Gabor Dual Frames with Characteristic Function Window

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_۱,d_۱/right)},a,b/right) and /left(/chi_{/left[c_۲,d_۲/right)},a,b/right) to form dual frames for L_۲/left(/mathbb{R}/right), where a and b are positive numbers and c_۱,c_۲,d_۱ and d_۲ are real numbers such that c_۱<d_۱ and c_۲<d_۲.

کلیدواژه ها:

‎Frame ، Dual frame ، Gabor system ، Gabor frame‎