The Design of M-Band Symmetric Orthogonal Wavelets with Arbitrary Regularity

ZHANG Zeng-hui; CHENG Li-zhi

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The Design of M-Band Symmetric Orthogonal Wavelets with Arbitrary Regularity

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- The Design of M-Band Symmetric Orthogonal Wavelets with Arbitrary Regularity
- Acta Electronica Sinica Vol. 32, Issue 7, Pages: 1094-1098(2004)
- 作者机构：
  
  1. 国防科技大学电子科学与工程学院,湖南,长沙,410073
  2. 国防科技大学理学院数学与系统科学系,湖南,长沙,410073
  3. 国防科技大学电子科学与工程学院湖南长沙,410073
  4. 国防科技大学理学院数学与系统科学系湖南长沙,410073
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2004
- 稿件说明：
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ZHANG Zeng-hui, CHENG Li-zhi. The Design of M-Band Symmetric Orthogonal Wavelets with Arbitrary Regularity[J]. Acta Electronica Sinica, 2004, 32(7): 1094-1098.
DOI：

ZHANG Zeng-hui, CHENG Li-zhi. The Design of M-Band Symmetric Orthogonal Wavelets with Arbitrary Regularity[J]. Acta Electronica Sinica, 2004, 32(7): 1094-1098. DOI：

摘要

利用计算代数中Grobner基与合冲模的概念与算法

论文提出了一种多相位矩阵的正交化方法

在此基础上得到了同时具有对称性和任意正则阶的M-带正交小波的高效设计方法.克服了现有算法构造过程复杂以及不能保持线性相位的缺陷

另外

当所求得的尺度滤波器系数为参数形式时

本文算法求得的小波滤波器也为含参数的

因而可以根据实际问题灵活选取适当参数从而得到所需要的M-带小波系统.

Abstract

Using the concepts and algorithms related to Grobner basis and syzygy module in computing algebra

we propose orthogonalized approach for the polyphase matrix

and symmetric orthogonal M-band wavelets with arbitrary regularity are achieved.The drawbacks that the computational process of the existing methods is complicated and linear-phase can not be achieved are avoided.Furthermore

the presented wavelet filters contains free variables when the associated scale filter coefficients involve parameters.Therefore

M-band wavelets with free variables via practice requirement is also developed.

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Related Institution

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