Wavelet Analysis On Local Fields Of Positive Characteristic
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Wavelet Analysis On Local Fields Of Positive Characteristic
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Author : Biswaranjan Behera
language : en
Publisher: Springer Nature
Release Date : 2022-01-01
Wavelet Analysis On Local Fields Of Positive Characteristic written by Biswaranjan Behera and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-01 with Mathematics categories.
This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and describes their Haar measures. The book focuses on multiresolution analysis and wavelets on a local field of positive characteristic. It provides characterizations of various functions associated with wavelet analysis such as scaling functions, wavelets, MRA-wavelets and low-pass filters. Many other concepts which are discussed in details are biorthogonal wavelets, wavelet packets, affine and quasi-affine frames, MSF multiwavelets, multiwavelet sets, generalized scaling sets, scaling sets, unconditional basis properties of wavelets and shift invariant spaces.
Wavelet Packets And Their Statistical Applications
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Author : Khalil Ahmad
language : en
Publisher: Springer
Release Date : 2018-06-21
Wavelet Packets And Their Statistical Applications written by Khalil Ahmad and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-21 with Mathematics categories.
This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.
Wavelet Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: Springer
Release Date : 2014-11-25
Wavelet Transforms And Their Applications written by Lokenath Debnath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-25 with Technology & Engineering categories.
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.
Lecture Notes On Wavelet Transforms
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Author : Lokenath Debnath
language : en
Publisher: Birkhäuser
Release Date : 2017-09-05
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 2017-09-05 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.
Diagnosis Monitoring And Treatment Of Heart Rhythm New Insights And Novel Computational Methods
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Author : Jieyun Bai
language : en
Publisher: Frontiers Media SA
Release Date : 2023-09-13
Diagnosis Monitoring And Treatment Of Heart Rhythm New Insights And Novel Computational Methods written by Jieyun Bai and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-13 with Science categories.
Construction Of Wavelets Through Walsh Functions
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Author : Yu. A. Farkov
language : en
Publisher: Springer
Release Date : 2019-04-29
Construction Of Wavelets Through Walsh Functions written by Yu. A. Farkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-29 with Mathematics categories.
This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh–Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar system, Haar–Vilenkin system, Walsh system, wavelet system and frame system, as well as updated results on the book’s main theme. Based on lectures that the authors presented at several international conferences, the notions and concepts introduced in this interdisciplinary book can be applied to any situation where wavelets and their variants are used. Most of the applications of wavelet analysis and Walsh analysis can be tried for newly constructed wavelets. Given its breadth of coverage, the book offers a valuable resource for theoreticians and those applying mathematics in diverse areas. It is especially intended for graduate students of mathematics and engineering and researchers interested in applied analysis.
Algebra Analysis And Associated Topics
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Author : Sandeep Singh
language : en
Publisher: Springer Nature
Release Date : 2023-01-16
Algebra Analysis And Associated Topics written by Sandeep Singh and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-16 with Mathematics categories.
The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. Specific topics covered include maximal rotational hypersurfaces, k-Horadam sequences, quantum dynamical semigroups, and more. Additionally, several applications of algebraic number theory and analysis are presented. Algebra, Analysis, and Associated Topics will appeal to researchers, graduate students, and engineers interested in learning more about the impact pure mathematics has on various fields.
Ultrametric Pseudodifferential Equations And Applications
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Author : Andreĭ I︠U︡rʹevich Khrennikov
language : en
Publisher: Cambridge University Press
Release Date : 2018-04-26
Ultrametric Pseudodifferential Equations And Applications written by Andreĭ I︠U︡rʹevich Khrennikov 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 2018-04-26 with Mathematics categories.
Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.
Proceedings Of The Fourth Euro China Conference On Intelligent Data Analysis And Applications
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Author : Pavel Krömer
language : en
Publisher: Springer
Release Date : 2017-09-23
Proceedings Of The Fourth Euro China Conference On Intelligent Data Analysis And Applications written by Pavel Krömer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-23 with Technology & Engineering categories.
This book highlights recent advances in intelligent data analysis, computational intelligence, signal processing, and all associated applications of artificial intelligence. It gathers papers presented at the ECC 2017, the Fourth Euro-China Conference on Intelligent Data Analysis and Applications. The aim of the ECC was to provide an internationally respected forum for scientific research in the broad areas of intelligent data analysis, computational intelligence, signal processing, and all associated applications of artificial intelligence (AI). The fourth installment of the ECC was jointly organized by the University of Málaga, Spain; the VŠB - Technical University of Ostrava, Czech Republic; and Fujian University of Technology, Fuzhou, China. The conference took place in Málaga, Spain on October 9–11, 2017.
Computer And Computing Technologies In Agriculture Ix
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Author : Daoliang Li
language : en
Publisher: Springer
Release Date : 2016-11-11
Computer And Computing Technologies In Agriculture Ix written by Daoliang Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-11 with Computers categories.
The two volumes IFIP AICT 478 and 479 constitute the refereed post-conference proceedings of the 9th IFIP WG 5.14 International Conference on Computer and Computing Technologies in Agriculture, CCTA 2015, held in Beijing, China, in September 2015. The 122 revised papers included in this volume were carefully selected from 237 submissions. They cover a wide range of interesting theories and applications of information technology in agriculture, including intelligent sensing, monitoring and automatic control technology; key technology and models of the Internet of things; intelligent technology for agricultural equipment; computer vision; computer graphics and virtual reality; computer simulation, optimization and modeling; cloud computing and agricultural applications; agricultural big data; decision support systems and expert systems; 3s technology and precision agriculture; quality and safety of agricultural products; detection and tracing technology; and agricultural electronic commerce technology.