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Optical Engineering

Matrix reformulation of the Gabor transform
Author(s): Rogelio Balart
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Paper Abstract

We have observed that if one restricts the von Neumann lattice to N points on the time axis and M points in the frequency axis there are, by definition, only MN independent Gabor coefficients. If the data is sampled such thatthere are exactly MN samples, then the forward and inverse Gabor transforms should be representable as linear transformations in CMN, the MN-dimensional vector space over the complex numbers, and the relationships that hold become matrix equations. These matrix equations are formulated, and some conclusions are drawn about the relative merits of using some methods as opposed to others, i.e., speed versus accuracy as well as whether or not the coefficients that are obtained via some methods are true Gabor coefficients.

Paper Details

Date Published: 1 June 1992
PDF: 8 pages
Opt. Eng. 31(6) doi: 10.1117/12.57517
Published in: Optical Engineering Volume 31, Issue 6
Show Author Affiliations
Rogelio Balart, Atlantic Aerospace Electronics Corp. (United States)

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