A Primer On Wavelets And Their Scientific Applications

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A Primer on Wavelets and Their Scientific Applications

James S. Walker
A Primer on Wavelets and Their Scientific Applications Book PDF

Author : James S. Walker
Publisher : CRC Press
Page : 172 pages
File Size : 52,8 Mb
Release : 2019-07-17
Category : Mathematics
ISBN : 142005001X

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A Primer on Wavelets and Their Scientific Applications by James S. Walker Pdf

The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques. Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data. Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLABä. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned. Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.

A Primer on Wavelets and Their Scientific Applications

James S. Walker
A Primer on Wavelets and Their Scientific Applications Book PDF

Author : James S. Walker
Publisher : Chapman & Hall/CRC
Page : 128 pages
File Size : 55,6 Mb
Release : 2017-07-06
Category : Electronic
ISBN : 1138442437

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A Primer on Wavelets and Their Scientific Applications by James S. Walker Pdf

In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications. Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine. Nearly twice as long as the original, this new edition provides ¿ ¿¿¿104 worked examples and 222 exercises, constituting a veritable book of review material ¿ Two sections on biorthogonal wavelets ¿ A mini-course on image compression, including a tutorial on arithmetic compression ¿ Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter ¿ Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis ¿ An introduction to the multiresolution principle, a new mathematical concept in musical theory ¿ Expanded suggestions for research projects ¿ An enhanced list of references ¿

A Primer on Wavelets and Their Scientific Applications, Second Edition

James S. Walker
A Primer on Wavelets and Their Scientific Applications Second Edition Book PDF

Author : James S. Walker
Publisher : Chapman and Hall/CRC
Page : 320 pages
File Size : 54,6 Mb
Release : 2008-01-29
Category : Mathematics
ISBN : 1584887451

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A Primer on Wavelets and Their Scientific Applications, Second Edition by James S. Walker Pdf

In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications. Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine. Nearly twice as long as the original, this new edition provides · 104 worked examples and 222 exercises, constituting a veritable book of review material · Two sections on biorthogonal wavelets · A mini-course on image compression, including a tutorial on arithmetic compression · Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter · Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis · An introduction to the multiresolution principle, a new mathematical concept in musical theory · Expanded suggestions for research projects · An enhanced list of references · FAWAV: software designed by the author, which allows readers to duplicate described applications and experiment with other ideas. To keep the book current, Professor Walker has created a supplementary website. This online repository includes ready-to-download software, and sound and image files, as well as access to many of the most important papers in the field.

Wavelets and Other Orthogonal Systems, Second Edition

Gilbert G. Walter,Xiaoping Shen
Wavelets and Other Orthogonal Systems Second Edition Book PDF

Author : Gilbert G. Walter,Xiaoping Shen
Publisher : CRC Press
Page : 394 pages
File Size : 46,9 Mb
Release : 2000-12-20
Category : Mathematics
ISBN : 1584882271

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Wavelets and Other Orthogonal Systems, Second Edition by Gilbert G. Walter,Xiaoping Shen Pdf

A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.

A First Course on Wavelets

Eugenio Hernandez,Guido Weiss
A First Course on Wavelets Book PDF

Author : Eugenio Hernandez,Guido Weiss
Publisher : CRC Press
Page : 518 pages
File Size : 55,6 Mb
Release : 1996-09-12
Category : Mathematics
ISBN : 1420049984

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A First Course on Wavelets by Eugenio Hernandez,Guido Weiss Pdf

Wavelet theory had its origin in quantum field theory, signal analysis, and function space theory. In these areas wavelet-like algorithms replace the classical Fourier-type expansion of a function. This unique new book is an excellent introduction to the basic properties of wavelets, from background math to powerful applications. The authors provide elementary methods for constructing wavelets, and illustrate several new classes of wavelets. The text begins with a description of local sine and cosine bases that have been shown to be very effective in applications. Very little mathematical background is needed to follow this material. A complete treatment of band-limited wavelets follows. These are characterized by some elementary equations, allowing the authors to introduce many new wavelets. Next, the idea of multiresolution analysis (MRA) is developed, and the authors include simplified presentations of previous studies, particularly for compactly supported wavelets. Some of the topics treated include: Several bases generated by a single function via translations and dilations Multiresolution analysis, compactly supported wavelets, and spline wavelets Band-limited wavelets Unconditionality of wavelet bases Characterizations of many of the principal objects in the theory of wavelets, such as low-pass filters and scaling functions The authors also present the basic philosophy that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. Material related to applications is provided, and constructions of splines wavelets are presented. Mathematicians, engineers, physicists, and anyone with a mathematical background will find this to be an important text for furthering their studies on wavelets.

