加权框架的基本性质及与框架乘子的关系

The Properties of Weighted Frames and the Relationship Between Frame Multipliers

由于加权框架具有良好的冗余性,从而为信号重构和图像处理提供了非常有用的信息。文章首先给出了加权框架的定义并证明了它满足的一些基本性质;接着讨论它与框架算子的联系。从而为加权框架和算子搭起了桥梁,为以后的进一步研究奠定了一些理论基础。

The redundancies of weighted frames provide useful information for signal reconstruction and im- age procession. In this paper, firstly the definition of weighted frames is introduced and some properties are proved; then the relationship between weighted frames and frame multipliers is discussed. So the bridge between weighted frames and multipliers is built, which will be benefit for further study.