Existence conditions for discrete noncanonical multiwindow gabor schemes

被引：7

作者：

Subbanna, Nagesh K. ^{[1
]}

Zeevi, Yehoshua Y. ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Biomed Engn, IL-32000 Haifa, Israel

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2007年 / 55卷 / 10期

关键词：

block circulant matrices; frames; multiwindow Gabor transforms; Zak transforms;

D O I：

10.1109/TSP.2007.896100

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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 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 completeness of the results, we also obtain the equivalent results in the finite Zak transform (FZT) domain.

引用

页码：5113 / 5117

页数：5

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