Wavelet Analysis

Author : Lakshman Prasad,S. Sitharama Iyengar
Publisher : CRC Press
Page : 300 pages
File Size : 42,8 Mb
Release : 2020-01-29
Category : Mathematics
ISBN : 9781000721980

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Wavelet Analysis with Applications to Image Processing by Lakshman Prasad,S. Sitharama Iyengar Pdf

Wavelet analysis is among the newest additions to the arsenals of mathematicians, scientists, and engineers, and offers common solutions to diverse problems. However, students and professionals in some areas of engineering and science, intimidated by the mathematical background necessary to explore this subject, have been unable to use this powerful tool. The first book on the topic for readers with minimal mathematical backgrounds, Wavelet Analysis with Applications to Image Processing provides a thorough introduction to wavelets with applications in image processing. Unlike most other works on this subject, which are often collections of papers or research advances, this book offers students and researchers without an extensive math background a step-by-step introduction to the power of wavelet transforms and applications to image processing. The first four chapters introduce the basic topics of analysis that are vital to understanding the mathematics of wavelet transforms. Subsequent chapters build on the information presented earlier to cover the major themes of wavelet analysis and its applications to image processing. This is an ideal introduction to the subject for students, and a valuable reference guide for professionals working in image processing.

Author : David F. Walnut
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 48,5 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 : Andrew Bruce,Hong-Ye Gao
Publisher : Springer Science & Business Media
Page : 568 pages
File Size : 46,9 Mb
Release : 1996-06-20
Category : Computers
ISBN : 0387947140

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Applied Wavelet Analysis with S-PLUS by Andrew Bruce,Hong-Ye Gao Pdf

Using a visual data analysis approach, wavelet concepts are explained in a way that is intuitive and easy to understand. Furthermore, in addition to wavelets, a whole range of related signal processing techniques such as wavelet packets, local cosine analysis, and matching pursuits are covered, and applications of wavelet analysis are illustrated -including nonparametric function estimation, digital image compression, and time-frequency signal analysis. This book and software package is intended for a broad range of data analysts, scientists, and engineers. While most textbooks on the subject presuppose advanced training in mathematics, this book merely requires that readers be familiar with calculus and linear algebra at the undergraduate level.

Author : Howard L. Resnikoff,Raymond O.Jr. Wells
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461205937

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Wavelet Analysis by Howard L. Resnikoff,Raymond O.Jr. Wells Pdf

This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.

Author : George Bachmann,Lawrence Narici,EDWARD BECKENSTEIN
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 42,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461205050

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Fourier and Wavelet Analysis by George Bachmann,Lawrence Narici,EDWARD BECKENSTEIN Pdf

This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and cosine transforms, and wavelets. The books approach emphasizes the role of the "selector" functions, and is not embedded in the usual engineering context, which makes the material more accessible to a wider audience. While there are several publications on the various individual topics, none combine or even include all of the above.

Author : Charles K. Chui
Publisher : Elsevier
Page : 278 pages
File Size : 50,9 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 : Biswaranjan Behera,Qaiser Jahan
Publisher : Springer Nature
Page : 345 pages
File Size : 55,8 Mb
Release : 2022-01-01
Category : Mathematics
ISBN : 9789811678813

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Wavelet Analysis on Local Fields of Positive Characteristic by Biswaranjan Behera,Qaiser Jahan Pdf

This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces.

Author : Mladen Victor Wickerhauser
Publisher : CRC Press
Page : 498 pages
File Size : 41,5 Mb
Release : 1996-04-17
Category : Mathematics
ISBN : 9781439863619

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Adapted Wavelet Analysis by Mladen Victor Wickerhauser Pdf

This detail-oriented text is intended for engineers and applied mathematicians who must write computer programs to perform wavelet and related analysis on real data. It contains an overview of mathematical prerequisites and proceeds to describe hands-on programming techniques to implement special programs for signal analysis and other applications. From the table of contents: - Mathematical Preliminaries - Programming Techniques - The Discrete Fourier Transform - Local Trigonometric Transforms - Quadrature Filters - The Discrete Wavelet Transform - Wavelet Packets - The Best Basis Algorithm - Multidimensional Library Trees - Time-Frequency Analysis - Some Applications - Solutions to Some of the Exercises - List of Symbols - Quadrature Filter Coefficients

