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Oversampling of the Generalised Multiwindow Gabor Space

Publication Type : Conference Paper

Thematic Areas : Wireless Network and Application

Publisher : Proceedings of the 6th International Workshop on Sampling Theory and Applications

Source : Proceedings of the 6th International Workshop on Sampling Theory and Applications, Samsun, Turkey (SampTA 05), July 2005.

Url : file:///C:/Users/Surya/AppData/Local/Temp/44c.pdf

Campus : Amritapuri

School : School of Engineering

Center : Amrita Center for Wireless Networks and Applications (AmritaWNA)

Department : Wireless Networks and Applications (AWNA)

Year : 2005

Abstract : A class of non-canonical duals for the multiwindow Ga- bor scheme, incorporating both rational and integer over- sampling of the Gaborian combined time-frequency space, is considered. Using properties of Gabor frame matrices, block Discrete Fourier transforms, and results from num- ber theory, we establish existence conditions for the non- canonical duals for both integer and rational oversampling rates, in the signal domain. For comparison and complete- ness of the results, we also obtain the equivalent results in the Zak transform domain. We show that, using this ap- proach, both computational efficiency and stability of the Gabor scheme can be enhanced.

Cite this Research Publication : N. K. Subbanna, Y. C. Eldar, and Y. Y. Zeevi, “Oversampling of the Generalised Multiwindow Gabor Space”, in Proceedings of the 6th International Workshop on Sampling Theory and Applications, Samsun, Turkey (SampTA 05), July 2005.

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