四元双正交小波的构造与性质  

Construction and properties of biorthogonal four-dimensional wavelets

作　　者：吴宏锷[1] 曹桂文[2] 

机构地区：[1]南阳理工学院应用数学系,河南南阳473000 [2]商丘职业技术学院教务处,河南商丘476000

出　　处：《兰州理工大学学报》2010年第1期146-151,共6页Journal of Lanzhou University of Technology

基　　金：河南省自然科学基金(0511013500)

摘　　要：讨论由四元双正交尺度函数构造四元双正交小波滤波器的矩阵扩充问题,运用插值函数和矩阵多相分解方法,给出一类四元双正交小波滤波器的显示构造公式.讨论四元双正交小波包的性质,得到三个双正交性公式.The matrix extension problem was discussed for constructing filters of biorthogonal four-dimensional wavelets from biorthogonal four-dimensional scaling functions. Explicit formulas for constructing filters of a class of biorthogonal four-dimensional wavelets were presented by means of interpolatory functions and polyphase matrix decomposition. The properties of biorthogonal four-dimensional wavelet packets were discussed, and three biorthogonality formulas concerning the wavelet packets were obtained.

关 键 词：双正交 四元 尺度函数 小波 滤波器 插值函数 

分 类 号：O174.2[理学—数学]