Time—Frequency and Time—Scale Methods
Adaptive Decompositions, Uncertainty Principles, and Sampling
Seiten
2004
|
2005 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4276-1 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4276-1 (ISBN)
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.
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.
Reihe/Serie | Applied and Numerical Harmonic Analysis |
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Zusatzinfo | XXII, 390 p. |
Verlagsort | Secaucus |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
ISBN-10 | 0-8176-4276-5 / 0817642765 |
ISBN-13 | 978-0-8176-4276-1 / 9780817642761 |
Zustand | Neuware |
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