A pioneering study on discrete cosine transform

被引：4

作者：

Yamada, Hiroshi ^{[1
]}

机构：

[1] Hiroshima Univ, Sch Informat & Data Sci, 1-2-1 Kagamiyama, Higashihiroshima 7398525, Japan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 15期

基金：

日本学术振兴会;

关键词：

Discrete cosine transform; von Neumann ratio; spectral decomposition; 42; 15; SQUARE SUCCESSIVE DIFFERENCE; RATIO;

D O I：

10.1080/03610926.2020.1838547

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The discrete cosine transform is a widely applied linear transform not only in data compression but also in statistics. On the transform, John von Neumann's research article published in Annals of Mathematical Statistics in 1941 has not been recognized as a pioneering study. This note is intended to share the idea that his research is eligible to be regarded as such a study.

引用

页码：5364 / 5368

页数：5

共 32 条

[1] DISCRETE COSINE TRANSFORM [J].

AHMED, N ;

NATARAJAN, T ;

RAO, KR .

IEEE TRANSACTIONS ON COMPUTERS, 1974, C 23 (01) :90-93

[2]

Ahmed N., 1991, Digital Signal Processing, V1, P4, DOI DOI 10.1016/1051-2004(91)90086-Z

[3]

Amemiya T., 1985, ADV ECONOMETRICS

[4]

Anderson TW, 1948, SKAND AKTUARIETIDSKR, V31, P88

[5]

Anderson T. W., 1971, The Statistical Analysis of Time Series

[6]

[Anonymous], 2013, IEEE signal processing magazine

[7] AN APPROXIMATION FOR THE DISTRIBUTION OF THE VON NEUMANN RATIO [J].

BINGHAM, C ;

NELSON, LS .

TECHNOMETRICS, 1981, 23 (03) :285-288

[8]

Bohlmann G., 1899, MathematischPhysikalische Klasse, P260

[9] KERNEL DENSITY ESTIMATION VIA DIFFUSION [J].

Botev, Z. I. ;

Grotowski, J. F. ;

Kroese, D. P. .

ANNALS OF STATISTICS, 2010, 38 (05) :2916-2957

[10]

Duchateau Paul., 1989, APPL PARTIAL DIFFERE

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