Equivalence of two methods for constructing tight Gabor frames

A.J.E.M. Janssen, H. Bölcskei

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
94 Downloads (Pure)

Abstract

Recently, in the context of Orthogonal Frequency Division Multiplexing (OFDM), a new method (FAB-method) [11] for constructing tight Gabor frames (with redundancy 2) from a (non-tight) Gaussian g was proposed. In this letter, we prove that the FAB-method yields the tight window function canonically associated to the Gaussian. We furthermore provide a necessary and sufficient condition on the initial window function g in the Zak transform domain for the FAB-method to yield a tight Gabor frame. This yields a characterization of all initial window functions g for which the FAB-method works.
Original languageEnglish
Pages (from-to)79-82
Number of pages4
JournalIEEE Signal Processing Letters
Volume7
Issue number4
DOIs
Publication statusPublished - 2000

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