多尺度函数的平衡性与Armlet的研究  

The Balance of Multi-scale Function and Armlet

作　　者：陈韫智 王刚[1] CHEN Yunzhi;WANG Gang(School of Mathematical Sciences,Xinjiang Normal University,Urumqi 830017,China)

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830017

出　　处：《渭南师范学院学报》2021年第2期89-92,F0003,共5页Journal of Weinan Normal University

基　　金：新疆师范大学“十三五”校级重点学科数学招标课题资助项目:泊松流形的研究(17SDK1104)。

摘　　要：研究了多尺度函数的平衡性与其对应的多小波的存在条件,对特定算法下构造出的正交多小波进行变换,得到平衡化多尺度函数及对应的多小波函数,进一步讨论了正交对称的情形。最后结合算法,构造了一个关于多尺度函数是平衡的及对应的多小波的算例。In this paper, an existence condition is studied, that is, the multiscale function is balanced and its corresponding multiwavelet is Armlet. Firstly, a conclusion is proved that when PTST is performed on the orthogonal multiwavelet constructed by a particular algorithm. It not only balances the multiscale function, but also Armlet is the transformed multiwavelet function. Secondly, the case of orthogonal symmetry is also discussed. Finally, the corresponding examples are given.

关 键 词：平衡性 Armlet 多尺度函数 

分 类 号：O174.2[理学—基础数学]