Time-frequency and time-scale methods adaptive decompositions, uncertainty principles, and sampling
Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the fo...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Boston, Basel, Berlin
Birkhäuser
2005
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| Schriftenreihe: | Applied and numerical harmonic analysis
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| Online Zugang: | Inhaltsverzeichnis Verlagsangaben Cover Inhaltstext |
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| Zusammenfassung: | Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of developments in time-frequency and time-scale analysis are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. TOC:Preface.- Wavelets: Basic properties, parametrizations and sampling.- Derivatives and multiwavelets.- Sampling in Fourier and wavelet analysis.- Bases for time-frequency analysis.- Fourier uncertainty principles.- Function spaces and operator theory.- Uncertainty principles in mathematical physics.- A Appendix.- References.- Index |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XX, 388 S. graph. Darst. 25 cm |
| ISBN: | 3764342765 3-7643-4276-5 9780817642761 978-0-8176-4276-1 0817642765 0-8176-4276-5 |