Gabor Dual Frames with Characteristic Function Window

被引：0

作者：

Fard, Mohammad Ali Hasankhani ^{[1
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, POB 546, Rafsanjan, Iran

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2021年 / 18卷 / 01期

关键词：

Frame; Dual frame; Gabor system; Gabor frame;

D O I：

10.22130/scma.2020.121704.751

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 (x[ei,di a, b) and (X[,d2), a, b) to form dual frames for L2 (R), where a and b are positive numbers and ci, c2, di and d2 are real numbers such that ci < di and c2 < dz.

引用

页码：47 / 57

页数：11

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