Wavelets

John J. Benedetto
Wavelets Book PDF

Author : John J. Benedetto
Publisher : CRC Press
Page : 592 pages
File Size : 48,5 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9781000443462

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Wavelets by John J. Benedetto Pdf

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.

A Friendly Guide to Wavelets

Gerald Kaiser
A Friendly Guide to Wavelets Book PDF

Author : Gerald Kaiser
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 41,9 Mb
Release : 2010-11-03
Category : Mathematics
ISBN : 9780817681111

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A Friendly Guide to Wavelets by Gerald Kaiser Pdf

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.

Wavelet Packets and Their Statistical Applications

Khalil Ahmad,Abdullah
Wavelet Packets and Their Statistical Applications Book PDF

Author : Khalil Ahmad,Abdullah
Publisher : Springer
Page : 238 pages
File Size : 45,6 Mb
Release : 2018-06-21
Category : Mathematics
ISBN : 9789811302688

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Wavelet Packets and Their Statistical Applications by Khalil Ahmad,Abdullah Pdf

This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.

Wavelets in Neuroscience

Alexander E. Hramov,Alexey A. Koronovskii,Valeri A. Makarov,Vladimir A. Maksimenko,Alexey N. Pavlov,Evgenia Sitnikova
Wavelets in Neuroscience Book PDF

Author : Alexander E. Hramov,Alexey A. Koronovskii,Valeri A. Makarov,Vladimir A. Maksimenko,Alexey N. Pavlov,Evgenia Sitnikova
Publisher : Springer Nature
Page : 384 pages
File Size : 42,5 Mb
Release : 2021-06-16
Category : Science
ISBN : 9783030759926

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Wavelets in Neuroscience by Alexander E. Hramov,Alexey A. Koronovskii,Valeri A. Makarov,Vladimir A. Maksimenko,Alexey N. Pavlov,Evgenia Sitnikova Pdf

This book illustrates how modern mathematical wavelet transform techniques offer fresh insights into the complex behavior of neural systems at different levels: from the microscopic dynamics of individual cells to the macroscopic behavior of large neural networks. It also demonstrates how and where wavelet-based mathematical tools can provide an advantage over classical approaches used in neuroscience. The authors well describe single neuron and populational neural recordings. This 2nd edition discusses novel areas and significant advances resulting from experimental techniques and computational approaches developed since 2015, and includes three new topics: • Detection of fEPSPs in multielectrode LFPs recordings. • Analysis of Visual Sensory Processing in the Brain and BCI for Human Attention Control; • Analysis and Real-time Classification of Motor-related EEG Patterns; The book is a valuable resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in these and related areas.

Computational Science – ICCS 2018

Yong Shi,Haohuan Fu,Yingjie Tian,Valeria V. Krzhizhanovskaya,Michael Harold Lees,Jack Dongarra,Peter M. A. Sloot
Computational Science ICCS 2018 Book PDF

Author : Yong Shi,Haohuan Fu,Yingjie Tian,Valeria V. Krzhizhanovskaya,Michael Harold Lees,Jack Dongarra,Peter M. A. Sloot
Publisher : Springer
Page : 884 pages
File Size : 49,7 Mb
Release : 2018-06-11
Category : Computers
ISBN : 9783319937014

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Computational Science – ICCS 2018 by Yong Shi,Haohuan Fu,Yingjie Tian,Valeria V. Krzhizhanovskaya,Michael Harold Lees,Jack Dongarra,Peter M. A. Sloot Pdf

