Time frequency and time-scale methods : adaptive decompositions, uncertainty principles, and sampling

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.   TOC: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.- A Appendix.- References.- Index

Angaben zum Objekt

• Standort: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 0817642765
• Maße: 25 cm
• Umfang: XX, 388 S.
• Sprache: Englisch
• Anmerkungen: graph. Darst. ; Literaturverz. S. 367 - 384

Klassifikation und Themen

• Schlagwort: Zeit-Frequenz-Analyse ; Wavelet-Analyse

Beteiligte, Orts- und Zeitangaben

• Ereignis: Veröffentlichung
• (wo): Boston, Mass., Basel, Berlin
• (wer): Birkhäuser
• (wann): c 2005
• Urheber: Hogan, Jeffrey A. ; Lakey, Joseph D.

Weitere Informationen

• Inhaltsverzeichnis: https://d-nb.info/97332810X/04
• Rechteinformation: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Letzte Aktualisierung: 11.06.2025, 13:31 MESZ