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Proceedings Paper

General theory of discrete Gabor expansion
Author(s): Shidong Li
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Paper Abstract

We present a new and more general theory of discrete Gabor expansions for arbitrary dimensional spaces. We show that a discrete Gabor expansion is in fact a general frame decomposition. We provide a complete characterization of all possible discrete Gabor expansions. We reveal an intrinsic dimension invariance property of the (discrete) Gabor expansion. We derive a parametric algorithm for computing all analysis waveforms that are dimension independent. We shall also consider the issue of optimum Gabor expansion and the construction of non-separable 2D discrete Gabor expansions.

Paper Details

Date Published: 11 October 1994
PDF: 12 pages
Proc. SPIE 2303, Wavelet Applications in Signal and Image Processing II, (11 October 1994); doi: 10.1117/12.188777
Show Author Affiliations
Shidong Li, Dartmouth College (United States)


Published in SPIE Proceedings Vol. 2303:
Wavelet Applications in Signal and Image Processing II
Andrew F. Laine; Michael A. Unser, Editor(s)

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