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.
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Dedicated to Professor John Benedetto.
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© 2006 Birkhäuser Boston
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Hayashi, E., Li, S., Sorrells, T. (2006). Gabor Duality Characterizations. In: Heil, C. (eds) Harmonic Analysis and Applications. Applied and Numerical Harmonic Analysis. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4504-7_7
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DOI: https://doi.org/10.1007/0-8176-4504-7_7
Publisher Name: Birkhäuser Boston
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