Gabor Dual Frames with Characteristic Function Window
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 1)Publication Date: 2021-02-01
Authors : Mohammad Ali Hasankhani Fard;
Page : 47-57
Keywords : Frame; Dual frame; Gabor system; Gabor frame;
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
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Last modified: 2021-11-03 14:31:28