Wavelet Theory And Its Applications
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Wavelet Theory And Its Applications
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Author : Randy K. Young
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wavelet Theory And Its Applications written by Randy K. Young 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 2012-12-06 with Technology & Engineering categories.
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 Theory And Its Applications
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Author : Sudhakar Radhakrishnan
language : en
Publisher: BoD – Books on Demand
Release Date : 2018-10-03
Wavelet Theory And Its Applications written by Sudhakar Radhakrishnan 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 2018-10-03 with Computers categories.
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.
Wavelets Theory And Its Applications
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Author : Mani Mehra
language : en
Publisher: Springer
Release Date : 2018-11-03
Wavelets Theory And Its Applications written by Mani Mehra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Mathematics categories.
This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.
Wavelet Theory And Its Application To Pattern Recognition
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Author : Yuan Y. Tang
language : en
Publisher: World Scientific
Release Date : 2000
Wavelet Theory And Its Application To Pattern Recognition written by Yuan Y. Tang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
This is not a purely mathematical book. It presents the basic principle of wavelet theory to electrical and electronic engineers, computer scientists, and students, as well as the ideas of how wavelets can be applied to pattern recognition. It also contains many novel research results from the authors'' research team.
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.
Advances In Wavelet Theory And Their Applications In Engineering Physics And Technology
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Author : Dumitru Baleanu
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-04-04
Advances In Wavelet Theory And Their Applications In Engineering Physics And Technology written by Dumitru Baleanu 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 2012-04-04 with Computers categories.
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.
Wavelet Theory And Its Applications
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Author : P. R. Ziman
language : en
Publisher:
Release Date : 1994
Wavelet Theory And Its Applications written by P. R. Ziman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Wavelet Analysis And Its Applications
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Author : Yuan Y. Tang
language : en
Publisher: Springer
Release Date : 2003-06-30
Wavelet Analysis And Its Applications written by Yuan Y. Tang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.
This book constitutes the refereed proceedings of the Second International Conference on Wavelet Analysis and Its Applications, WAA 2001, held in Hong Kong, China in December 2001. The 24 revised full papers and 27 revised short papers presented were carefully reviewed and selected from a total of 67 full paper submissions. The book offers topical sections on image compression and coding, video coding and processing, theory, image processing, signal processing, and systems and applications.
The Theory Of Fault Travel Waves And Its Application
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Author : Xinzhou Dong
language : en
Publisher: Springer Nature
Release Date : 2022-03-19
The Theory Of Fault Travel Waves And Its Application written by Xinzhou Dong and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-19 with Technology & Engineering categories.
The book starts from the existed problems in fault analysis of the lumped-parameter circuit model. It firstly introduces the basic electromagnetic phenomenon, uniform transmission line guided electromagnetic waves, multi-conductor system guided electromagnetic waves, fault generated travelling waves; then it introduces series of the traveling waves based protections, which includes principle, technology and application in practical power grid; it also discusses the travelling waves based fault location and the travelling waves based fault feeder selector in China. It systemically reveals the essential features of the fault traveling wave and concludes the analytical solutions of the transient fault traveling waves and the modulus maxima representation of the dyadic wavelet transform of fault traveling waves. Finally, the book analyzes the acquisition of traveling waves and the sensor’s characteristics. A unique fault travelling wave test device has been invented based on the theories of the book and will be applied in real systems.
Wavelet Numerical Method And Its Applications In Nonlinear Problems
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Author : You-He Zhou
language : en
Publisher: Springer Nature
Release Date : 2021-03-09
Wavelet Numerical Method And Its Applications In Nonlinear Problems written by You-He Zhou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Technology & Engineering categories.
This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.