On Polar Coding with Feedback

Fuente: arXiv
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Auteurs principaux: Liu, Ling, Cao, Qi, Li, Liping, Bai, Baoming
Format: Preprint
Publié: 2026
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_version_ 1866910117989974016
author Liu, Ling
Cao, Qi
Li, Liping
Bai, Baoming
author_facet Liu, Ling
Cao, Qi
Li, Liping
Bai, Baoming
contents In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite length performance of polar codes can be significantly improved as feedback enables genie-aided decoding and allows more flexible thresholds for the polar coding construction. To analyze the performance under the new construction, we then propose an accurate characterization of the distribution of the error event under the genie-aided successive cancellation (SC) decoding. This characterization can be also used to predict the performance of the standard SC decoding of polar codes with rates close to capacity.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09222
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Polar Coding with Feedback
Liu, Ling
Cao, Qi
Li, Liping
Bai, Baoming
Information Theory
In this work, we investigate the performance of polar codes with the assistance of feedback in communication systems. Although it is well known that feedback does not improve the capacity of memoryless channels, we show that the finite length performance of polar codes can be significantly improved as feedback enables genie-aided decoding and allows more flexible thresholds for the polar coding construction. To analyze the performance under the new construction, we then propose an accurate characterization of the distribution of the error event under the genie-aided successive cancellation (SC) decoding. This characterization can be also used to predict the performance of the standard SC decoding of polar codes with rates close to capacity.
title On Polar Coding with Feedback
topic Information Theory
url https://arxiv.org/abs/2601.09222