本文研究尺度滤波器的基本分解问题。基于所得结果，对于任意给定的尺度滤波器，给出了双正交小波矩阵的构造方案。
In this paper, the factorization of scaling vector filters into prime factors is considered. A construction of bi-orthogonal wavelet matrix with pre-asigned scaling filter is given.
对一般的双正交多小波系统，给出了阶平衡的较为简单的定义，并将预滤波理论引入双正交多小波滤波器组。
For common biorthogonal multi-wavelets system, a simple definition of balancing of order is proposed, and the prefilter theory is introduced to biorthogonal multi-filter Banks.
对一般的双正交多小波系统，给出了阶平衡的较为简单的定义，并将预滤波理论引入双正交多小波滤波器组。
For common biorthogonal multi-wavelets system, a simple definition of balancing of order is proposed, and the prefilter theory is introduced to biorthogonal multi-filter Banks.
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