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滤波长度为5的双正交多尺度分析的构造
引用本文:黄达人,刘九芬,李峰.滤波长度为5的双正交多尺度分析的构造[J].计算数学,2002,24(2):177-188.
作者姓名:黄达人  刘九芬  李峰
作者单位:1. 中山大学科学计算与计算机应用系,广州,510275
2. 中山大学科学计算与计算机应用系,广州,510275;中国人民解放军信息工程大学信息研究系,郑州,450002
基金项目:国家自然科学基金重点项目(No.69735020),国家自然科学基金(19871095),广东省自然科学基金(990227)
摘    要:In this paper,a general construction of biorthonormal multiresolution analyses with length 5 is studied.Both the existence of unique symmetric biorthonormal MRAs and the inexistence of antisymmetric ones are also proved.The regularity of the scale functions is analyzed and some examples are given at last.

关 键 词:滤波长度  双正交多尺度分析  多尺度分析  尺度函数  双正交小滤基  小波分析
修稿时间:2000年6月12日

CONSTRUCTION OF MRAS WITH FILTER LENGTH 5
Institution:Huang Daren, Liu Jiufen, LiFeng (Dept of Scientific Computation and Computer Applications, Zhongshan University, Guangzhou, 510275) (Dept of Indrmation Research, P. L. A Information Engineering University, Zhengzhou, 450002)
Abstract:In this paper, a general construction of biorthonormal multiresolution analyses with length 5 is studied. Both the existence of unique symmetric biorthonormal MRAs and the inexistence of antisymmetric ones are also proved. The regularity of the scale functions is analyzed and some examples are given at last.
Keywords:Multiresolution Analysis  Scaling Function  Biorthonor- mal Wavlet Base  
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