某类擦除信道多级信道极化的渐近分布
信息论
2020-08-24 v1 math.IT
摘要
本研究考察了一类输入字母表大小为任意合数的擦除信道的多级信道极化。我们推导了此类信道中部分无噪信道的极限比例。本研究结果借助受 Alsan 与 Telatar 对极化简洁证明启发的收敛序列论证得以证明，且未使用极化过程的鞅收敛定理。
引用
@article{arxiv.1801.04422,
title = {Asymptotic Distribution of Multilevel Channel Polarization for a Certain Class of Erasure Channels},
author = {Yuta Sakai and Ken-ichi Iwata and Hiroshi Fujisaki},
journal= {arXiv preprint arXiv:1801.04422},
year = {2020}
}
备注
31 pages; 1 figure; 1 table; a short version of this paper has been submitted to the 2018 IEEE International Symposium on Information Theory (ISIT2018)