Wavelets In Physics

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Wavelets in Physics

Author : J. C. van den Berg
Publisher : Cambridge University Press
ISBN 13 : 9780521533539
Total Pages : 478 pages
Book Rating : 4.5/5 (335 download)

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Book Synopsis Wavelets in Physics by : J. C. van den Berg

Download or read book Wavelets in Physics written by J. C. van den Berg and published by Cambridge University Press. This book was released on 2004-03-18 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys the application of the recently developed technique of the wavelet transform to a wide range of physical fields, including astrophysics, turbulence, meteorology, plasma physics, atomic and solid state physics, multifractals occurring in physics, biophysics (in medicine and physiology) and mathematical physics. The wavelet transform can analyze scale-dependent characteristics of a signal (or image) locally, unlike the Fourier transform, and more flexibly than the windowed Fourier transform developed by Gabor fifty years ago. The continuous wavelet transform is used mostly for analysis, but the discrete wavelet transform allows very fast compression and transmission of data and speeds up numerical calculation, and is applied, for example, in the solution of partial differential equations in physics. This book will be of interest to graduate students and researchers in many fields of physics, and to applied mathematicians and engineers interested in physical application.

Wavelets in Physics

Author : J. C. van den Berg
Publisher : Cambridge University Press
ISBN 13 : 9780521593113
Total Pages : 482 pages
Book Rating : 4.5/5 (931 download)

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Book Synopsis Wavelets in Physics by : J. C. van den Berg

Download or read book Wavelets in Physics written by J. C. van den Berg and published by Cambridge University Press. This book was released on 1999-08-19 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the application of the wavelet transform to a wide range of physical fields.

Wavelets in Physics

Author : Lizhi Fang
Publisher : World Scientific
ISBN 13 : 9789810234621
Total Pages : 232 pages
Book Rating : 4.2/5 (346 download)

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Book Synopsis Wavelets in Physics by : Lizhi Fang

Download or read book Wavelets in Physics written by Lizhi Fang and published by World Scientific. This book was released on 1998 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent advances have shown wavelets to be an effective, and even necessary, mathematical tool for theoretical physics. This book is a timely overview of the progress of this new frontier. It includes an introduction to wavelet analysis, and applications in the fields of high energy physics, astrophysics, cosmology and statistical physics. The topics are selected for the interests of physicists and graduate students of theoretical studies. It emphasizes the need for wavelets in describing and revealing structure in physical problems, which is not easily accomplishing by other methods.

Wavelets

Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000443469
Total Pages : 586 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Wavelets by : John J. Benedetto

Download or read book Wavelets written by John J. Benedetto and published by CRC Press. This book was released on 2021-07-28 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.

Coherent States, Wavelets, and Their Generalizations

Author : Syed Twareque Ali
Publisher : Springer Science & Business Media
ISBN 13 : 1461485355
Total Pages : 586 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Coherent States, Wavelets, and Their Generalizations by : Syed Twareque Ali

Download or read book Coherent States, Wavelets, and Their Generalizations written by Syed Twareque Ali and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, Gazeau-Klauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self-contained. With its extensive references to the research literature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable.

Ten Lectures on Wavelets

Author : Ingrid Daubechies
Publisher : SIAM
ISBN 13 : 9781611970104
Total Pages : 357 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Ten Lectures on Wavelets by : Ingrid Daubechies

Download or read book Ten Lectures on Wavelets written by Ingrid Daubechies and published by SIAM. This book was released on 1992-01-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.

Wavelets

Author : Amir-Homayoon Najmi
Publisher : JHU Press
ISBN 13 : 1421405598
Total Pages : 303 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Wavelets by : Amir-Homayoon Najmi

Download or read book Wavelets written by Amir-Homayoon Najmi and published by JHU Press. This book was released on 2012-04-15 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced nearly three decades ago as a variable resolution alternative to the Fourier transform, a wavelet is a short oscillatory waveform for analysis of transients. The discrete wavelet transform has remarkable multi-resolution and energy-compaction properties. Amir-Homayoon Najmi’s introduction to wavelet theory explains this mathematical concept clearly and succinctly. Wavelets are used in processing digital signals and imagery from myriad sources. They form the backbone of the JPEG2000 compression standard, and the Federal Bureau of Investigation uses biorthogonal wavelets to compress and store its vast database of fingerprints. Najmi provides the mathematics that demonstrate how wavelets work, describes how to construct them, and discusses their importance as a tool to investigate and process signals and imagery. He reviews key concepts such as frames, localizing transforms, orthogonal and biorthogonal bases, and multi-resolution. His examples include the Haar, the Shannon, and the Daubechies families of orthogonal and biorthogonal wavelets. Our capacity and need for collecting and transmitting digital data is increasing at an astonishing rate. So too is the importance of wavelets to anyone working with and analyzing digital data. Najmi’s primer will be an indispensable resource for those in computer science, the physical sciences, applied mathematics, and engineering who wish to obtain an in-depth understanding and working knowledge of this fascinating and evolving field.

