数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 449-455.

• 论文 • 上一篇    下一篇

多元小波滤波器的矩阵扩充

蔡建宏, 陶丰   

  1. (湖北大学数学与计算机科学学院  |武汉 430062)
  • 收稿日期:2007-11-03 修回日期:2008-12-17 出版日期:2009-04-25 发布日期:2009-04-25

A Note on Matrix Extension for Multivariate Wavelet Filter Banks

 CA Jian-Hong, DAO Feng   

  1. (School of Mathematics and Computer Science, Hubei University, Wuhan 430062)
  • Received:2007-11-03 Revised:2008-12-17 Online:2009-04-25 Published:2009-04-25

摘要:

该文讨论了多元小波滤波器的矩阵扩充问题. 文献[7]给出了当伸缩矩阵为2I2×2时的矩阵扩充方法,该文得出了当伸缩矩阵A满足det A =4 时的方法.

关键词: 多元小波, 滤波器, 矩阵扩充

Abstract:

This note focuses on the problem of  matrix extension in the theory of  multivariate wavelets and filter banks. In [7], a matrix extension method was given for low-pass filter with linear phase in the bivariate case with special dilation matrix 2I2×2. The authors extend this result to general case with the determinant of the dilation matrix being 4.

Key words: Multivariate wavelets, Filter banks, Matrix extension

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  • 42B