摘要
提出了 2重尺度函数及其相应多小波的构造步骤。该尺度函数满足如下性质 :(1)各分量具有不同的紧支撑区间 ;(2 )各分量对称性相同 ;(3)正交。得出了不存在各分量满足反对称性的具有实用价值的 2重尺度函数的结果。讨论了构造过程中参数与尺度函数及其小波性质的关系 ,最后根据该类尺度函数及多小波的性质 ,构造了两种尺度函数和多小波。
In this paper, the way of constructing multiplicity 2 multiscaling functions and multiwavelets is presented. These functions satisfy:(1) each component has different compact support; (2) each component has the same symmetry;(3) orthogonal. Then it is proved the multi-scaling functions which are practically valuable and which components satisfy antisymmetry do not exist. The relations between parameters of the construction and the properties of the multiscaling functions and multiwavelets are discussed. At last, two multiscale functions and multiwavelet are constructed based on the proposed multi-scale functions and multiwavelets.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2002年第9期70-73,共4页
Systems Engineering and Electronics
基金
国家自然科学基金资助课题 (69875 0 14 )
教育部高校骨干教师资助计划资助课题
关键词
2重尺度函数
多小波函数
对称性
正交性
紧支撑集
平衡性
滤波器组
Multiscaling functions
Multiwavelet function
Symmetry
Orthogonal
Compact support
Balanced
Multifilter banks
