具有特征函数窗口的Gabor双框架

Q4 Mathematics
H. Fard, Mohammad Ali
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引用次数: 0

摘要

Gabor帧的对偶在信号重构中起着至关重要的作用。本文给出了两个Gabor系统$left(chi_{left[c1,d_1right)},a,bright)$和$left(chi_{leve[c2,d_2right)},a,bright)$形成$L_2left(mathbb{R}right)$,其中$a$和$b$是正数,$c_1、c_2、d_1$和$d_2$是实数,使得$c_1
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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 $left(chi_{left[c_1,d_1right)},a,bright)$ 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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来源期刊
Communications in Mathematical Analysis
Communications in Mathematical Analysis Mathematics-Applied Mathematics
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