Gabor Analysis and Algorithms: Theory and Applications

Paperback (Softcover reprint of the original 1st ed. 1998)
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Editorial Reviews

From the Publisher

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

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Product Details

  • ISBN-13: 9781461273820
  • Publisher: Birkhauser Verlag
  • Publication date: 4/30/2013
  • Series: Applied and Numerical Harmonic Analysis Series
  • Edition description: Softcover reprint of the original 1st ed. 1998
  • Edition number: 1
  • Pages: 496
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.04 (d)

Table of Contents

1 The duality condition for Weyl-Heisenberg frames.- 2 Gabor systems and the Balian-Low Theorem.- 3 A Banach space of test functions for Gabor analysis.- 4 Pseudodifferential operators, Gabor frames, and local trigonometric bases.- 5 Perturbation of frames and applications to Gabor frames.- 6 Aspects of Gabor analysis on locally compact abelian groups.- 7 Quantization of TF lattice-invariant operators on elementary LCA groups.- 8 Numerical algorithms for discrete Gabor expansions.- 9 Oversampled modulated filter banks.- 10 Adaptation of Weyl-Heisenberg frames to underspread environments.- 11 Gabor representation and signal detection.- 12 Multi-window Gabor schemes in signal and image representations.- 13 Gabor kernels for affine-invariant object recognition.- 14 Gabor’s signal expansion in optics.

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