A strong Balian-low theorem

被引：0
|
作者：
Liu, YM [1 ]
机构：
[1] Beijing Polytech Univ, Dept Appl Math, Beijing 100022, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2004年 / 6卷 / 04期
关键词：
Gabor frame; Gabor basis; density; wavelet;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The Balian-Low theorem is a key result in time-frequency analysis. It says that if a Gabor system {e(2 pi imt)g(t-n)} forms a frame for L-2 (R), then either tg(t) or omega(g) over bar(omega) can not be in L-2 (R). In this paper, a new theorem will be proved for a family of non-uniform Gabor frames {e(pi ix m t) g(t-y(n))} with Condition G, which is stronger than Balian-Low theorem.
引用
收藏
页码：357 / 368
页数：12
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