EVALUATION OF EXPURGATED BOUND EXPONENTS

被引：26

作者：

JELINEK, F

机构：

[1] Elec. Engrg. and Center for Radiophysics and Space Research, Cornell University, Ithaca

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 1968年 / 14卷 / 03期

关键词：

D O I：

10.1109/TIT.1968.1054148

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we investigate the problem of optimizing the expurgated upper bound to the probability of error associated with transmission over discrete memoryless channels. We find a general sufficient condition under which, for a given value of the parameter E [1, CO), the channel input distribution that leads to the optimal exponent corresponds to a constant memoryless source. We then derive a necessary and sufficient condition that the above property holds for all I. < 9 < æ (even then, different values of () would, in general, induce different optimal input distributions). Finally, we define a class of equidistant channels that includes all binary input channels, and show that for this class and all p £ [1, (0) the optimal expurgated exponent is attained by the uniform distribution over the inputs. © 1968 IEEE. All rights reserved.

引用

页码：501 / +