Polar Codes for Channels with Insertions, Deletions, and Substitutions

被引:4
|
作者
Pfister, Henry D. [1 ]
Tal, Ido [2 ]
机构
[1] Duke Univ, Durham, NC 27706 USA
[2] Technion, Haifa, Israel
关键词
D O I
10.1109/ISIT45174.2021.9517755
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper presents a coding scheme for an insertion deletion substitution channel. We extend a previous scheme for the deletion channel where polar codes are modified by adding "guard bands" between segments. In the new scheme, each guard band is comprised of a middle segment of '1' symbols, and left and right segments of '0' symbols. Our coding scheme allows for a regular hidden-Markov input distribution, and achieves the information rate between the input and corresponding output of such a distribution. Thus, we prove that our scheme can be used to efficiently achieve the capacity of the channel. The probability of error of our scheme decays exponentially in the cube-root of the block length.
引用
收藏
页码:2554 / 2559
页数:6
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