Author : Hartmut Führ
Publisher : Springer
Page : 193 pages
File Size : 45,9 Mb
Release : 2005-01-17
Category : Mathematics
ISBN : 9783540315520

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Abstract Harmonic Analysis of Continuous Wavelet Transforms by Hartmut Führ Pdf

This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

Author : Sabrine Arfaoui,Imen Rezgui,Anouar Ben Mabrouk
Publisher : Walter de Gruyter GmbH & Co KG
Page : 156 pages
File Size : 49,5 Mb
Release : 2017-03-20
Category : Mathematics
ISBN : 9783110481242

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Wavelet Analysis on the Sphere by Sabrine Arfaoui,Imen Rezgui,Anouar Ben Mabrouk Pdf

The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the construction of wavelet bases using special functions, especially Bessel, Hermite, Tchebychev, and Gegenbauer polynomials.

Author : Paul S. Addison
Publisher : CRC Press
Page : 551 pages
File Size : 55,8 Mb
Release : 2017-01-06
Category : Mathematics
ISBN : 9781315355283

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The Illustrated Wavelet Transform Handbook by Paul S. Addison Pdf

This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods. The book is designed specifically for the applied reader in science, engineering, medicine and finance. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, while readers already acquainted with wavelets can use the book to broaden their perspective. One of the many strengths of the book is its use of several hundred illustrations, some in colour, to convey key concepts and their varied practical uses. Chapters exploring these practical applications highlight both the similarities and differences in wavelet transform methods across different disciplines and also provide a comprehensive list of over 1000 references that will serve as a valuable resource for further study. Paul Addison is a Technical Fellow with Medtronic, a global medical technology company. Previously, he was co-founder and CEO of start-up company, CardioDigital Ltd (and later co-founded its US subsidiary, CardioDigital Inc) - a company concerned with the development of novel wavelet-based methods for biosignal analysis. He has a master’s degree in engineering and a PhD in fluid mechanics, both from the University of Glasgow, Scotland (founded 1451). His former academic life as a tenured professor of fluids engineering included the output of a large number of technical papers, covering many aspects of engineering and bioengineering, and two textbooks: Fractals and Chaos: An Illustrated Course and the first edition of The Illustrated Wavelet Transform Handbook. At the time of publication, the author has over 100 issued US patents concerning a wide range of medical device technologies, many of these concerning the wavelet transform analysis of biosignals. He is both a Chartered Engineer and Chartered Physicist.

Author : Yves Meyer,Sylvie Roques
Publisher : Atlantica Séguier Frontières
Page : 808 pages
File Size : 46,7 Mb
Release : 1993
Category : Wavelets
ISBN : 2863321307

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Progress in Wavelet Analysis and Applications by Yves Meyer,Sylvie Roques Pdf

Author : Marco Gallegati,Willi Semmler
Publisher : Springer
Page : 271 pages
File Size : 47,8 Mb
Release : 2014-08-04
Category : Business & Economics
ISBN : 9783319070612

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Wavelet Applications in Economics and Finance by Marco Gallegati,Willi Semmler Pdf

This book deals with the application of wavelet and spectral methods for the analysis of nonlinear and dynamic processes in economics and finance. It reflects some of the latest developments in the area of wavelet methods applied to economics and finance. The topics include business cycle analysis, asset prices, financial econometrics, and forecasting. An introductory paper by James Ramsey, providing a personal retrospective of a decade's research on wavelet analysis, offers an excellent overview over the field.

Author : Donald B. Percival,Andrew T. Walden
Publisher : Cambridge University Press
Page : 628 pages
File Size : 52,8 Mb
Release : 2006-02-27
Category : Mathematics
ISBN : 9781107717398

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Wavelet Methods for Time Series Analysis by Donald B. Percival,Andrew T. Walden Pdf

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.

Author : Jonas Gomes,Luiz Velho
Publisher : Springer
Page : 210 pages
File Size : 45,8 Mb
Release : 2015-09-15
Category : Mathematics
ISBN : 9783319220758

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From Fourier Analysis to Wavelets by Jonas Gomes,Luiz Velho Pdf

This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.