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.
出处
《数学杂志》
CSCD
北大核心
2015年第1期12-22,共11页
Journal of Mathematics
基金
Supported by National Science Foundation of China(11171103)
Science Foundation of Hunan Education Office(13C624
13C621)
Science Foundation of Hunan University of Arts and Science(13ZD01)
关键词
双正交性
对称性
多相位矩阵
矩阵扩充
消失矩
biorthogonality
symmetry
polyphase matrices
matrix extension
vanishing moments
