具有高消失矩的3-进双正交对称小波的构造

摘要

本文用矩阵对称扩充来构造了具有高消失矩的3带对称双正交小波。利用矩阵扩充，获得了3维矩阵对称扩充方法和小波构造的算法，并且，该算法便于计算机程序化实现；利用两个实例验证了相关的结论。%In this paper, we investigate the biorthogonal matrix extension problem with sym-metry and its application to construction of 3-band biorthogonal wavelets with compact supported, symmetry and high vanishing moments. By using the theory of matrix extension, we obtain the method of three-dimensional biorthogonal matrix extension with symmetry and a step-by-step al-gorithm for construction of 3-band biorthogonal wavelets, which is easily implemented by computer program. Several examples are provided to illustrate the proposed algorithm and results in this paper.