On Exact Asymptotics of the Error Probability in Channel Coding: Symmetric Channels
On Exact Asymptotics of the Error Probability in Channel Coding: Symmetric Channels
复制标题
信道编码中误差概率的精确渐近:对称信道
DOI:
10.1109/tit.2020.3042592
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发表时间:
2021
影响因子:
2.5
通讯作者:
Wagner, Aaron B.
中科院分区:
文献类型:
--
作者:
Altug, Yucel;Wagner, Aaron B.
The exact order of the optimal sub-exponentially decaying factor in the classical bounds on the error probability of fixed-length codes over a Gallager-symmetric discrete memoryless channel with and without ideal feedback is determined for rates above the critical rate. Regardless of the availability of feedback, it is shown that the order of the optimal sub-exponential factor exhibits a dichotomy. Moreover, the proof technique is used to establish the third-order term in the normal approximation for symmetric channels, where a similar dichotomy is shown to exist.
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