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

页码：357 / 368

页数：12