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Cover: 9781461268239 | Wavelets Made Easy | Yves Nievergelt | Taschenbuch | Paperback | xi
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Wavelets Made Easy
Taschenbuch von Yves Nievergelt
Sprache: Englisch

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Beschreibung
This book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the au­ dience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate level. It requires only a working knowledge or memories of a first course in linear algebra and calculus. The first part of the book answers the following two questions: What are wavelets? Wavelets extend Fourier analysis. How are wavelets computed? Fast transforms compute them. To show the practical significance of wavelets, the book also provides transitions into several applications: analysis (detection of crashes, edges, or other events), compression (reduction of storage), smoothing (attenuation of noise), and syn­ thesis (reconstruction after compression or other modification). Such applications include one-dimensional signals (sounds or other time-series), two-dimensional arrays (pictures or maps), and three-dimensional data (spatial diffusion). The ap­ plications demonstrated here do not constitute recipes for real implementations, but aim only at clarifying and strengthening the understanding of the mathematics of wavelets.
This book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the au­ dience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate level. It requires only a working knowledge or memories of a first course in linear algebra and calculus. The first part of the book answers the following two questions: What are wavelets? Wavelets extend Fourier analysis. How are wavelets computed? Fast transforms compute them. To show the practical significance of wavelets, the book also provides transitions into several applications: analysis (detection of crashes, edges, or other events), compression (reduction of storage), smoothing (attenuation of noise), and syn­ thesis (reconstruction after compression or other modification). Such applications include one-dimensional signals (sounds or other time-series), two-dimensional arrays (pictures or maps), and three-dimensional data (spatial diffusion). The ap­ plications demonstrated here do not constitute recipes for real implementations, but aim only at clarifying and strengthening the understanding of the mathematics of wavelets.
Inhaltsverzeichnis
A Algorithms for Wavelet Transforms.- 1 Haar's Simple Wavelets.- 2 Multidimensional Wavelets and Applications.- 3 Algorithms for Daubechies Wavelets.- B Basic Fourier Analysis.- 4 Inner Products and Orthogonal Projections.- 5 Discrete and Fast Fourier Transforms.- 6 Fourier Series for Periodic Functions.- C Computation and Design of Wavelets.- 7 Fourier Transforms on the Line and in Space.- 8 Daubechies Wavelets Design.- 9 Signal Representations with Wavelets.- D Directories.- Acknowledgments.- Collection of Symbols.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
297 S.
1 s/w Illustr.
297 p. 1 illus.
ISBN-13: 9781461268239
ISBN-10: 1461268230
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nievergelt, Yves
Auflage: Softcover reprint of the original 1st ed. 1999
Hersteller: Birkh„user Boston
Birkhäuser Boston
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Yves Nievergelt
Erscheinungsdatum: 26.02.2014
Gewicht: 0,476 kg
Artikel-ID: 105125230
Inhaltsverzeichnis
A Algorithms for Wavelet Transforms.- 1 Haar's Simple Wavelets.- 2 Multidimensional Wavelets and Applications.- 3 Algorithms for Daubechies Wavelets.- B Basic Fourier Analysis.- 4 Inner Products and Orthogonal Projections.- 5 Discrete and Fast Fourier Transforms.- 6 Fourier Series for Periodic Functions.- C Computation and Design of Wavelets.- 7 Fourier Transforms on the Line and in Space.- 8 Daubechies Wavelets Design.- 9 Signal Representations with Wavelets.- D Directories.- Acknowledgments.- Collection of Symbols.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xi
297 S.
1 s/w Illustr.
297 p. 1 illus.
ISBN-13: 9781461268239
ISBN-10: 1461268230
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Nievergelt, Yves
Auflage: Softcover reprint of the original 1st ed. 1999
Hersteller: Birkh„user Boston
Birkhäuser Boston
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 17 mm
Von/Mit: Yves Nievergelt
Erscheinungsdatum: 26.02.2014
Gewicht: 0,476 kg
Artikel-ID: 105125230
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