Time-Frequency and Time-Scale Methods
(Sprache: Englisch)
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...
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Klappentext zu „Time-Frequency and Time-Scale Methods “
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.
Inhaltsverzeichnis zu „Time-Frequency and Time-Scale Methods “
- 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.
Bibliographische Angaben
- Autor: Jeffrey A. Hogan
- 2005, 390 Seiten, Masse: 16,4 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0817642765
- ISBN-13: 9780817642761
Sprache:
Englisch
Rezension zu „Time-Frequency and Time-Scale Methods “
"[The] book under review is written from a relatively novel perspective: its goal is to carefully and deeply study the similarities and differences between time-frequency and time-scale methods. Thus, one may view the present book as a continuation of the famous textbook of Ingrid Daubechies [Ten Lectures on Wavelets].... In my opinion, the two books nicely complement each other and both are a 'must have' for everyone who is interested in a deeper understanding of time-frequency and time-scale methods." -Zentralblatt MATH
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