book answers the following two questions: What are wavelets? Wavelets extend Fourier analysis. How are wavelets computed? Fast transforms compute them. To show the practical significance of wavelets, the book also provides transitions into several applications: analysis (detection of crashes, edges, or other events), compression (reduction of storage), smoothing (attenuation of noise), and syn thesis (reconstruction after compression or other modification). Such applications include one-dimensional signals (sounds or other time-series), two-dimensional arrays (pictures or maps), and three-dimensional data (spatial diffusion). The ap plications demonstrated here do not constitute recipes for real implementations, but aim only at clarifying and strengthening the understanding of the mathematics of wavelets.

Author : M. Holschneider
Publisher : Oxford University Press, USA
Page : 446 pages
File Size : 48,9 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015049377164

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Wavelets by M. Holschneider Pdf

Wavelets analysis is a recent and rapidly growing area which is attracting a lot of interest, both in its own right and in the area of its applications. This timely book gives a self-contained introduction to wavelet analysis taking account of the continuous transform as well as itsdiscretized version, the ortho-normal basis. The book begins by introducing the continuous wavelets transform in one dimension using many examples. There are detailed discussions of wavelet analysis of regular functions, tempered distributions and square integrable functions. The continuouswavelet transform is deduced by means of various sampling theorems. It is then used as a mathematical microscope to analyse fractals. The language of group theory is used to unify various approaches.

Author : Charles K. Chui
Publisher : Elsevier
Page : 278 pages
File Size : 46,5 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483282862

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An Introduction to Wavelets by Charles K. Chui Pdf

Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.

Author : David F. Walnut
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 45,6 Mb
Release : 2013-12-11
Category : Computers
ISBN : 9781461200017

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An Introduction to Wavelet Analysis by David F. Walnut Pdf

This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.

Author : Peter Nickolas
Publisher : Cambridge University Press
Page : 275 pages
File Size : 49,6 Mb
Release : 2017-01-11
Category : Mathematics
ISBN : 9781107612518

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Wavelets by Peter Nickolas Pdf

Makes the intrinsically advanced theory of wavelets accessible to senior undergraduate students with a mathematical background.

Author : Hans-Georg Stark
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 52,9 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."

Author : Carlo Cattani,I?A?rema I?A?roslavovich Rushchit?s?ki?
Publisher : World Scientific
Page : 473 pages
File Size : 49,8 Mb
Release : 2007
Category : Science
ISBN : 9789812707840

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Wavelet and Wave Analysis as Applied to Materials with Micro Or Nanostructure by Carlo Cattani,I?A?rema I?A?roslavovich Rushchit?s?ki? Pdf

This seminal book unites three different areas of modern science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of a new type of solitary wave in composite materials, nonlinear waves. Each of the three areas is described in a simple and understandable form, focusing on the many perspectives of the links among the three.All of the techniques and procedures are described here in the clearest and most open form, enabling the reader to quickly learn and use them when faced with the new and more advanced problems that are proposed in this book. By combining these new scientific concepts into a unitary model and enlightening readers on this pioneering field of research, readers will hopefully be inspired to explore the more advanced aspects of this promising scientific direction. The application of wavelet analysis to nanomaterials and waves in nanocomposites can be very appealing to both specialists working on theoretical developments in wavelets as well as specialists applying these methods and experiments in the mechanics of materials.

Author : Ola Bratteli,Palle E. T. Jørgensen
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 49,8 Mb
Release : 2002-07-12
Category : Computers
ISBN : 9780817642808

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Wavelets Through a Looking Glass by Ola Bratteli,Palle E. T. Jørgensen Pdf

This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory.

