Time-frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling
著者
書誌事項
Time-frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling
（Applied and numerical harmonic analysis / series editor, John J. Benedetto）
Birkhäuser, c2005
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注記
Includes bibliographical references (p. [367]-384) and index
内容説明・目次
内容説明
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 these areas 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. "Foundations of Time-Frequency and Time-Scale Methods" will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.
目次
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
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