New fractional cosine transform and its application

ZHANG Yong-liang; ZENG Yi-cheng

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New fractional cosine transform and its application

更新时间：2024-10-14

- New fractional cosine transform and its application
- Issue 9, Pages: 111-115(2005)
- 作者机构：
  
  1. 湘潭大学材料与光电物理学院
  2. 湘潭大学材料与光电物理学院,湖南,湘潭,411105
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2005
- 稿件说明：
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ZHANG Yong-liang, ZENG Yi-cheng. New fractional cosine transform and its application[J]. 2005, (9): 111-115.
DOI：

ZHANG Yong-liang, ZENG Yi-cheng. New fractional cosine transform and its application[J]. 2005, (9): 111-115. DOI：

摘要

定义了一种分数余弦变换的形式

用前两个整数阶余弦变换的线性叠加构造分数余弦变换。然后基于特征值及特征向量计算的方法将其扩展成K周期形式

推导了两种计算分数余弦变换的算法

并且讨论了与Pei定义的分数余弦变换之间的关系。最后探讨了其在音频信号数字水印中的应用。

Abstract

A new Fractional Cosine Transform was proposed. It was a weighted combination of the first two integer-order cosine transforms of the original signal

and it has the same eigenvectors as the cosine transform’s

but the different eigenvalues which have a periodicity of two. When the periodicity from two to K was extended

K period fractional cosine transform was obtained. Two algorithms were deduced and the advantages of the new fractional cosine transform were analyzed. At last

the application in digital watermark of aural signals was discussed.

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