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Wavelets And Multi Resolution Analysis


Wavelets And Multi Resolution Analysis
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From Fourier Analysis To Wavelets


From Fourier Analysis To Wavelets
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Author : Jonas Gomes
language : en
Publisher: Springer
Release Date : 2015-09-15

From Fourier Analysis To Wavelets written by Jonas Gomes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-15 with Mathematics categories.


This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation, and its importance to function discretization and to the construction of wavelets is also discussed. Emphasis is given on ideas and intuition, avoiding the heavy computations which are usually involved in the study of wavelets. Readers should have a basic knowledge of linear algebra, calculus, and some familiarity with complex analysis. Basic knowledge of signal and image processing is desirable. This text originated from a set of notes in Portuguese that the authors wrote for a wavelet course on the Brazilian Mathematical Colloquium in 1997 at IMPA, Rio de Janeiro.



Wavelets And Multi Resolution Analysis


Wavelets And Multi Resolution Analysis
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Author : M S Sinith
language : en
Publisher: Springer Nature
Release Date : 2025-08-29

Wavelets And Multi Resolution Analysis written by M S Sinith and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-29 with Technology & Engineering categories.


This book provides a comprehensive overview of wavelets starting from the fundamentals of signal analysis using wavelets, to cutting edge technologies like optimum wavelet design for specific applications. To introduce different concepts the authors have used narrative and real world examples with illustrative drawings that enable the reader to visualise the concepts. The book features a mathematical tool for analysing signals with variable resolution in the time and frequency domain. The authors have used simple, innovative and illustrative methods and examples for explaining different concepts. The Matlab programs, included in each chapter, help to give insights into various engineering problems in signal processing. This book can be used by practicing researchers, engineers, and undergraduate or postgraduate level students for computer science and allied courses.



Data Driven Science And Engineering


Data Driven Science And Engineering
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Author : Steven L. Brunton
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-05

Data Driven Science And Engineering written by Steven L. Brunton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Computers categories.


A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.



Ten Lectures On Wavelets


Ten Lectures On Wavelets
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Author : Ingrid Daubechies
language : en
Publisher: SIAM
Release Date : 1992-01-01

Ten Lectures On Wavelets written by Ingrid Daubechies and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-01 with Science categories.


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 In Soft Computing


Wavelets In Soft Computing
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Author : Marc Thuillard
language : en
Publisher: World Scientific
Release Date : 2001

Wavelets In Soft Computing written by Marc Thuillard and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Computers categories.


This book presents the state of integration of wavelet theory and multiresolution analysis into soft computing. It is the first book on hybrid methods combining wavelet analysis with fuzzy logic, neural networks or genetic algorithms. Much attention is given to new approaches (fuzzy-wavelet) that permit one to develop, using wavelet techniques, linguistically interpretable fuzzy systems from data. The book also introduces the reader to wavelet-based genetic algorithms and multiresolution search. A special place is given to methods that have been implemented in real world applications, particularly the different techniques combining fuzzy logic or neural networks with wavelet theory.



Applications Of Wavelet Multiresolution Analysis


Applications Of Wavelet Multiresolution Analysis
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Author : Juan Pablo Muszkats
language : en
Publisher: Springer Nature
Release Date : 2021-03-10

Applications Of Wavelet Multiresolution Analysis written by Juan Pablo Muszkats and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.


This work results from a selection of the contributions presented in the mini symposium “Applications of Multiresolution Analysis with “Wavelets”, presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019. The presented developments and applications cover different areas, including filtering, signal analysis for damage detection, time series analysis, solutions to boundary value problems and fractional calculus. This bunch of examples highlights the importance of multiresolution analysis to face problems in several and varied disciplines. The book is addressed to researchers in the field.



Wavelet Transforms And Their Applications


Wavelet Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2002

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 2002 with Mathematics 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.



Wavelet Analysis And Multiresolution Methods


Wavelet Analysis And Multiresolution Methods
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Author : Tian-Xiao He
language : en
Publisher: CRC Press
Release Date : 2000-05-05

Wavelet Analysis And Multiresolution Methods written by Tian-Xiao He and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-05 with Mathematics categories.


This volume contains papers selected from the Wavelet Analysis and Multiresolution Methods Session of the AMS meeting held at the University of Illinois at Urbana-Champaign. The contributions cover: construction, analysis, computation and application of multiwavelets; scaling vectors; nonhomogenous refinement; mulivariate orthogonal and biorthogona



An Introduction To Wavelets


An Introduction To Wavelets
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Author : Charles K. Chui
language : en
Publisher: Elsevier
Release Date : 2016-06-03

An Introduction To Wavelets written by Charles K. Chui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Science categories.


Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on "wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.



Wavelets


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.