Diverse Applications Of Wavelet Theory PDF Download
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| Author | : David K. Ruch |
| Publisher | : John Wiley & Sons |
| Total Pages | : 502 |
| Release | : 2011-09-15 |
| Genre | : Mathematics |
| ISBN | : 1118165667 |
Download Wavelet Theory Book in PDF, ePub and Kindle
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.
| Author | : Randy K. Young |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 233 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461535840 |
Download Wavelet Theory and Its Applications Book in PDF, ePub and Kindle
The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.
| Author | : Victor Nason |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2015-03-27 |
| Genre | : Wavelets (Mathematics) |
| ISBN | : 9781632401519 |
Download Diverse Applications of Wavelet Theory Book in PDF, ePub and Kindle
This book elaborates on Wavelet Theory and its applications in various fields. The application of wavelet transformation to examine the behavior of complex systems from several fields has begun to be widely identified and applied successfully during the past few decades. The book deals with three major aspects of Wavelet Transformation i.e. Electrical Systems, Fault Diagnosis and Monitoring, and Signal Processing. One of the important characteristics of this book is that the wavelet concepts that are applied in engineering, physics and technology have been discussed from a point of view that is recognizable to researchers from different branches of science and engineering. The text of the book is worth utility to a large number of readers.
| Author | : Sabrine Arfaoui |
| Publisher | : CRC Press |
| Total Pages | : 255 |
| Release | : 2021-04-20 |
| Genre | : Mathematics |
| ISBN | : 1000369544 |
Download Wavelet Analysis Book in PDF, ePub and Kindle
Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world phenomena and data needs (such as finance, medicine, engineering, transport, images, signals, etc.). Features: Offers a self-contained discussion of wavelet theory Suitable for a wide audience of post-graduate students, researchers, practitioners, and theorists Provides researchers with detailed proofs Provides guides for readers to help them understand and practice wavelet analysis in different areas
| Author | : Lokenath Debnath |
| Publisher | : Springer |
| Total Pages | : 562 |
| Release | : 2014-11-25 |
| Genre | : Technology & Engineering |
| ISBN | : 0817684182 |
Download Wavelet Transforms and Their Applications Book in PDF, ePub and Kindle
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.
| Author | : Sudhakar Radhakrishnan |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 270 |
| Release | : 2018-10-03 |
| Genre | : Computers |
| ISBN | : 1789234328 |
Download Wavelet Theory and Its Applications Book in PDF, ePub and Kindle
This book is intended to attract the attention of practitioners and researchers in the academia and industry interested in challenging paradigms of wavelets and its application with an emphasis on the recent technological developments. All the chapters are well demonstrated by various researchers around the world covering the field of mathematics and applied engineering. This book highlights the current research in the usage of wavelets in different areas such as biomedical analysis, fringe-pattern analysis, image applications, network data transfer applications, and optical measurement techniques. The entire work available in the book is mainly focusing on researchers who can do quality research in the area of the usage of wavelets in related fields. Each chapter is an independent research, which will definitely motivate the young researchers to ponder on. These 12 chapters available in four sections will be an eye opener for all who are doing systematic research in these fields.
| Author | : C. K. Chui |
| Publisher | : Academic Press |
| Total Pages | : 658 |
| Release | : 1994-11-18 |
| Genre | : Computers |
| ISBN | : 9780121745752 |
Download Wavelets Book in PDF, ePub and Kindle
Wavelets: Theory, Algorithms, and Applications is the fifth volume in the highly respected series, WAVELET ANALYSIS AND ITS APPLICATIONS. This volume shows why wavelet analysis has become a tool of choice infields ranging from image compression, to signal detection and analysis in electrical engineering and geophysics, to analysis of turbulent or intermittent processes. The 28 papers comprising this volume are organized into seven subject areas: multiresolution analysis, wavelet transforms, tools for time-frequency analysis, wavelets and fractals, numerical methods and algorithms, and applications. More than 135 figures supplement the text. Features theory, techniques, and applications Presents alternative theoretical approaches including multiresolution analysis, splines, minimum entropy, and fractal aspects Contributors cover a broad range of approaches and applications
| Author | : A.A. Petrosian |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 548 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 9401597154 |
Download Wavelets in Signal and Image Analysis Book in PDF, ePub and Kindle
Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis. Because of their powerful underlying mathematical theory, they offer exciting opportunities for the design of new multi-resolution processing algorithms and effective pattern recognition systems. This book provides a much-needed overview of current trends in the practical application of wavelet theory. It combines cutting edge research in the rapidly developing wavelet theory with ideas from practical signal and image analysis fields. Subjects dealt with include balanced discussions on wavelet theory and its specific application in diverse fields, ranging from data compression to seismic equipment. In addition, the book offers insights into recent advances in emerging topics such as double density DWT, multiscale Bayesian estimation, symmetry and locality in image representation, and image fusion. Audience: This volume will be of interest to graduate students and researchers whose work involves acoustics, speech, signal and image processing, approximations and expansions, Fourier analysis, and medical imaging.
| Author | : Dumitru Baleanu |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 650 |
| Release | : 2012-04-04 |
| Genre | : Computers |
| ISBN | : 9535104942 |
Download Advances in Wavelet Theory and Their Applications in Engineering, Physics and Technology Book in PDF, ePub and Kindle
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.
| Author | : T. H. Koornwinder |
| Publisher | : World Scientific |
| Total Pages | : 244 |
| Release | : 1993-01-01 |
| Genre | : Science |
| ISBN | : 9789810224868 |
Download Wavelets Book in PDF, ePub and Kindle
Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers. The emphasis in this volume, based on an intensive course on Wavelets given at CWI, Amsterdam, is on the affine case. The first part presents a concise introduction of the underlying theory to the uninitiated reader. The second part gives applications in various areas. Some of the contributions here are a fresh exposition of earlier work by others, while other papers contain new results by the authors. The areas are so diverse as seismic processing, quadrature formulae, and wavelet bases adapted to inhomogeneous cases.
