Characterizations of Gabor Systems via the Fourier transform.

Wojciech Czaja

Collectanea Mathematica (2000)

  • Volume: 51, Issue: 2, page 205-224
  • ISSN: 0010-0757

Abstract

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We give characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems. The conditions we propose are stated in terms of equations for the Fourier transforms of the Gabor system's generating functions.

How to cite

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Czaja, Wojciech. "Characterizations of Gabor Systems via the Fourier transform.." Collectanea Mathematica 51.2 (2000): 205-224. <http://eudml.org/doc/41507>.

@article{Czaja2000,
abstract = {We give characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems. The conditions we propose are stated in terms of equations for the Fourier transforms of the Gabor system's generating functions.},
author = {Czaja, Wojciech},
journal = {Collectanea Mathematica},
keywords = {Sistema ortonormal; Bases ortonormales; Ondículas; Gabor frame; tight frame; orthonormal basis},
language = {eng},
number = {2},
pages = {205-224},
title = {Characterizations of Gabor Systems via the Fourier transform.},
url = {http://eudml.org/doc/41507},
volume = {51},
year = {2000},
}

TY - JOUR
AU - Czaja, Wojciech
TI - Characterizations of Gabor Systems via the Fourier transform.
JO - Collectanea Mathematica
PY - 2000
VL - 51
IS - 2
SP - 205
EP - 224
AB - We give characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems. The conditions we propose are stated in terms of equations for the Fourier transforms of the Gabor system's generating functions.
LA - eng
KW - Sistema ortonormal; Bases ortonormales; Ondículas; Gabor frame; tight frame; orthonormal basis
UR - http://eudml.org/doc/41507
ER -

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