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Time—Frequency and Time—Scale Methods

Adaptive Decompositions, Uncertainty Principles, and Sampling

Jeffrey A. Hogan (Autor)

Buch | Hardcover

390 Seiten

2004
Birkhauser Boston Inc (Verlag)
978-0-8176-4276-1 (ISBN)

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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
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