摘要
“分裂技巧”可运用于空间的低频和高频分解 ,一维的情形 ,Daubechies已给出 L2 (R)的二进制“分裂技巧”并构造出 L2 (R)的正交小波包 ,这种“分裂技巧”可推广到二维 ,从而可构造出与 M =1 11 - 1 有关的二维正交小波包。但遗憾的是 ,用上述方法很难给出与 M有关的非正交的“分裂技巧”。本文将用完全不同的方法给出一种与 M有关的非正交的“分裂技巧”
In [1], Daubechies provided 2-band 'splitting trick' in L2 (R), which was used in the construction of orthogonal wavelet packets. In [2], by generalizing the trick to bidimensional case, Tian Xiongfei and Li Yunzhang constructed bidimensional orthonormal wavelet packets related to the dilation matrix M = [1 1/1 -1] in this paper, a nonorthogonal 'splitting trick' related to M is obtained.
出处
《工程数学学报》
EI
CSCD
北大核心
2001年第1期57-62,共6页
Chinese Journal of Engineering Mathematics
基金
Supported by national natural science foundation
research foundation of Department of Education and the foundation for young
