Construction Of Wavelets Through Walsh Functions

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Construction of Wavelets Through Walsh Functions

Author : Yu. A. Farkov
Publisher : Springer
ISBN 13 : 9811363706
Total Pages : 381 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Construction of Wavelets Through Walsh Functions by : Yu. A. Farkov

Download or read book Construction of Wavelets Through Walsh Functions written by Yu. A. Farkov and published by Springer. This book was released on 2019-04-29 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh–Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar–Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book’s main theme. Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis.

Construction of Wavelets Through Walsh Functions

Author : Yu. A. Farkov
Publisher :
ISBN 13 : 9789811363719
Total Pages : pages
Book Rating : 4.3/5 (637 download)

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Book Synopsis Construction of Wavelets Through Walsh Functions by : Yu. A. Farkov

Download or read book Construction of Wavelets Through Walsh Functions written by Yu. A. Farkov and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh-Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar-Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book's main theme. Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis.

Wavelet Analysis on Local Fields of Positive Characteristic

Author : Biswaranjan Behera
Publisher : Springer Nature
ISBN 13 : 9811678812
Total Pages : 345 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Wavelet Analysis on Local Fields of Positive Characteristic by : Biswaranjan Behera

Download or read book Wavelet Analysis on Local Fields of Positive Characteristic written by Biswaranjan Behera and published by Springer Nature. This book was released on 2022-01-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modelling, Optimization, Analytic and Numerical Solutions

Author : Pammy Manchanda
Publisher : Springer Nature
ISBN 13 : 981150928X
Total Pages : 431 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Modelling, Optimization, Analytic and Numerical Solutions by : Pammy Manchanda

Download or read book Mathematical Modelling, Optimization, Analytic and Numerical Solutions written by Pammy Manchanda and published by Springer Nature. This book was released on 2020-02-04 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers in the fields of industrial and applied mathematics.

Fundamental Papers in Wavelet Theory

Author : Christopher Heil
Publisher : Princeton University Press
ISBN 13 : 9781400827268
Total Pages : 912 pages
Book Rating : 4.8/5 (272 download)

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Book Synopsis Fundamental Papers in Wavelet Theory by : Christopher Heil

Download or read book Fundamental Papers in Wavelet Theory written by Christopher Heil and published by Princeton University Press. This book was released on 2009-01-10 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.

Computational Science and its Applications

Author : A. H. Siddiqi
Publisher : CRC Press
ISBN 13 : 1000193691
Total Pages : 394 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Computational Science and its Applications by : A. H. Siddiqi

Download or read book Computational Science and its Applications written by A. H. Siddiqi and published by CRC Press. This book was released on 2020-10-21 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational science is a rapidly growing multidisciplinary field concerned with the design, implementation, and use of mathematical models to analyze and solve real-world problems. It is an area of science that spans many disciplines and which involves the development of models and allows the use of computers to perform simulations or numerical analysis to understand problems that are computational and theoretical. Computational Science and its Applications provides an opportunity for readers to develop abilities to pose and solve problems that combine insights from one or more disciplines from the natural sciences with mathematical tools and computational skills. This requires a unique combination of applied and theoretical knowledge and skills. The topics covered in this edited book are applications of wavelet and fractals, modeling by partial differential equations on flat structure as well as on graphs and networks, computational linguistics, prediction of natural calamities and diseases like epilepsy seizure, heart attack, stroke, biometrics, modeling through inverse problems, interdisciplinary topics of physics, mathematics, and medical science, and modeling of terrorist attacks and human behavior. The focus of this book is not to educate computer specialists, but to provide readers with a solid understanding of basic science as well as an integrated knowledge on how to use essential methods from computational science. Features: Modeling of complex systems Cognitive computing systems for real-world problems Presentation of inverse problems in medical science and their numerical solutions Challenging research problems in many areas of computational science This book could be used as a reference book for researchers working in theoretical research as well as those who are doing modeling and simulation in such disciplines as physics, biology, geoscience, and mathematics, and those who have a background in computational science.

An Introduction to Wavelets

Author : Charles K. Chui
Publisher : Elsevier
ISBN 13 : 1483282864
Total Pages : 278 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Wavelets by : Charles K. Chui

Download or read book An Introduction to Wavelets written by Charles K. Chui and published by Elsevier. This book was released on 2016-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Modeling by Wavelets

Author : Brani Vidakovic
Publisher : John Wiley & Sons
ISBN 13 : 0470317868
Total Pages : 410 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Statistical Modeling by Wavelets by : Brani Vidakovic

Download or read book Statistical Modeling by Wavelets written by Brani Vidakovic and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, step-by-step introduction to wavelets in statistics. What are wavelets? What makes them increasingly indispensable in statistical nonparametrics? Why are they suitable for "time-scale" applications? How are they used to solve such problems as denoising, regression, or density estimation? Where can one find up-to-date information on these newly "discovered" mathematical objects? These are some of the questions Brani Vidakovic answers in Statistical Modeling by Wavelets. Providing a much-needed introduction to the latest tools afforded statisticians by wavelet theory, Vidakovic compiles, organizes, and explains in depth research data previously available only in disparate journal articles. He carefully balances both statistical and mathematical techniques, supplementing the material with a wealth of examples, more than 100 illustrations, and extensive references-with data sets and S-Plus wavelet overviews made available for downloading over the Internet. Both introductory and data-oriented modeling topics are featured, including: * Continuous and discrete wavelet transformations. * Statistical optimality properties of wavelet shrinkage. * Theoretical aspects of wavelet density estimation. * Bayesian modeling in the wavelet domain. * Properties of wavelet-based random functions and densities. * Several novel and important wavelet applications in statistics. * Wavelet methods in time series. Accessible to anyone with a background in advanced calculus and algebra, Statistical Modeling by Wavelets promises to become the standard reference for statisticians and engineers seeking a comprehensive introduction to an emerging field.

