TY - JOUR
ID - 46666
TI - Gabor Dual Frames with Characteristic Function Window
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Hasankhani Fard, Mohammad Ali
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O.Box 546, Rafsanjan, Iran.
Y1 - 2021
PY - 2021
VL - 18
IS - 1
SP - 47
EP - 57
KW - Frame
KW - Dual frame
KW - Gabor system
KW - Gabor frame
DO - 10.22130/scma.2020.121704.751
N2 - 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