Wavelets

Author: Laura Montefusco
Publisher: Elsevier
ISBN: 0080520847
Format: PDF, Mobi
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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

Fundamentals of Wavelets

Author: Jaideva C. Goswami
Publisher: John Wiley & Sons
ISBN: 9780470934647
Format: PDF, Kindle
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Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems

Wavelet Analysis and Applications

Author: Tao Qian
Publisher: Springer Science & Business Media
ISBN: 376437778X
Format: PDF, ePub, Docs
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This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.

Wavelet Theory and Its Applications

Author: Randy K. Young
Publisher: Springer Science & Business Media
ISBN: 1461535840
Format: PDF, ePub
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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.

Wavelet Transforms and Their Applications

Author: Lokenath Debnath
Publisher: Springer
ISBN: 0817684182
Format: PDF, ePub
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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.

Wavelets

Author: T. H. Koornwinder
Publisher: World Scientific
ISBN: 9789810224868
Format: PDF, ePub, Docs
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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.

Wavelets in Chemistry

Author: Beata Walczak
Publisher: Elsevier
ISBN: 9780080543741
Format: PDF, Docs
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Wavelets seem to be the most efficient tool in signal denoising and compression. They can be used in an unlimited number of applications in all fields of chemistry where the instrumental signals are the source of information about the studied chemical systems or phenomena, and in all cases where these signals have to be archived. The quality of the instrumental signals determines the quality of answer to the basic analytical questions: how many components are in the studied systems, what are these components like and what are their concentrations? Efficient compression of the signal sets can drastically speed up further processing such as data visualization, modelling (calibration and pattern recognition) and library search. Exploration of the possible applications of wavelets in analytical chemistry has just started and this book will significantly speed up the process. The first part, concentrating on theoretical aspects, is written in a tutorial-like manner, with simple numerical examples. For the reader's convenience, all basic terms are explained in detail and all unique properties of wavelets are pinpointed and compared with the other types of basis function. The second part presents applications of wavelets from many branches of chemistry which will stimulate chemists to further exploration of this exciting subject.

Wavelet Analysis and Its Applications

Author: Jian Ping Li
Publisher: World Scientific
ISBN: 9812383425
Format: PDF, Docs
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This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities -- both current and future -- in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers. Readership: Graduate students, academics and researchers in computer science and engineering.

Wavelet Analysis and Its Applications

Author: Jian Ping Li
Publisher: World Scientific
ISBN: 9814486205
Format: PDF, ePub, Mobi
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This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities — both current and future — in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers. Contents: Volume 1: Accelerating Convergence of Monte Carlo Simulations and Measuring Weak Biosignals Using Wavelet Threshold Denoising (M V Wickerhauser)One of Image Compression Methods Based on Biorthogonal Wavelet Transform and LBG Algorithm (J Lin et al.)A Video Watermarking Algorithm Using Fast Wavelet (J Zhang et al.)Structural and Geometric Characteristics of Sets of Convergence and Divergence of Multiple Fourier Series of Functions which Equal Zero on Some Set (I L Bloshanskii)Sequence Images Data Fusion Based on Wavelet Transform Approach (H Tao et al.)Radar Detection of Minimum Altitude Flying Targets Based on Wavelet Transforms (H Li et al.)Precursors of Engine Failures Revealed by Wavelet Analysis (I M Dremin) Volume 2: Demodulation by Complex-Valued Wavelets for Stochastic Pattern Recognition: How Iris Recognition Works (J Daugman)Wavelets and Image Compression (V A Nechitailo)Fast Wavelet-Based Video Codec and its Application in an IP Version 6-Ready Serverless Videoconferencing (H L Cycon et al.)On a Class of Optimal Wavelets (N A Strelkov & V L Dol'nikov)A Wavelet-Based Digital Watermarking Algorithm (H Q Sun et al.)Research of the Gyro Signal De-Noising Method Based on Stationary Wavelets Transform (J Guo et al.)Adaptive De-Noising of Low SNR Signals (D Isar & A Isar) Analysis of the DLA-Process with Gravitational Interaction of Particles and Growing Cluster (A Loskutov et al.) and other papers Readership: Graduate students, academics and researchers in computer science and engineering.Keywords:Image Processing;Coding;Signal Processing;Video Coding;Image Compression;Wavelet Analysis

Real Analysis with an Introduction to Wavelets and Applications

Author: Don Hong
Publisher: Elsevier
ISBN: 9780080540313
Format: PDF, ePub
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Real Analysis with an Introduction to Wavelets and Applications is an in-depth look at real analysis and its applications, including an introduction to wavelet analysis, a popular topic in "applied real analysis". This text makes a very natural connection between the classic pure analysis and the applied topics, including measure theory, Lebesgue Integral, harmonic analysis and wavelet theory with many associated applications. The text is relatively elementary at the start, but the level of difficulty steadily increases The book contains many clear, detailed examples, case studies and exercises Many real world applications relating to measure theory and pure analysis Introduction to wavelet analysis