Modern Applications Of Wavelet Transform

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Modern Applications Of Wavelet Transform

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Author : Srinivasan Ramakrishnan
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-02-07

Modern Applications Of Wavelet Transform written by Srinivasan Ramakrishnan and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-07 with Mathematics categories.

This book explores the use of wavelet transforms in signal processing, including image, finance, and communication systems. It covers five contemporary applications, including the interaction between inertial sensors and wavelet filtering techniques, geophysical prospecting, volatility patterns in asset returns, computerized tomography (CT), and fault detection techniques. The book provides a foundation for further exploration, focusing on wavelet transformations' basic principles, their application in geophysical prospecting, and their use in identifying volatility patterns in asset returns. The book is intended for students, researchers, and professionals interested in understanding wavelet transforms and their practical implementations.

Wavelet Transforms And Their Applications

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Author : Lokenath Debnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28

Wavelet Transforms And Their Applications written by Lokenath Debnath and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Technology & Engineering categories.

Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines, and improvement in CAT scans and other medical image technology. Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms, called the fundamental building blocks, at different positions and scales and subsequently reconstructed with high precision.

Multirate And Wavelet Signal Processing

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Author : Bruce W. Suter
language : en
Publisher: Elsevier
Release Date : 1997-12-10

Multirate And Wavelet Signal Processing written by Bruce W. Suter and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-10 with Technology & Engineering categories.

This innovative and in-depth book integrates the well-developed theory and practical applications of one dimensional and multidimensional multirate signal processing. Using a rigorous mathematical framework, it carefully examines the fundamentals of this rapidly growing field. Areas covered include: basic building blocks of multirate signal processing; fundamentals of multidimensional multirate signal processing; multirate filter banks; lossless lattice structures; introduction to wavelet signal processing. Multirate and Wavelet Signal Processing forms the basis for a graduate course in multirate signal processing. It includes an introduction to wavelet signal processing and emphasizes topics of ever-increasing importance for a wide range of applications. Concise and easy-to-read, this book is also a useful primer for professional engineers. - Integrates the well-developed theory and practical applications of one-dimensional and multidimensional multirate signal processing - Emphasizes topics of ever-increasing importance for a wide range of applications - Written in a concise, easy-to-read style - Uses relevant examples - General mathematical formulation permits extensions of concepts to diverse applications, such as speech, imaging, video, and synthetic aperture radar - Emphasizes key topics of the field, allowing the reader to make the most efficient use of time in learning the fundamentals of multirate - Designed to be completely covered in a single semester or quarter

Discrete Wavelet Transforms

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Author : Juuso T. Olkkonen
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-04-04

Discrete Wavelet Transforms written by Juuso T. Olkkonen and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-04 with Computers categories.

Discrete wavelet transform (DWT) algorithms have become standard tools for discrete-time signal and image processing in several areas in research and industry. As DWT provides both frequency and location information of the analyzed signal, it is constantly used to solve and treat more and more advanced problems. The present book: Discrete Wavelet Transforms: Theory and Applications describes the latest progress in DWT analysis in non-stationary signal processing, multi-scale image enhancement as well as in biomedical and industrial applications. Each book chapter is a separate entity providing examples both the theory and applications. The book comprises of tutorial and advanced material. It is intended to be a reference text for graduate students and researchers to obtain in-depth knowledge in specific applications.

Electrostatics Fundamentals And Modern Applications

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Author : Dengming Xiao
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-04-30

Electrostatics Fundamentals And Modern Applications written by Dengming Xiao and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Science categories.

Electrostatics - Fundamentals and Modern Applications is a comprehensive and in-depth academic work designed to provide readers with both the theoretical foundations and cutting-edge applications of electrostatics. This book places a strong emphasis on the modern applications of electrostatics, covering cutting-edge fields such as nanotechnology, micro-electro-mechanical systems (MEMS), energy harvesting, and biomedical engineering. Through rich case studies and practical examples, it demonstrates the critical role of electrostatics in driving technological innovation. Authored by a team of renowned experts in the field, this book combines academic rigor with practical relevance, making it an essential resource for undergraduates, graduate students, researchers, and professionals in related disciplines. Whether readers aim to solidify their theoretical understanding or explore the latest applications of electrostatics in engineering and technology, this book serves as an indispensable reference. Published through IntechOpen's open-access model, Electrostatics - Fundamentals and Modern Applications shares the knowledge of electrostatics with a global audience, fostering the dissemination of scientific knowledge and innovation. Step into the world of electrostatics and uncover the mysteries and limitless possibilities of electric charges.

Wavelets Made Easy

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Author : Yves Nievergelt
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-09

Wavelets Made Easy written by Yves Nievergelt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-09 with Mathematics categories.

Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets. Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas. The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra. The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets. Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.

A Friendly Guide To Wavelets

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Author : Gerald Kaiser
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-03

A Friendly Guide To Wavelets written by Gerald Kaiser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-03 with Mathematics categories.

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.

Wavelets

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Author : Charles K. Chui
language : en
Publisher: SIAM
Release Date : 1997-01-01

Wavelets written by Charles K. Chui and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.

Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.

Lecture Notes On Wavelet Transforms

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Author : Lokenath Debnath
language : en
Publisher: Birkhäuser
Release Date : 2017-09-20

Lecture Notes On Wavelet Transforms written by Lokenath Debnath and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-20 with Mathematics categories.

This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. It also develops the required analytical knowledge and skills on the part of the reader, rather than focus on the importance of more abstract formulation with full mathematical rigor. These notes differs from many textbooks with similar titles in that a major emphasis is placed on the thorough development of the underlying theory before introducing applications and modern topics such as fractional Fourier transforms, windowed canonical transforms, fractional wavelet transforms, fast wavelet transforms, spline wavelets, Daubechies wavelets, harmonic wavelets and non-uniform wavelets. The selection, arrangement, and presentation of the material in these lecture notes have carefully been made based on the authors’ teaching, research and professional experience. Drafts of these lecture notes have been used successfully by the authors in their own courses on wavelet transforms and their applications at the University of Texas Pan-American and the University of Kashmir in India.

Hilbert Spaces Wavelets Generalised Functions And Modern Quantum Mechanics

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Author : W.-H. Steeb
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-07

Hilbert Spaces Wavelets Generalised Functions And Modern Quantum Mechanics written by W.-H. Steeb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.

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.