Gabor Dual Frames with Characteristic Function Window

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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 $c_1<d_1$ and $c_2<d_2$.

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:18 Issue: 1, Winter 2021
Pages:
47 to 57
https://www.magiran.com/p2237213