The Residual Correlation of the Version I of the Discrete cosine Transform

Wang Zhong-de; Xu Sheng-long

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The Residual Correlation of the Version I of the Discrete cosine Transform

更新时间：2025-12-08

- The Residual Correlation of the Version I of the Discrete cosine Transform
- Acta Electronica Sinica Issue 6, Pages: 80-83(1985)
- 作者机构：
  
  中国科学院昆明物理研究所
- 作者简介：
- 基金信息：
- DOI：
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- Published：1985
- 稿件说明：
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[1]王中德,许生龙.第Ⅰ种离散cosine变换的残余相关[J].电子学报,1985(06):80-83.

Wang Zhong-de, Xu Sheng-long. The Residual Correlation of the Version I of the Discrete cosine Transform[J]. Acta Electronica Sinica, 1985, (6): 80-83.
[1]王中德,许生龙.第Ⅰ种离散cosine变换的残余相关[J].电子学报,1985(06):80-83. DOI：

Wang Zhong-de, Xu Sheng-long. The Residual Correlation of the Version I of the Discrete cosine Transform[J]. Acta Electronica Sinica, 1985, (6): 80-83. DOI：

摘要

给出了第Ⅰ种离散cosine变换（DCT-Ⅰ）的残余相关表达式。它和第Ⅱ种散离cosine变换（DCT-Ⅱ）及第Ⅰ种离散sine变换（DST-Ⅰ）残余相关的比较表明

在相关系数ρ取中等值时

DCT-Ⅰ的残余相关最小。

Abstract

The residual correlation of the version I of the discrete cosine transform （DCT-I） is given. It is compared with the residual correlations of the version I of the discrete cosine transform （DCT-I） and of the version I of the discrete sine transform （DST-I）. Results show that the residual correlation of the DCT-I is the smallest one if the correlation coefficient ρ is mediate.

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