Author : Maarten Jansen
Publisher : Springer Science & Business Media
Page : 196 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461301455

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Noise Reduction by Wavelet Thresholding by Maarten Jansen Pdf

Wavelet methods have become a widely spread tool in signal and image process ing tasks. This book deals with statistical applications, especially wavelet based smoothing. The methods described in this text are examples of non-linear and non parametric curve fitting. The book aims to contribute to the field both among statis ticians and in the application oriented world (including but not limited to signals and images). Although it also contains extensive analyses of some existing methods, it has no intention whatsoever to be a complete overview of the field: the text would show too much bias towards my own algorithms. I rather present new material and own insights in the questions involved with wavelet based noise reduction. On the other hand, the presented material does cover a whole range of methodologies, and in that sense, the book may serve as an introduction into the domain of wavelet smoothing. Throughout the text, three main properties show up ever again: sparsity, locality and multiresolution. Nearly all wavelet based methods exploit at least one of these properties in some or the other way. These notes present research results of the Belgian Programme on Interuniver sity Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture. The scientific responsibility rests with me. My research was financed by a grant (1995 - 1999) from the Flemish Institute for the Promotion of Scientific and Technological Research in the Industry (IWT).

Author : Nirdosh Bhatnagar
Publisher : CRC Press
Page : 268 pages
File Size : 44,6 Mb
Release : 2020-02-18
Category : Computers
ISBN : 9781000768695

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Introduction to Wavelet Transforms by Nirdosh Bhatnagar Pdf

The textbook, Introduction to Wavelet Transforms provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject. Features No prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different topics. Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique. Notation is generally introduced in the definitions. Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems. Examples are provided for clarity and to enhance reader's understanding of the subject. Each chapter also has a problem section. A majority of the problems are provided with sufficient hints. The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject. About the Author: Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year 2019. Nirdosh earned M.S. in Operations Research, and M.S. and Ph.D. in electrical engineering, all from Stanford University, Stanford, California. .

Author : Albert Boggess,Francis J. Narcowich
Publisher : John Wiley & Sons
Page : 248 pages
File Size : 49,6 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118211151

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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.

Author : Jagdev Singh,Devendra Kumar,Hemen Dutta,Dumitru Baleanu,Sunil Dutt Purohit
Publisher : Springer Nature
Page : 311 pages
File Size : 50,9 Mb
Release : 2019-08-31
Category : Mathematics
ISBN : 9789811396083

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Mathematical Modelling, Applied Analysis and Computation by Jagdev Singh,Devendra Kumar,Hemen Dutta,Dumitru Baleanu,Sunil Dutt Purohit Pdf

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

Author : Sabrine Arfaoui,Anouar Ben Mabrouk,Carlo Cattani
Publisher : CRC Press
Page : 254 pages
File Size : 45,6 Mb
Release : 2021-04-20
Category : Mathematics
ISBN : 9781000369540

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Wavelet Analysis by Sabrine Arfaoui,Anouar Ben Mabrouk,Carlo Cattani Pdf

Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world phenomena and data needs (such as finance, medicine, engineering, transport, images, signals, etc.). Features: Offers a self-contained discussion of wavelet theory Suitable for a wide audience of post-graduate students, researchers, practitioners, and theorists Provides researchers with detailed proofs Provides guides for readers to help them understand and practice wavelet analysis in different areas

Author : Sandro Augusto Pavlik Haddad,Wouter A. Serdijn
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 42,9 Mb
Release : 2009-05-26
Category : Technology & Engineering
ISBN : 9781402090738

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Ultra Low-Power Biomedical Signal Processing by Sandro Augusto Pavlik Haddad,Wouter A. Serdijn Pdf

Often WT systems employ the discrete wavelet transform, implemented on a digital signal processor. However, in ultra low-power applications such as biomedical implantable devices, it is not suitable to implement the WT by means of digital circuitry due to the relatively high power consumption associated with the required A/D converter. Low-power analog realization of the wavelet transform enables its application in vivo, e.g. in pacemakers, where the wavelet transform provides a means to extremely reliable cardiac signal detection. In Ultra Low-Power Biomedical Signal Processing we present a novel method for implementing signal processing based on WT in an analog way. The methodology presented focuses on the development of ultra low-power analog integrated circuits that implement the required signal processing, taking into account the limitations imposed by an implantable device.

Author : Anonim
Publisher : Unknown
Page : 702 pages
File Size : 45,5 Mb
Release : 2004
Category : Meteorology
ISBN : CUB:U183029346229

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Monthly Weather Review by Anonim Pdf