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 Content
Wavelets: Basic properties, parameterizations 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.
Language English ● Format PDF ● Pages 390 ● ISBN 9780817644314 ● File size 19.4 MB ● Publisher Birkhäuser Boston ● City MA ● Country US ● Published 2007 ● Downloadable 24 months ● Currency EUR ● ID 2146708 ● Copy protection Social DRM