On weak convergence of probability measures, channel capacity and code error probabilities

On weak convergence of probability measures, channel capacity and code error probabilities
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DOI:
10.1109/18.532897
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发表时间:
1996-09-01
影响因子:
2.5
通讯作者:
Schwarte, H
Schwarte, H
中科院分区:
计算机科学2区
文献类型:
--
作者:
Schwarte, H

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针对具有一般输入和输出字母表的无记忆信道,检验了信道概率度量、信道容量和块码的差错概率之间的弱收敛关系,结果表明,信道容量是下半连续函数,并且对于任何ε>0的标称信道具有最大错误概率δ的每个块码都可以被修改,使得对于标称信道的足够小的邻域中的所有信道,修改具有小于δ+ε的错误概率。
The relationship between weak convergence of channel probability measures, channel capacity, and error probability of block codes is examined for memoryless channels with general input and output alphabets, It is shown that channel capacity Is a lower semi-continuous function and that every block code with maximal probability of error delta for a nominal channel for any epsilon>0 can be modified such that the modification has probability of error less than delta + epsilon for all channels in a sufficiently small neighborhood of the nominal channel.