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Proceedings Paper

Structure of the Gabor matrix and efficient numerical algorithms for discrete Gabor expansions
Author(s): Sigang Qiu; Hans Georg Feichtinger
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Paper Abstract

The standard way to obtain suitable coefficients for the (non-orthogonal) Gabor expansion of a general signal for a given Gabor atom g and a pair of lattice constants in the (discrete) time/frequency plane, requires to compute the dual Gabor window function g- first. In this paper, we present an explicit description of the sparsity, the block and banded structure of the Gabor frame matrix G. On this basis efficient algorithms are developed for computing g- by solving the linear equation g- * G equals g with the conjugate- gradients method. Using the dual Gabor wavelet, a fast Gabor reconstruction algorithm with very low computational complexity is proposed.

Paper Details

Date Published: 16 September 1994
PDF: 12 pages
Proc. SPIE 2308, Visual Communications and Image Processing '94, (16 September 1994); doi: 10.1117/12.185874
Show Author Affiliations
Sigang Qiu, Univ. Wien (Austria)
Hans Georg Feichtinger, Univ. Wien (Austria)

Published in SPIE Proceedings Vol. 2308:
Visual Communications and Image Processing '94
Aggelos K. Katsaggelos, Editor(s)

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