Oversampling of the Generalized Multiwindow Gabor Scheme
نویسندگان
چکیده
A class of non-canonical duals for the multiwindow Gabor scheme, incorporating both rational and integer oversampling of the Gaborian combined time-frequency space, is considered. Using properties of Gabor frame matrices, block Discrete Fourier transforms, and results from number theory, we establish existence conditions for the noncanonical duals for both integer and rational oversampling rates, in the signal domain. For comparison and completeness of the results, we also obtain the equivalent results in the Zak transform domain. We show that, using this approach, both computational efficiency and stability of the Gabor scheme can be enhanced.
منابع مشابه
Oversampling of the Generalized Multiwindow Gabor Space
A class of non-canonical duals for the multiwindow Gabor scheme, incorporating both rational and integer oversampling of the Gaborian combined time-frequency space, is considered. Using properties of Gabor frame matrices, block Discrete Fourier transforms, and results from number theory, we establish existence conditions for the noncanonical duals for both integer and rational oversampling rate...
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