摘要
讨论三元双正交小波滤波器构造的矩阵扩充问题.运用多小波提升思想与矩阵多相分解方法,给出了由插值尺度函数构造三元双正交小波滤波器一般公式.刻画了三元双正交小波包的性质,得到了2个双正交公式.
The matrix extension method for the construction of filter banks of multiwavelets is generalized. An explicit formula for constructing filter banks of a class of biorthogonal trivariate wavelets is presented by virtue of interpolatory functions, lifting scheme and polyphase matrix decomposition. The properties regarding these wavelet packets are characterized, and two biorthogonality formulas concerning the wavelet packets are obtained.
出处
《纺织高校基础科学学报》
CAS
2009年第2期160-164,共5页
Basic Sciences Journal of Textile Universities
基金
陕西省教育厅专项科研计划资助项目(08JK340)
关键词
双正交
三元
滤波器
插值函数
小波
小波包
biorthogonal
trivariate
filter
interpolatory functions
wavelets
wavelet packets
