On perturbations of irregular Gabor frames

Joseph D. Lakey, Ying Wang

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We give a new sufficient condition under which an irregular Gabor system {e2πipλxψ(x-qλ)} forms a Bessel sequence for L2(ℝ). The Bessel bound just requires a mild decay on ψ. This condition then can be used to prove stability of an irregular Gabor frame under a perturbation of its generating function. We go on to outline how the perturbation result can be used to extend a sufficient condition of Heller for irregular Gabor frames with compactly supported generator to the case of a noncompactly supported generator.

Original languageEnglish (US)
Pages (from-to)111-129
Number of pages19
JournalJournal of Computational and Applied Mathematics
Volume155
Issue number1
DOIs
StatePublished - Jun 1 2003

Fingerprint

Gabor Frames
Irregular
Friedrich Wilhelm Bessel
Perturbation
Gabor Systems
Generator
Sufficient Conditions
Generating Function
Decay

Keywords

  • Gabor frames
  • Perturbation

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this

On perturbations of irregular Gabor frames. / Lakey, Joseph D.; Wang, Ying.

In: Journal of Computational and Applied Mathematics, Vol. 155, No. 1, 01.06.2003, p. 111-129.

Research output: Contribution to journalArticle

Lakey, Joseph D. ; Wang, Ying. / On perturbations of irregular Gabor frames. In: Journal of Computational and Applied Mathematics. 2003 ; Vol. 155, No. 1. pp. 111-129.
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