Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (3): 129-131.DOI: 10.3778/j.issn.1002-8331.2011.03.039

• 数据库、信号与信息处理 • Previous Articles     Next Articles

Construction of 4-bank bi-symmetric wavelets bases with parameters

ZOU Qingyun1,WANG Guoqiu2,WANG Zhenwei1   

  1. 1.School of Mathematics and Computing Science,Hunan University of Arts and Science,Changde,Hunan 415000,China
    2.School of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China
  • Received:2009-05-08 Revised:2009-08-03 Online:2011-01-21 Published:2011-01-21
  • Contact: ZOU Qingyun

含参数4-进双对称小波的构造

邹庆云1,王国秋2,王真伟1   

  1. 1.湖南文理学院 数学与计算科学学院,湖南 常德 415000
    2.湖南师范大学 数学与计算机科学学院,长沙 410081
  • 通讯作者: 邹庆云

Abstract: A class of 4-bank bisymmetric biorthogonal wavelet bases has been constructed,in which any wavelet system can be determined by its low-pass filter.Thus,the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement.Some concrete examples with high vanishing moments are also given,and the properities of the transformation matrix are studied.These wavelets can process the boundary conveniently,and enjoy the highly efficient computations in application.

Key words: 4-bank wavelets, biorthonormal wavelets, orthogonality, image compression

摘要: 给出了一类具有滤波器对称和图像对称的4-进双正交小波的构造,该小波可以由它的低通滤波器确定,因此,其自由度能够运用到应用背景。构造具有较高消失矩的对称双正交多小波族,研究了变换矩阵的性质,为应用提供了大量选择。

关键词: 4-进小波, 双正交小波, 正交性, 图像压缩

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