Existence Conditions for Discrete Noncanonical Multiwindow Gabor Schemes

A class of noncanonical duals for multiwindow Gabor (MWG) schemes, encompassing both rational and integer oversampling of the Gaborian combined time-frequency space, is considered. Using properties of Gabor frame matrices (GFM), block discrete Fourier transforms (BDFTs), and results from number theo...

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Veröffentlicht in:	IEEE transactions on signal processing 2007-10, Vol.55 (10), p.5113-5117
Hauptverfasser:	Subbanna, N.K., Zeevi, Y.Y.
Format:	Artikel
Sprache:	eng
Schlagworte:	Application software Applied sciences Block circulant matrices Blocking Discrete Fourier transforms Discrete transforms Equivalence Exact sciences and technology Factorization Fourier transforms frames Image processing Image reconstruction Information, signal and communications theory Integers Lattices Mathematical analysis Miscellaneous multiwindow Gabor transforms Oversampling Sampling methods Signal analysis Signal processing Telecommunications and information theory Time frequency analysis Transforms Zak transforms
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