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Introduction To Wavelets And Wavelet Transforms


Introduction To Wavelets And Wavelet Transforms
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Introduction To Wavelets And Wavelet Transforms


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 Wavelets And Wavelet Transforms A Primer


Introduction To Wavelets And Wavelet Transforms A Primer
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Author : C. Sidney Burrus
language : en
Publisher:
Release Date : 1998

Introduction To Wavelets And Wavelet Transforms A Primer written by C. Sidney Burrus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Signal processing categories.




Wavelets And Filter Banks


Wavelets And Filter Banks
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Author : Gilbert Strang
language : en
Publisher: SIAM
Release Date : 1996-10-01

Wavelets And Filter Banks written by Gilbert Strang and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-01 with Technology & Engineering categories.


A comprehensive treatment of wavelets for both engineers and mathematicians.



Wavelet Transforms And Their Applications


Wavelet Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28

Wavelet Transforms And Their Applications written by Lokenath Debnath 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 2011-06-28 with Technology & Engineering categories.


Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines, and improvement in CAT scans and other medical image technology. Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms, called the fundamental building blocks, at different positions and scales and subsequently reconstructed with high precision.



Wavelet Methods For Time Series Analysis


Wavelet Methods For Time Series Analysis
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Author : Donald B. Percival
language : en
Publisher: Cambridge University Press
Release Date : 2006-02-27

Wavelet Methods For Time Series Analysis written by Donald B. Percival and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-27 with Mathematics categories.


This introduction to wavelet analysis 'from the ground level and up', and to wavelet-based statistical analysis of time series focuses on practical discrete time techniques, with detailed descriptions of the theory and algorithms needed to understand and implement the discrete wavelet transforms. Numerous examples illustrate the techniques on actual time series. The many embedded exercises - with complete solutions provided in the Appendix - allow readers to use the book for self-guided study. Additional exercises can be used in a classroom setting. A Web site offers access to the time series and wavelets used in the book, as well as information on accessing software in S-Plus and other languages. Students and researchers wishing to use wavelet methods to analyze time series will find this book essential.



Wavelet Transforms


Wavelet Transforms
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Author : Raghuveer M. Rao
language : en
Publisher:
Release Date : 1999

Wavelet Transforms written by Raghuveer M. Rao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Signal processing categories.




An Introduction To Wavelets


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



The Illustrated Wavelet Transform Handbook


The Illustrated Wavelet Transform Handbook
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Author : Paul S Addison
language : en
Publisher: CRC Press
Release Date : 2002-07-15

The Illustrated Wavelet Transform Handbook written by Paul S Addison and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-15 with Science categories.


The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.



Wavelet Transforms And Their Applications


Wavelet Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: Springer
Release Date : 2014-11-25

Wavelet Transforms And Their Applications written by Lokenath Debnath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-25 with Technology & Engineering categories.


This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.



Introduction To Hilbert Spaces With Applications


Introduction To Hilbert Spaces With Applications
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Author : Lokenath Debnath
language : en
Publisher: Elsevier
Release Date : 2005-09-29

Introduction To Hilbert Spaces With Applications written by Lokenath Debnath and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-29 with Mathematics categories.


Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory. - Updated chapter on wavelets - Improved presentation on results and proof - Revised examples and updated applications - Completely updated list of references