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

Schwarte H.

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

机译：关于概率测度，信道容量和码错误概率的弱收敛

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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 /spl delta/ for a nominal channel for any /spl epsiv/<0 can be modified such that the modification has a probability of error less than /spl delta/+/spl epsiv/ for all channels in a sufficiently small neighborhood of the nominal channel.

机译：对于具有通用输入和输出字母的无记忆通道，检查了通道概率测度的弱收敛，通道容量和分组码错误概率之间的关系。结果表明，信道容量是一个较低的半连续函数，对于任何/ spl epsiv / <0的名义信道，每个具有最大错误概率/ spl delta /的分组码都可以修改，这样修改的概率为对于标称频道的足够小的邻域中的所有频道，误差小于/ spl delta / + / spl epsiv /。

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《IEEE Transactions on Information Theory》 |1996年第5期|P.1549-1551|共3页
作者
Schwarte H.;
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正文语种 eng
中图分类无线电电子学、电信技术;
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On weak convergence of probability measures, channel capacity and code error probabilities

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