伸缩框架是通过对每个框架向量前乘以适当系数使其成为Parseval框架的一类框架.本文首先建立对偶框架特征,然后基于这个特征给出伸缩框架的伸缩因子与典则对偶框架的关系及伸缩因子界的范围.
A frame which can generate a Parseval frame by rescaling its frame vectors is called scalable.In this paper,we first establish the characterization of dual frames,then basing on the characterization,we give relationship between scalable factors of scalable frame and its canonical dual frame,and give the bound range of scalable factor for the scalable frame.