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On the Stability of Gabor Frames

✍ Scribed by Wenchang Sun; Xingwei Zhou

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 106 KB
Volume: 26
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.2000.0715

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✦ Synopsis

In this paper, we study the stability of Gabor frames ϕ mb na m n ∈ Z . We show that ϕ mb na m n ∈ Z remains a frame under a small perturbation of ϕ m, or n. Our results improve some results from Favier and Zalik and are applicable to many frequently used Gabor frames. In particular, we study the case for which ϕ is not compactly supported, and, for the particular case of the Gaussian function, we give explicit stability bounds.

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