Gabor Duality Characterizations

Abstract

Gabor duality studies have resulted in a number of characterizations of dual Gabor frames, among which the Wexler-Raz identity and the operator approach reformulation by Janssen and by Daubechies, Landau, and Landau are well known. A concise overview of existing Gabor duality characterizations is presented. In particular, we demonstrate that the Gabor duality conditions by Wexler and Raz [23] and by Daubechies, Landau, and Landau [6], and the parametric dual Gabor formula of [15] are equivalent.