%0 Journal Article
%T 多重Gabor框架的存在性与稳定性<br>Existence and stability for multiple gabor frames
%A 宋亮
%A 冯金顺
%A 程正兴&lt
%A br&gt
%A SONG Liang
%A FENG Jin-shun
%A CHENG Zheng-xing
%J 山东大学学报（理学版）
%D 2017
%R 10.6040/j.issn.1671-9352.0.2016.189
%X 摘要： 鉴于冗余框架在信号处理与图像处理中起着重要的作用,研究了多重Gabor框架的存在性与扰动,给出多重Gabor框架存在的充分条件。 表明Gabor框架经过扰动后的函数族仍然是Gabor框架。 证明了不规则Gabor框架具有稳定性。<br>Abstract: Since redundant frames are play very important role in signal processing and image processing, existence and perturbation for multiple Gabor frames are studied in this paper. The sufficient condition for the existence of multiple Gabor frames is proposed. It is shown that a function which is the generator of Gabor frames is also a generator of Gabor frames after it is perturbed. According to the frame stability criterion, we prove that a class of irregular Gabor frames are stable frames as well
%K 框架多分辨分析
%K 扰动
%K Gabor框架
%K 稳定性
%K 框架生成元
%K &lt
%K br&gt
%K perturbation
%K gabor frame
%K frame generator
%K frame multiresolution analysis
%K stability
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.189