The three-volume set LNCS 10860, 10861 and 10862 constitutes the proceedings of the 18th International Conference on Computational Science, ICCS 2018, held in Wuxi, China, in June 2018. The total of 155 full and 66 short papers presented in this book set was carefully reviewed and selected from 404 submissions. The papers were organized in topical sections named: Part I: ICCS Main Track Part II: Track of Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Track of Agent-Based Simulations, Adaptive Algorithms and Solvers; Track of Applications of Matrix Methods in Artificial Intelligence and Machine Learning; Track of Architecture, Languages, Compilation and Hardware Support for Emerging ManYcore Systems; Track of Biomedical and Bioinformatics Challenges for Computer Science; Track of Computational Finance and Business Intelligence; Track of Computational Optimization, Modelling and Simulation; Track of Data, Modeling, and Computation in IoT and Smart Systems; Track of Data-Driven Computational Sciences; Track of Mathematical-Methods-and-Algorithms for Extreme Scale; Track of Multiscale Modelling and Simulation Part III: Track of Simulations of Flow and Transport: Modeling, Algorithms and Computation; Track of Solving Problems with Uncertainties; Track of Teaching Computational Science; Poster Papers

Introduction to Wavelet Transforms

Nirdosh Bhatnagar
Introduction to Wavelet Transforms Book PDF

Author : Nirdosh Bhatnagar
Publisher : CRC Press
Page : 268 pages
File Size : 45,6 Mb
Release : 2020-02-18
Category : Computers
ISBN : 9781000768695

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Introduction to Wavelet Transforms by Nirdosh Bhatnagar Pdf

The textbook, Introduction to Wavelet Transforms provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject. Features No prior knowledge of the subject is assumed. Sufficient mathematical background is provided to complete the discussion of different topics. Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique. Notation is generally introduced in the definitions. Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems. Examples are provided for clarity and to enhance reader's understanding of the subject. Each chapter also has a problem section. A majority of the problems are provided with sufficient hints. The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject. About the Author: Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year 2019. Nirdosh earned M.S. in Operations Research, and M.S. and Ph.D. in electrical engineering, all from Stanford University, Stanford, California. .

Wavelets and Filter Banks

Gilbert Strang,Truong Nguyen
Wavelets and Filter Banks Book PDF

Author : Gilbert Strang,Truong Nguyen
Publisher : SIAM
Page : 556 pages
File Size : 51,8 Mb
Release : 1996-10-01
Category : Technology & Engineering
ISBN : 0961408871

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Wavelets and Filter Banks by Gilbert Strang,Truong Nguyen Pdf

A comprehensive treatment of wavelets for both engineers and mathematicians.

Intelligent Robotics and Applications

Chun-Yi Su,Subhash Rakheja,Liu Honghai
Intelligent Robotics and Applications Book PDF

Author : Chun-Yi Su,Subhash Rakheja,Liu Honghai
Publisher : Springer
Page : 723 pages
File Size : 54,6 Mb
Release : 2012-09-28
Category : Computers
ISBN : 9783642335099

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Intelligent Robotics and Applications by Chun-Yi Su,Subhash Rakheja,Liu Honghai Pdf

The three volume set LNAI 7506, LNAI 7507 and LNAI 7508 constitutes the refereed proceedings of the 5th International Conference on Intelligent Robotics and Applications, ICIRA 2012, held in Montreal, Canada, in October 2012. The 197 revised full papers presented were thoroughly reviewed and selected from 271 submissions. They present the state-of-the-art developments in robotics, automation and mechatronics. This volume covers the topics of adaptive control systems; automotive systems; estimation and identification; intelligent visual systems; application of differential geometry in robotic mechanisms; unmanned systems technologies and applications; new development on health management, fault diagnosis, and fault-tolerant control; biomechatronics; intelligent control of mechanical and mechatronic systems.

Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Roe W Goodman
Discrete Fourier And Wavelet Transforms An Introduction Through Linear Algebra With Applications To Signal Processing Book PDF

Author : Roe W Goodman
Publisher : World Scientific Publishing Company
Page : 300 pages
File Size : 41,9 Mb
Release : 2016-01-21
Category : Mathematics
ISBN : 9789814725798

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Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing by Roe W Goodman Pdf

This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra, without assuming prior knowledge of signal processing or advanced analysis.It explains how to use the Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

Wavelets

Christian Blatter
Wavelets Book PDF

Author : Christian Blatter
Publisher : CRC Press
Page : 212 pages
File Size : 48,5 Mb
Release : 2018-10-08
Category : Mathematics
ISBN : 9781439863978

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Wavelets by Christian Blatter Pdf

The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid mathematical foundation for the broad range of applications enjoyed by the wavelet transform. Numerous illustrations and fully worked out examples enhance the book.