Math @ Duke
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Publications [#355460] of Henry Pfister
Papers Published
- Pfister, HD; Tal, I, Polar Codes for Channels with Insertions, Deletions, and Substitutions,
Ieee International Symposium on Information Theory Proceedings, vol. 2021-July
(July, 2021),
pp. 2554-2559 [doi]
(last updated on 2023/06/01)
Abstract: 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.
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