论文标题
矢量值的非均匀多分辨率分析与线性典型变换相关
Vector valued nonuniform multiresolution analysis associated with linear canonical transform
论文作者
论文摘要
Shah和Waseem定义了与线性规范变换相关的多分辨率分析，其转换集为一个离散集，而不是组。在本文中，我们基于此非标准设置继续进行研究，并引入与线性规范变换（LCT-VNUMRA）相关的矢量值非均匀的多分辨率分析。我们为存在相关小波的存在建立了必要且充分的条件，并得出了一种算法，用于构建从矢量改进蒙版的局部磁场上构建矢量值的不均匀的多分辨率分析，并具有适当条件。
A multiresolution analysis associated with linear canonical transform was defined by Shah and Waseem for which the translation set is a discrete set which is not a group. In this paper, we continue the study based on this nonstandard setting and introduce vector-valued nonuniform multiresolution analysis associated with linear canonical transform (LCT-VNUMRA). We establish a necessary and sufficient condition for the existence of associated wavelets and derive an algorithm for the construction of vector-valued nonuniform multiresolution analysis on local fields starting from a vector refinement mask with appropriate conditions.
