Strong converse and second-order asymptotics of channel resolvability

Strong converse and second-order asymptotics of channel resolvability
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DOI:
10.1109/isit.2014.6875160
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发表时间:
2014-04
期刊:
2014 IEEE International Symposium on Information Theory
影响因子:
--
通讯作者:
Shun Watanabe;Masahito Hayashi
Shun Watanabe;Masahito Hayashi
中科院分区:
其他
文献类型:
--
作者:
Shun Watanabe;Masahito Hayashi

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我们研究了固定i.i.d.的信道可分辨性问题。输入分布和离散无记忆信道(DMC),并推导出任何DMC不一定是满秩的强匡威定理。在一定条件下,我们还得到了最优二阶速率。此外,在DMC具有唯一的能力实现输入分布的条件下,我们得到了最坏的输入分布的最佳二阶信道可分解率。
We study the problem of channel resolvability for fixed i.i.d. input distributions and discrete memoryless channels (DMCs), and derive the strong converse theorem for any DMCs that are not necessarily full rank. We also derive the optimal second-order rate under a condition. Furthermore, under the condition that a DMC has the unique capacity achieving input distribution, we derive the optimal second-order rate of channel resolvability for the worst input distribution.