多尺度函数平衡与Armlet多小波的显式构造

The Explicit Construction of Multi-scaling Function Balance and Armlet Multi-wavelet

本文研究了关于多尺度函数是平衡的同时其对应的多小波是Armlet多小波的问题,给出了该问题的一种显式构造方法.首先给出了仿酉矩阵的构造,然后利用仿酉两尺度相似变换讨论了多尺度函数平衡性与对应的Armlet多小波的关系,最后给出了平衡Armlet多小波的构造定理和算例.

In this paper, the problem that the muhiwavelet of multi-scaling function is Armlet multiwavelet is studied in the ease of multi-sealing function balance, and an explicit construction method for solving this problem is provided. Firstly, the construction of para-unitary matrix was presented. Secondly, the relationship between the balance of multi-scaling function and the corresponding Armlet multi-wavelet was discussed by using para-unitary two scale similar transform. Finally, the theorem of constructing balaneed Armlet multi-wavelet and an example were given.