By: Hans G. Feichtinger (Editor), Thomas Strohmer (Editor)

Hardcover

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This text provides an introduction to mathematicians and engineers who want to learn about the different approaches and aspects of Gabor analysis or want to apply Gabor-based techniques to tasks in signal and image processing. It should be of interest to those working in the fields of harmonic analysis, applied mathematics, numerical analysis, engineering, signal and image processing, optics and pattern recognition. Features include: self-contained introduction to basic Gabor analysis; survey of fundamental results in Gabor theory; efficient numerical algorithms; Gabor expansions in signal and image processing; and applications in pattern recognition, filter bank design and optics.

"... a definitive survey of the subject shows connections and interactions between theory, numerical algorithms, and applications." -Mathematical Reviews

Foreword
Preface
Contributors
Introduction	p. 1
The duality condition for Weyl-Heisenberg frames	p. 33
Gabor systems and the Balian-Low Theorem	p. 85
A Banach space of test functions for Gabor analysis	p. 123
Pseudodifferential operators, Gabor frames, and local trigonometric bases	p. 171
Perturbation of frames and applications to Gabor frames	p. 193
Aspects of Gabor analysis on locally compact abelian groups	p. 211
Quantization of TF lattice-invariant operators on elementary LCA groups	p. 233
Numerical algorithms for discrete Gabor expansions	p. 267
Oversampled modulated filter banks	p. 295
Adaptation of Weyl-Heisenberg frames to underspread environments	p. 323
Gabor representation and signal detection	p. 353
Multi-window Gabor schemes in signal and image representations	p. 381
Gabor kernels for affine-invariant object recognition	p. 409
Gabor's signal expansion in optics	p. 427
Bibliography	p. 453
Index	p. 489
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780817639594
ISBN-10: 0817639594
Series: Applied and Numerical Harmonic Analysis
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 512
Published: 18th December 1997
Publisher: SPRINGER VERLAG GMBH
Dimensions (cm): 24.181 x 16.231  x 2.845
Weight (kg): 0.857