Hogan Time?Frequency and Time?Scale Methods

Adaptive Decompositions, Uncertainty Principles, and Sampling
1. Auflage 2007
ISBN: 978-0-8176-4431-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 390 Seiten, eBook

Reihe: Applied and Numerical Harmonic Analysis

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.

Zielgruppe

Research

Autoren/Hrsg.

Hogan, Jeffrey A.

Inhaltsverzeichnis

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.