Binary Polar Codes Based on Bit Error Probability
Abstract
This paper introduces techniques to construct binary polar source/channel codes based on the bit error probability of successive-cancellation decoding. The polarization lemma is reconstructed based on the bit error probability and then techniques to compute the bit error probability are introduced. These techniques can be applied to the construction of polar codes and the computation of lower and upper bounds of the block decoding error probability.
Keywords
Cite
@article{arxiv.2101.08943,
title = {Binary Polar Codes Based on Bit Error Probability},
author = {Jun Muramatsu},
journal= {arXiv preprint arXiv:2101.08943},
year = {2022}
}
Comments
(v1) 36 pages, this is the extended version of the paper submitted to 2021 IEEE ISIT, (v2) 37 pages, this is the full version of the paper re-submitted to 2021 IEEE ITW, (v3) 41 pages, this is the full version of the paper re-submitted to 2022 IEEE ISIT, slight improvement of main theorems and additional experimental results comparing with conventional methods, (v4) correcting typos