Applied and Numerical Harmonic Analysis: Adaptive Decompositions, Uncertainty Principles, and Sampling

Hogan, Jeffrey A.

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.

Details

Published by: Birkhäuser

Publication Date: 2004-12-17

Format: Hardcover

ISBN-13: 9780817642761

DOI: 10.1007/b139077

Dimensions: 235cm x155cm

Pages: 390