A new upper bound on the reliability function of the Gaussian channel

被引：0
|
作者：
Ashikhmin, A [1 ]
Barg, A [1 ]
Litsyn, S [1 ]
机构：
[1] Bell Labs, Lucent Technol, Murray Hill, NJ 07974 USA
来源：
2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS | 2000年
关键词：
D O I：
10.1109/ISIT.2000.866756
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Upper bounds on the reliability function of the Gaussian channel were derived by Shannon in 1959 [1]. Kabatiansky and Levenshtein [2] obtained a low-rate improvement of Shannon's "minimum-distance bound". Together with the straight-line bound this provided an improvement upon the sphere-packing bound in a certain range of code rate. In this work we prove a bound better than the KL bound on the reliability function. Employing the straight-line bound, we obtain a further improvement of Shannon's results. As intermediate results we prove lower bounds on the distance distribution of spherical codes and a tight bound on the exponent of Jacobi polynomials of growing degree in the entire orthogonality segment.
引用
收藏
页码：458 / 458
页数：1
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