摘要
本文引入了尺度为α的双正交双向小波包的概念,运用矩阵理论和算子理论研究了双正交双向小波包的性质。得到构造双正交双向小波包的一种新方法。建立了进行迭代与分解的公式。利用双正交双向小波包,得到空间L^2(R)新的Riesz基。最后,给出构造双正交双向小波包的例子。
Biorthogonal two-direction wavelet packets with dilation factor are introduced and their properties are discussed by means of the matrix theory and operator theory.A new approach for constructing biorthogonal two-direction wavelet packets is developed.The formulae for performing iteration and decomposition are established.New Riesz bases for L^2（R） are obtained by the given biorthogonal two-direction wavelet packets.Finally,an example for constructing biorthogonal two-direction wavelet packets is given.
出处
《工程数学学报》
CSCD
北大核心
2010年第5期901-910,共10页
Chinese Journal of Engineering Mathematics
基金
The Natural Science Foundation of Shaanxi Province(09JK708)
关键词
双向小波
双向小波包
双向加细函数
双正交
two-direction wavelet
two-direction wavelet packets
two-direction refinable function
biorthogonal
