Title:
Time--frequency and time--scale methods : adaptive decompositions, uncertainty principles, and sampling
Personal Author:
Series:
Applied and numerical harmonic analysis
Publication Information:
Boston, MA : Birkhauser, 2005
ISBN:
9780817642761
Subject Term:
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000004732677 | TK5102.9 H63 2005 | Open Access Book | Book | Searching... |
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Summary
Summary
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.
Table of Contents
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 |
Appendix |
References |
Index |