On construction of symmetric compactly supported biorthogonal multiwavelets with short sequences

被引：0
|
作者：
Cen, Yi-Gang [2 ,3 ]
Cen, Li-Hui [1 ]
Chen, Xiao-Fang [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha, Hunan, Peoples R China
[2] Beijing Jiaotong Univ, Inst Informat Sci, Sch Comp Sci & Informat Technol, Beijing, Peoples R China
[3] Beijing Key Lab Adv Informat Sci & Network Techno, Beijing, Peoples R China
来源：
APPLIED MATHEMATICS & INFORMATION SCIENCES | 2012年 / 6卷 / 02期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Construction of multiwavelet; Compactly Supported Biorthogonal Multiwavelet; Symmetry; Short Sequence; High-pass Filter Sequence; MATRIX EXTENSION; WAVELETS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A novel approach for constructing symmetric compactly supported biorthogonal multiwavelets with short sequences is proposed in this paper. For some symmetric types of biorthogonal multiwavelet systems, starting from the symmetric properties of scaling and wavelet functions, parameterized symmetric forms of polyphase matrices can be derived. Furthermore, according to the matrix equations of the perfect reconstruction condition, the parameters of polyphase matrices can be reduced, which finally leads to our proposed algorithm for the construction of symmetric compactly supported biorthogonal multiwavelets with short sequences.
引用
收藏
页码：205 / 212
页数：8
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