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Existence Conditions for Discrete Noncanonical Multiwindow Gabor Schemes

Publication Type : Journal Article

Thematic Areas : Wireless Network and Application

Publisher : IEEE Transactions on Signal Processing

Source : IEEE Transactions on Signal Processing, Vol. 55(10), pp. 5113-5117

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Keywords : Block circulant matrices, frames, multiwindow Gabor transforms , Zak transforms

Campus : Amritapuri

School : School of Engineering

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

Department : Wireless Networks and Applications (AWNA)

Year : 2007

Abstract : A class of noncanonical duals for multiwindow Gabor (MWG) schemes, encompassing both rational and integer oversampling of the Ga-borian combined time-frequency space, is considered. Using properties of Gabor frame matrices (GFM), block discrete Fourier transforms (BDFTs), and results from number theory, we use matrix factorization to establish existence conditions for noncanonical 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 finite Zaktransform (FZT) domain.

Cite this Research Publication : N. K. Subbanna and Y. Y. Zeevi, "Existence Conditions for Non-Canonical Discrete Multiwindow Gabor Frames", IEEE Transactions on Signal Processing, Vol. 55(10), pp. 5113-5117, October 2007. DOI: 10.1109/TSP.2007.896100

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