Review
"... a definitive survey of the subject shows connections and interactions between theory, numerical algorithms, and applications." —Mathematical Reviews
Product Description
Gabor analysis plays an essential role in the understanding and use of time-frequency analysis methods in applied mathematics, electrical engineering, and the physical sciences.
:Gabor Analysis and Algorithms" is a definitive survey of the subject, written by leading researchers, and showing the connections and interactions between theory, numerical algorithms, and applications. This resource provides a thoroughly accessible overview of the different aspects of Gabor analysis.
The first part of this book is devoted to the mathematical foundations of Gabor analysis, including Weyl-Heisenberg frames, duality conditions, the uncertainty principle, and the Balian-Low Theorem as well as a group theoretical approach. The second part presents numerical algorithms and selected applications in signal and image processing.
Topics and Features: * Self-contaied introduction to the essentials of Gabor analysis * Many new and previously unpublished results * Efficient numerical algorithms * Gabor expansion in signal and image processing * Applications in pattern recognition, filter banks, and optics * Comprehensive bibliography for the subject
This book provides an essential introduction for applied mathematicians and engineers needing to learn more about Gabor analysis and its applications. It is an excellent text/reference resource for graduates and professionals in harmonic analysis, applied mathematics, numerical analysis, electrical engineering, and signal processing.