Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
Information Spectrum Approach to Second-Order Coding Rate in Channel Coding
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DOI：
10.1109/tit.2009.2030478
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发表时间：
2009-11-01
影响因子：
2.5
通讯作者：
Hayashi, Masahito
中科院分区：
文献类型：
--
作者：
Hayashi, Masahito
本文讨论了一般信道序列下信道编码的二阶编码率问题。利用信息谱法得到了误差约束为常数的最优二阶传输速率。我们将此结果应用于离散无记忆情况、有成本约束的离散无记忆情况、加性马尔可夫情况和有能量约束的高斯信道情况。我们还澄清了Gallager界并不能给出二阶编码速率的最优评价。
In this paper, second-order coding rate of channel coding is discussed for general sequence of channels. The optimum second-order transmission rate with a constant error constraint is obtained by using the information spectrum method. We apply this result to the discrete memoryless case, the discrete memoryless case with a cost constraint, the additive Markovian case, and the Gaussian channel case with an energy constraint. We also clarify that the Gallager bound does not give the optimum evaluation in the second-order coding rate.