Analysis and Design of Polar-Coded Modulation
Analysis and Design of Polar-Coded Modulation
复制标题
极性编码调制的分析与设计
DOI：
10.1109/tcomm.2022.3142280
复制
发表时间：
2022
影响因子：
8.3
通讯作者：
M. Chiu
中科院分区：
文献类型：
--
作者：
M. Chiu
极性编码调制方案的常规设计方法旨在最大程度地减少连续取消（SC）解码下的块错误率（BLER）。但是，在连续的取消列表（SCL）解码下，通过常规方法设计的代码不具有竞争力。本文提出了一种新的设计方法，该方法基于在最大样品（ML）解码（ML型上限）下基于BLER上限的新设计方法。 ML纤维上限取决于平方欧几里德距离上极性编码调制方案的重量函数（WEF）。在本文中，极性编码的调制是通过交织的极性（I极极）代码的概念随机化的，并且可以得出极性编码调制方案的集合的WEF。考虑了三个极性编码的调制方案，即具有单个交叉裂料（BIPCM-SI）的位插孔的极性编码调制，孔切换的极性编码调制具有多个交错（BIPCM-MI），以及多型的调制。水平的极性编码调制（MLPCM）。提出了一种用于极性编码调制方案的新的位通道选择算法，该算法采用极化效应，并将ML较小的上限作为设计标准。设计示例表明，在SCL解码下，具有拟议的通道选择算法的极性编码调制方案（无CRC）优于具有常规算法的算法，并且与最新的5G 5G LDPC代码相比具有竞争力。
Conventional design methods of polar-coded modulation schemes aim to minimize the block error rate (BLER) under successive cancellation (SC) decoding. However, codes designed by conventional methods are not competitive under successive cancellation list (SCL) decoding. This paper presents a new design method based on the BLER upper bound under maximum-likelihood (ML) decoding (ML-BLER upper bound). The ML-BLER upper bound depends on the weight enumerating function (WEF) of the polar-coded modulation scheme over the squared Euclidean distance. In this paper, the polar-coded modulation is randomized by the concept of interleaved polar (i-polar) codes, and the WEF averaged over the ensemble of the polar-coded modulation schemes can be derived. Three polar-coded modulation schemes are considered, i.e., the bit-interleaved polar-coded modulation with a single interleaver (BIPCM-SI), the bit-interleaved polar-coded modulation with multiple interleavers (BIPCM-MI), and the multi-level polar-coded modulation (MLPCM). A new bit channel selection algorithm for polar-coded modulation schemes is proposed, which takes the polarization effect and the ML-BLER upper bound as design criteria. Design examples show that, under SCL decoding, the polar-coded modulation schemes (without CRC) with the proposed channel selection algorithm outperform those with conventional algorithms and are competitive as compared to the state-of-the-art 5G LDPC codes.