Time-Frequency and Time-Scale Methods Adaptive Decompositions, Uncertainty Principles, and Sampling /

• Main Authors: Hogan, Jeffrey A. (Author), Lakey, Joseph D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2005.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Harmonic analysis.; Fourier analysis.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Electrical engineering.; Abstract Harmonic Analysis.; Fourier Analysis.; Partial Differential Equations.; Signal, Image and Speech Processing.; Communications Engineering, Networks.; Applications of Mathematics.

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...

Table of Contents:

• 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.