Wavelet Theory

Author : David K. Ruch
Publisher : John Wiley & Sons
ISBN 13 : 1118165667
Total Pages : 502 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Wavelet Theory by : David K. Ruch

Download or read book Wavelet Theory written by David K. Ruch and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications. The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment of various types of wavelets and their related concepts, such as Haar spaces, multiresolution analysis, Daubechies wavelets, and biorthogonal wavelets. In addition, the authors include two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book. Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.

Fundamental Papers in Wavelet Theory

Author : Christopher Heil
Publisher : Princeton University Press
ISBN 13 : 1400827264
Total Pages : 897 pages
Book Rating : 4.4/5 (8 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 897 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.

Wavelets and Their Applications

Author : J.S. Byrnes
Publisher : Springer Science & Business Media
ISBN 13 : 9780792330783
Total Pages : 432 pages
Book Rating : 4.3/5 (37 download)

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Book Synopsis Wavelets and Their Applications by : J.S. Byrnes

Download or read book Wavelets and Their Applications written by J.S. Byrnes and published by Springer Science & Business Media. This book was released on 1994-08-31 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.

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.

Wavelet Transforms and Their Applications

Author : Lokenath Debnath
Publisher : Springer
ISBN 13 : 0817684182
Total Pages : 562 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer. This book was released on 2014-11-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology

Author : Dumitru Baleanu
Publisher : BoD – Books on Demand
ISBN 13 : 9535104942
Total Pages : 650 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology by : Dumitru Baleanu

Download or read book Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology written by Dumitru Baleanu and published by BoD – Books on Demand. This book was released on 2012-04-04 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of the wavelet transform to analyze the behaviour of the complex systems from various fields started to be widely recognized and applied successfully during the last few decades. In this book some advances in wavelet theory and their applications in engineering, physics and technology are presented. The applications were carefully selected and grouped in five main sections - Signal Processing, Electrical Systems, Fault Diagnosis and Monitoring, Image Processing and Applications in Engineering. One of the key features of this book is that the wavelet concepts have been described from a point of view that is familiar to researchers from various branches of science and engineering. The content of the book is accessible to a large number of readers.

Different Perspectives on Wavelets

Author : Ingrid Daubechies
Publisher : American Mathematical Soc.
ISBN 13 : 1470429209
Total Pages : 220 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Different Perspectives on Wavelets by : Ingrid Daubechies

Download or read book Different Perspectives on Wavelets written by Ingrid Daubechies and published by American Mathematical Soc.. This book was released on 2016-04-30 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of ``building blocks'' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different ``sizes'' which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Wavelets for Computer Graphics

Author : Eric J. Stollnitz
Publisher : Morgan Kaufmann
ISBN 13 : 9781558603752
Total Pages : 292 pages
Book Rating : 4.6/5 (37 download)

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Book Synopsis Wavelets for Computer Graphics by : Eric J. Stollnitz

Download or read book Wavelets for Computer Graphics written by Eric J. Stollnitz and published by Morgan Kaufmann. This book was released on 1996 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.

Ripples in Mathematics

Author : A. Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 3642567029
Total Pages : 250 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Ripples in Mathematics by : A. Jensen

Download or read book Ripples in Mathematics written by A. Jensen and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the discrete wavelet transform and its applications is based on a novel approach to discrete wavelets called lifting. After an elementary introduction, connections of filter theory are presented, and wavelet packet transforms are defined. The time-frequency plane is used for interpretation of signals, problems with finite length signals are detailed, and MATLAB is used for examples and implementation of transforms.

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

Author : W.-H. Steeb
Publisher : Springer Science & Business Media
ISBN 13 : 9401153329
Total Pages : 247 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb

Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.