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Gabor Dual Frames with Characteristic Function Window

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)

Publication Date:

Authors : ;

Page : 47-57

Keywords : ‎Frame; Dual frame; Gabor system; Gabor frame‎;

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Abstract

The duals of Gabor frames have an essential role in reconstruction of signals. In this paper we find a necessary and sufficient  condition for two Gabor systems $left(chi_{left[c_1,d_1right)},a,bright)$ and $left(chi_{left[c_2,d_2right)},a,bright)$ to form dual frames for $L_2left(mathbb{R}right)$, where $a$ and $b$ are positive numbers and $c_1,c_2,d_1$ and $d_2$ are real numbers such that $c_1

Last modified: 2021-11-03 14:31:28