摘要
研究由2维双正交尺度函数构造相应的双正交小波滤波器的矩阵扩充问题,运用矩阵多相分解方法与时频分析方法,给出由插值尺度函数构造2维3尺度双正交滤波器的显示公式;讨论了2维3尺度小波包的性质,得到3个双正交公式.
The matrix extension problem for constructing filters of biorthogonal bivariate wavelets from the biorthogonal bivariate scaing functions is investigated. Explicit formulas for constructing filters of a class biorthogonal bivariate wavelets with three-scale factor are formulated by virtue of matrix polyphase decomposition method and time-frequency analysis method. Their properties are discussed,and three biorthogonality formulas concerning these wavelet packets are obtained.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2010年第6期615-620,共6页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(1057113)
陕西省自然科学基金(2009JM1002)资助项目
关键词
双正交
加细方程
多分辨分析
小波
滤波器
矩阵多相分解
biorthogonal
refinement equation
multiresolution analysis
wavelets
filters
matrix polyphase decomposition
