Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /

I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub­ ject popular (Meyer's book is one of the early works written with the non­ specialist in mind), the implication seems to be that such an attempt some­ how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for­ mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.

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Main Authors: Ogden, R. Todd. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1997
Subjects:Engineering., Approximation theory., Applied mathematics., Engineering mathematics., Appl.Mathematics/Computational Methods of Engineering., Signal, Image and Speech Processing., Approximations and Expansions., Applications of Mathematics.,
Online Access:http://dx.doi.org/10.1007/978-1-4612-0709-2
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record_format koha
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Engineering.
Approximation theory.
Applied mathematics.
Engineering mathematics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Signal, Image and Speech Processing.
Approximations and Expansions.
Applications of Mathematics.
Engineering.
Approximation theory.
Applied mathematics.
Engineering mathematics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Signal, Image and Speech Processing.
Approximations and Expansions.
Applications of Mathematics.
spellingShingle Engineering.
Approximation theory.
Applied mathematics.
Engineering mathematics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Signal, Image and Speech Processing.
Approximations and Expansions.
Applications of Mathematics.
Engineering.
Approximation theory.
Applied mathematics.
Engineering mathematics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Signal, Image and Speech Processing.
Approximations and Expansions.
Applications of Mathematics.
Ogden, R. Todd. author.
SpringerLink (Online service)
Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
description I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub­ ject popular (Meyer's book is one of the early works written with the non­ specialist in mind), the implication seems to be that such an attempt some­ how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for­ mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.
format Texto
topic_facet Engineering.
Approximation theory.
Applied mathematics.
Engineering mathematics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Signal, Image and Speech Processing.
Approximations and Expansions.
Applications of Mathematics.
author Ogden, R. Todd. author.
SpringerLink (Online service)
author_facet Ogden, R. Todd. author.
SpringerLink (Online service)
author_sort Ogden, R. Todd. author.
title Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
title_short Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
title_full Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
title_fullStr Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
title_full_unstemmed Essential Wavelets for Statistical Applications and Data Analysis [electronic resource] /
title_sort essential wavelets for statistical applications and data analysis [electronic resource] /
publisher Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,
publishDate 1997
url http://dx.doi.org/10.1007/978-1-4612-0709-2
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spelling KOHA-OAI-TEST:1838152018-07-30T23:05:14ZEssential Wavelets for Statistical Applications and Data Analysis [electronic resource] / Ogden, R. Todd. author. SpringerLink (Online service) textBoston, MA : Birkhäuser Boston : Imprint: Birkhäuser,1997.engI once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub­ ject popular (Meyer's book is one of the early works written with the non­ specialist in mind), the implication seems to be that such an attempt some­ how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for­ mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.1 Wavelets: A Brief Introduction -- 1.1 The Discrete Fourier Transform -- 1.2 The Haar System -- Multiresolution Analysis -- The Wavelet Representation -- Goals of Multiresolution Analysis -- 1.3 Smoother Wavelet Bases -- 2 Basic Smoothing Techniques -- 2.1 Density Estimation -- Histograms -- Kernel Estimation -- Orthogonal Series Estimation -- 2.2 Estimation of a Regression Function -- Kernel Regression -- Orthogonal Series Estimation -- 2.3 Kernel Representation of Orthogonal Series Estimators -- 3 Elementary Statistical Applications -- 3.1 Density Estimation -- Haar-Based Histograms -- Estimation with Smoother Wavelets -- 3.2 Nonparametric Regression -- 4 Wavelet Features and Examples -- 4.1 Wavelet Decomposition and Reconstruction -- Two-Scale Relationships -- The Decomposition Algorithm -- The Reconstruction Algorithm -- 4.2 The Filter Representation -- 4.3 Time-Frequency Localization -- The Continuous Fourier Transform -- The Windowed Fourier Transform -- The Continuous Wavelet Transform -- 4.4 Examples of Wavelets and Their Constructions -- Orthogonal Wavelets -- Biorthogonal Wavelets -- Semiorthogonal Wavelets -- 5 Wavelet-based Diagnostics -- 5.1 Multiresolution Plots -- 5.2 Time-Scale Plots -- 5.3 Plotting Wavelet Coefficients -- 5.4 Other Plots for Data Analysis -- 6 Some Practical Issues -- 6.1 The Discrete Fourier Transform of Data -- The Fourier Transform of Sampled Signals -- The Fast Fourier Transform -- 6.2 The Wavelet Transform of Data -- 6.3 Wavelets on an Interval -- Periodic Boundary Handling -- Symmetric and Antisymmetric Boundary Handling -- Meyer Boundary Wavelets -- Orthogonal Wavelets on the Interval -- 6.4 When the Sample Size is Not a Power of Two -- 7 Other Applications -- 7.1 Selective Wavelet Reconstruction -- Wavelet Thresholding -- Spatial Adaptivity -- Global Thresholding -- Estimation of the Noise Level -- 7.2 More Density Estimation -- 7.3 Spectral Density Estimation -- 7.4 Detections of Jumps and Cusps -- 8 Data Adaptive Wavelet Thresholding -- 8.1 SURE Thresholding -- 8.2 Threshold Selection by Hypothesis Testing -- Recursive Testing -- Minimizing False Discovery -- 8.3 Cross-Validation Methods -- 8.4 Bayesian Methods -- 9 Generalizations and Extensions -- 9.1 Two-Dimensional Wavelets -- 9.2 Wavelet Packets -- Wavelet Packet Functions -- The Best Basis Algorithm -- 9.3 Translation Invariant Wavelet Smoothing -- References -- Glossary of Notation -- Glossary of Terms.I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub­ ject popular (Meyer's book is one of the early works written with the non­ specialist in mind), the implication seems to be that such an attempt some­ how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for­ mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.Engineering.Approximation theory.Applied mathematics.Engineering mathematics.Engineering.Appl.Mathematics/Computational Methods of Engineering.Signal, Image and Speech Processing.Approximations and Expansions.Applications of Mathematics.Springer eBookshttp://dx.doi.org/10.1007/978-1-4612-0709-2URN:ISBN:9781461207092