PARAMETRIZATION OF BALANCED MULTIWAVELET  

作　　者：Wei Guo Jiayi Jiang Lihong Qiao 

机构地区：[1]Hebei University of Technology, Peking University, China [2]Henan University of Technology, China

出　　处：《Analysis in Theory and Applications》2010年第4期383-400,共18页分析理论与应用（英文刊）

摘　　要：This paper deals with the parametrization of balanced multiwavelets and different properties associated with them. We introduce the property balancing symmetry and orthogonal properties of multiwavelet and link these properties to the matrix of the lowpass synthesis rnultifilter. Using these new results, we present the parametrization of orthogohal multiwavelets of flip-symmetry with length two and three. This is a direct construction method, making the construction of the balanced multiwavelet as easy as the scalar wavelet.This paper deals with the parametrization of balanced multiwavelets and different properties associated with them. We introduce the property balancing symmetry and orthogonal properties of multiwavelet and link these properties to the matrix of the lowpass synthesis rnultifilter. Using these new results, we present the parametrization of orthogohal multiwavelets of flip-symmetry with length two and three. This is a direct construction method, making the construction of the balanced multiwavelet as easy as the scalar wavelet.

关 键 词：MULTIWAVELET balanced multiwavelet flip-symmetry the parametrization of balanced multiwavelets 

分 类 号：O174.2[理学—数学] O151.21[理学—基础数学]