Wavelets, Their Friends, and what They Can Do for You

Author : Martin J. Mohlenkamp
Publisher : European Mathematical Society
ISBN 13 : 9783037190180
Total Pages : 124 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Wavelets, Their Friends, and what They Can Do for You by : Martin J. Mohlenkamp

Download or read book Wavelets, Their Friends, and what They Can Do for You written by Martin J. Mohlenkamp and published by European Mathematical Society. This book was released on 2008 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes introduce the central concepts surrounding wavelets and their applications. By focusing on the essential ideas and arguments, the authors enable readers to get to the heart of the matter as quickly as possible. A list of references guides readers interested in further study to the appropriate places in the literature for detailed proofs and real applications. The authors begin with the notion of time-frequency analysis, present the multiresolution analysis and basic wavelet construction, introduce the many friends, relatives, and mutations of wavelets, and finally give a selection of applications. This book is suitable for beginning graduate students and above. A preliminary chapter containing some of the prerequisite concepts and definitions is included for reference.

Wavelets:Theory,Applications,Implementation

Author : M.V. Altaisky
Publisher : Universities Press
ISBN 13 : 9788173715037
Total Pages : 168 pages
Book Rating : 4.7/5 (15 download)

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Book Synopsis Wavelets:Theory,Applications,Implementation by : M.V. Altaisky

Download or read book Wavelets:Theory,Applications,Implementation written by M.V. Altaisky and published by Universities Press. This book was released on 2005-02 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wavelets Through a Looking Glass

Author : Ola Bratteli
Publisher : Springer Science & Business Media
ISBN 13 : 0817681442
Total Pages : 413 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Wavelets Through a Looking Glass by : Ola Bratteli

Download or read book Wavelets Through a Looking Glass written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: ? Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource.; New previously unpublished results appear on the homotopy of multiresolutions, approximation theory, the spectrum and structure of the fixed points of the associated transfer, subdivision operators; Key topics of wavelet theory are examined; Excellent graphics show how wavelets depend on the spectra of the transfer operators; The important role of the spectrum of a transfer operator is studied; This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory.

Wavelets in Soft Computing

Author : Marc Thuillard
Publisher : World Scientific
ISBN 13 : 9810246099
Total Pages : 246 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Wavelets in Soft Computing by : Marc Thuillard

Download or read book Wavelets in Soft Computing written by Marc Thuillard and published by World Scientific. This book was released on 2001 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of integration of wavelet theory and multiresolution analysis into soft computing. It is the first book on hybrid methods combining wavelet analysis with fuzzy logic, neural networks or genetic algorithms. Much attention is given to new approaches (fuzzy-wavelet) that permit one to develop, using wavelet techniques, linguistically interpretable fuzzy systems from data. The book also introduces the reader to wavelet-based genetic algorithms and multiresolution search. A special place is given to methods that have been implemented in real world applications, particularly the different techniques combining fuzzy logic or neural networks with wavelet theory.

Wavelets

Author : Peter Nickolas
Publisher : Cambridge University Press
ISBN 13 : 1316727939
Total Pages : 275 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Wavelets by : Peter Nickolas

Download or read book Wavelets written by Peter Nickolas and published by Cambridge University Press. This book was released on 2017-01-11 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.

An Introduction to Wavelet Analysis

Author : David F. Walnut
Publisher : Springer Science & Business Media
ISBN 13 : 1461200016
Total Pages : 453 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Wavelet Analysis by : David F. Walnut

Download or read book An Introduction to Wavelet Analysis written by David F. Walnut and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wavelets

Author : Gerard Meurant
Publisher : Academic Press
ISBN 13 : 0323139744
Total Pages : 723 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Wavelets by : Gerard Meurant

Download or read book Wavelets written by Gerard Meurant and published by Academic Press. This book was released on 2012-12-02 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Stephane Jaffard
Publisher : SIAM
ISBN 13 : 0898714486
Total Pages : 257 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Wavelets by : Stephane Jaffard

Download or read book Wavelets written by Stephane Jaffard and published by SIAM. This book was released on 2001-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited update of Meyer's Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to H?lder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.

A First Course in Wavelets with Fourier Analysis

Author : Albert Boggess
Publisher : John Wiley & Sons
ISBN 13 : 1119214327
Total Pages : 336 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis A First Course in Wavelets with Fourier Analysis by : Albert Boggess

Download or read book A First Course in Wavelets with Fourier Analysis written by Albert Boggess and published by John Wiley & Sons. This book was released on 2015-08-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.