Improved upper bounds on the reliability function of the Gaussian channel

被引：8

作者：

Ben-Haim, Yael ^{[1
]}

Litsyn, Simon ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2008年 / 54卷 / 01期

关键词：

distance distribution; Gaussian channel; reliability function; spherical codes;

D O I：

10.1109/TIT.2007.911215

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new lower bound on the distance distribution of spherical codes is derived. This yields two new upper bounds on the reliability function of the Gaussian channel. These bounds outperform previously known bounds, and imply a new range of rates for which the exact value of the reliability function is known.

引用

页码：5 / 12

页数：8

共 16 条

[1]

[Anonymous], 1973, PHILIPS J RES

[2] Binomial moments of the distance distribution: Bounds and applications [J].

Ashikhmin, A ;

Barg, A .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (02) :438-452

[3] A new upper bound on the reliability function of the Gaussian channel [J].

Ashikhmin, AE ;

Barg, A ;

Litsyn, SN .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (06) :1945-1961

[4] Distance distribution of binary codes and the error probability of decoding [J].

Barg, A ;

McGregor, A .

IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4237-4246

[5]

BURNASHEV MV, 2000, PROBL INFORM TRANSM, V36, P3

[6]

BURNASHEV MV, UPPER BOUND SHARPENI

[7]

Conway JH., 1988, SPHERE PACKINGS LATT, DOI 10.1007/978-1-4757-2016-7

[8]

DELSARTE P, 1975, PHILIPS RES REP, V30, P91

[9]

Delsarte P., 1977, Geom. Dedicata, V6, P363, DOI DOI 10.1007/BF03187604

[10]

Kabatyanskii G. A., 1978, Problems of Information Transmission, V14, P1

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