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紧支撑对称-反对称双向多小波的构造
引用本文:吕军,王刚.紧支撑对称-反对称双向多小波的构造[J].山西师范大学学报,2012(2):17-24.
作者姓名:吕军  王刚
作者单位:新疆师范大学数学科学学院
摘    要:利用双向多分辨分析及相应的矩阵理论,在紧支撑正交单小波的基础上,研究了二重紧支撑对称-反对称双向小波的构造问题,并且给出了相应的构造算例.本文最后给出了构造r重紧支撑对称正交多小波的具体过程.

关 键 词:对称-反对称  双向多小波  正交性  紧支撑

Construction of Compactly Supported Symmetric-antisymmetric Two-direction Multi-wavelet
LV Jun,WANG Gang.Construction of Compactly Supported Symmetric-antisymmetric Two-direction Multi-wavelet[J].Journal of Shanxi Teachers University,2012(2):17-24.
Authors:LV Jun  WANG Gang
Institution:*(School of Mathematical Science,Xinjiang Normal University,Urumchi 830054,Xinjiang,China)
Abstract:In this paper,by two-direction multi-resolution analysis and the corresponding matrix theory,we discuss the construction of the two compactly supported symmetric-antisymmetric two-direction wavelet Based on compactly supported orthogonal single wavelet,and give the corresponding construct examples.Finally,the specific process of construct compactly supported symmetric orthogonal multi-wavelet is given.
Keywords:symmetric-antisymmetric  two-direction multiwavelet  orthogonality  compactly supported
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