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 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.

• | Author: Jeffrey A. Hogan
• | Publisher: Birkhauser
• | Publication Date: Dec 17, 2004
• | Number of Pages: 390 pages
• | Binding: Hardback or Cased Book
• | ISBN-10: 0817642765
• | ISBN-13: 9780817642761