Estimates, decay properties, and computation of the dual function for Gabor frames
type: Item
instance of: scholarly article
title: Estimates, decay properties, and computation of the dual function for Gabor frames
zbMATH Open document ID: 0948.42024
DOI: 10.1007/BF01257190
author: Vincenza Del Prete
published in: The Journal of Fourier Analysis and Applications
publication date: 2000-11-14T00:00:00Z
full work available at URL: https://eudml.org/doc/59622
review text: It is proved that if a function \(g\in L^2(\mathbb R)\) generating a Gabor frame has exponential decay, then the dual function also has exponential decay. A method for approximation of the dual function using finite-dimensional methods is presented; in the case of a dual with exponential decay, an error estimate is given (however, with some unknown constants appearing in the expression). Finally, for splines of order two the region in the time-frequency plane where a frame is generated is estimated numerically.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 1441218
zbMATH Keywords: Weyl-Heisenberg frame
zbMATH Keywords: dual window
zbMATH Keywords: spline
zbMATH Keywords: Gabor frame
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1441218