摘要
本文给出伸缩矩阵行列式为2的一类二元半正交小波包的构造算法.该小波包是以频域给出的,随着用于小波包分裂的滤波器选取的不同会得到L2(R2)中形态各异的Riesz基,这样使得L2(R2)中小波基的选择更灵活.
In this paper,we give an algorithm for constructing semi-orthogonal wavelet packets of arbitrary integer-valued dilation matrix whose determinantis is 2.These wavelet packets are given in frequence domain.The decomposition coefficients can be get from vary filter banks,therefore we can draw bases for L^2(R^2) from this wavelet packets flexible.This gives us a chance to construct various bases of L^2(R^2) according to any practical problem at hand.
出处
《应用数学》
CSCD
北大核心
2005年第S1期184-188,共5页
Mathematica Applicata
关键词
尺度函数
小波
小波包
Scaling function
Wavelet
Wavelet packets
