Polar Codes for Channels with Insertions, Deletions, and Substitutions
Journal Article
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.
Full Text
Duke Authors
Cited Authors
- Pfister, HD; Tal, I
Published Date
- July 12, 2021
Published In
Volume / Issue
- 2021-July /
Start / End Page
- 2554 - 2559
International Standard Serial Number (ISSN)
- 2157-8095
Digital Object Identifier (DOI)
- 10.1109/ISIT45174.2021.9517755
Citation Source
- Scopus