The Chebyshev polynomial fitting properties of discrete cosine transform

被引：4

作者：

Hu, XY ^{[1
]}

Yu, XH ^{[1
]}

机构：

[1] Southeast Univ, Natl Commun Res Lab, Nanjing, Peoples R China

来源：

SIGNAL PROCESSING-IMAGE COMMUNICATION | 1998年 / 13卷 / 01期

关键词：

discrete cosine transform; least-squares approximation; Chebyshev polynomial;

D O I：

10.1016/S0923-5965(97)00044-1

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, the least-squares approximation/fitting aspects of discrete cosine transform (DCT) are identified and analyzed. Through constructing a monovariant function skillfully defined on a discrete set, we obtain a specified series expansion which is a combination of Chebyshev polynomials. It will be shown that the corresponding Chebyshev polynomial expansion is exactly a mathematical equivalence of DCT. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：15 / 20

页数：6