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.

• 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。