An Introduction To Wavelet Analysis
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An Introduction To Wavelet Analysis
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Author : David F. Walnut
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
An Introduction To Wavelet Analysis written by David F. Walnut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
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.
An Introduction To Wavelets
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Author : Charles K. Chui
language : en
Publisher: Elsevier
Release Date : 2014-06-28
An Introduction To Wavelets written by Charles K. Chui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
An Introduction to Wavelets is the first volume in a new series, WAVELET ANALYSIS AND ITS APPLICATIONS. This is an introductory treatise on wavelet analysis, with an emphasis on spline wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization, integral wavelet transforms, dyadic wavelets, frames, spline-wavelets, orthonormal wavelet bases, and wavelet packets. In addition, the author presents a unified treatment of nonorthogonal, semiorthogonal, and orthogonal wavelets. This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis. It is suitable as a textbook for a beginning course on wavelet analysis and is directed toward both mathematicians and engineers who wish to learn about the subject. Specialists may use this volume as a valuable supplementary reading to the vast literature that has already emerged in this field. - This is an introductory treatise on wavelet analysis, with an emphasis on spline-wavelets and time-frequency analysis - This monograph is self-contained, the only prerequisite being a basic knowledge of function theory and real analysis - Suitable as a textbook for a beginning course on wavelet analysis
An Introduction To Wavelet Analysis
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Author : Walnut
language : en
Publisher:
Release Date : 2008-08-01
An Introduction To Wavelet Analysis written by Walnut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-01 with categories.
An Introduction To Wavelets Through Linear Algebra
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Author : Michael W. Frazier
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
An Introduction To Wavelets Through Linear Algebra written by Michael W. Frazier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
Mathematics majors at Michigan State University take a “Capstone” course near the end of their undergraduate careers. The content of this course varies with each offering. Its purpose is to bring together different topics from the undergraduate curriculum and introduce students to a developing area in mathematics. This text was originally written for a Capstone course. Basicwavelettheoryisanaturaltopicforsuchacourse. Byname, wavelets date back only to the 1980s. On the boundary between mathematics and engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical solution of differential equations. The author believes that the essentials of wavelet theory are suf?ciently elementary to be taught successfully to advanced undergraduates. This text is intended for undergraduates, so only a basic background in linear algebra and analysis is assumed. We do not require familiarity with complex numbers and the roots of unity. These are introduced in the ?rst two sections of chapter 1. In the remainder of chapter 1 we review linear algebra. Students should be familiar with the basic de?nitions in sections 1. 3 and 1. 4. From our viewpoint, linear transformations are the primary object of study; v Preface vi a matrix arises as a realization of a linear transformation. Many students may have been exposed to the material on change of basis in section 1. 4, but may bene?t from seeing it again. In section 1.
Real Analysis With An Introduction To Wavelets And Applications
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Author : Don Hong
language : en
Publisher: Elsevier
Release Date : 2004-12-31
Real Analysis With An Introduction To Wavelets And Applications written by Don Hong and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-31 with Mathematics categories.
Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. The text is relatively elementary at the start, but the level of difficulty steadily increases The book contains many clear, detailed examples, case studies and exercises Many real world applications relating to measure theory and pure analysis Introduction to wavelet analysis
An Introduction To Wavelet Analysis
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Author : David F. Walnut
language : en
Publisher:
Release Date : 2002
An Introduction To Wavelet Analysis written by David F. Walnut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Ondelettes categories.
A Friendly Guide To Wavelets
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Author : Gerald Kaiser
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-03
A Friendly Guide To Wavelets written by Gerald Kaiser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-03 with Mathematics categories.
This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas. Since the expected audience is not presumed to have a high level of mathematical background, much of the needed analytical machinery is developed from the beginning. The only prerequisites for the first eight chapters are matrix theory, Fourier series, and Fourier integral transforms. Each of these chapters ends with a set of straightforward exercises designed to drive home the concepts just covered, and the many graphics should further facilitate absorption.
Wavelets
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Author : M. Holschneider
language : en
Publisher: Oxford University Press, USA
Release Date : 1995
Wavelets written by M. Holschneider and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
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.
Introduction To Wavelets And Wavelet Transforms
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Author : C. S. Burrus
language : en
Publisher: Pearson
Release Date : 1998
Introduction To Wavelets And Wavelet Transforms written by C. S. Burrus and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods. This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.
Introduction To Wavelet Theory In Finance An A Wavelet Multiscale Approach
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Author : Francis Haeuck In
language : en
Publisher: World Scientific
Release Date : 2012-09-28
Introduction To Wavelet Theory In Finance An A Wavelet Multiscale Approach written by Francis Haeuck In and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-28 with Business & Economics categories.
This book offers an introduction to wavelet theory and provides the essence of wavelet analysis — including Fourier analysis and spectral analysis; the maximum overlap discrete wavelet transform; wavelet variance, covariance, and correlation — in a unified and friendly manner. It aims to bridge the gap between theory and practice by presenting substantial applications of wavelets in economics and finance.This book is the first to provide a comprehensive application of wavelet analysis to financial markets, covering new frontier issues in empirical finance and economics. The first chapter of this unique text starts with a description of the key features and applications of wavelets. After an overview of wavelet analysis, successive chapters rigorously examine the various economic and financial topics and issues that stimulate academic and professional research, including equity, interest swaps, hedges and futures, foreign exchanges, financial asset pricing, and mutual fund markets.This detail-oriented text is descriptive and designed purely for academic researchers and financial practitioners. It assumes no prior knowledge of econometrics and covers important topics such as portfolio asset allocation, asset pricing, hedging strategies, new risk measures, and mutual fund performance. Its accessible presentation is also suitable for post-graduates in a variety of disciplines — applied economics, financial engineering, international finance, financial econometrics, and fund management. To facilitate the subject of wavelets, sophisticated proofs and mathematics are avoided as much as possible when applying the wavelet multiscaling method. To enhance the reader's understanding in practical applications of the wavelet multiscaling method, this book provides sample programming instruction backed by Matlab wavelet code.