Probabilistic Shaping for Trellis-Coded Modulation with CRC-Aided List Decoding
Probabilistic Shaping for Trellis-Coded Modulation with CRC-Aided List Decoding
复制标题
具有 CRC 辅助列表解码的网格编码调制的概率整形
DOI：
10.1109/tcomm.2023.3237263
复制
发表时间：
2023
影响因子：
8.3
通讯作者：
Wesel, Richard D.
中科院分区：
文献类型：
--
作者：
Wang, Linfang;Song, Dan;Areces, Felipe;Wiegart, Thomas;Wesel, Richard D.
本文将概率幅度成形（PAS）应用于循环冗余校验（CRC）辅助的咬尾网格编码调制（TCM）。CRC-TCM-PAS在加性白色高斯噪声（AWGN）信道上产生用于短块长度的实用码。在发射机中，由分布匹配器（DM）对同样可能的消息比特进行编码，生成具有期望分布的幅度符号。将CRC附加到幅度符号序列，然后通过TCM对该序列进行编码和调制，以产生实值信道输入信号。本文证明了TCM产生的符号值是渐近相等可能为正或为负的。因此，CRC-TCM-PAS方案可以生成具有对称容量接近概率质量函数的信道输入符号。本文给出了CRC-TCM-PAS系统在AWGN信道下误帧率的解析上界。该FER上限是用于联合优化CRC和卷积码的目标函数。此外，本文提出了一种多成分DM，这是一个集合的多个恒定组成的DM。优化的CRC-TCM-PAS系统实现了低于AWGN中随机编码联合（RCU）界限的误帧率，并且优于具有各种其他前向纠错码的短块长度PAS系统。
This paper applies probabilistic amplitude shaping (PAS) to cyclic redundancy check (CRC)-aided tail-biting trellis-coded modulation (TCM). CRC-TCM-PAS produces practical codes for short block lengths on the additive white Gaussian noise (AWGN) channel. In the transmitter, equally likely message bits are encoded by a distribution matcher (DM) generating amplitude symbols with a desired distribution. A CRC is appended to the sequence of amplitude symbols, and this sequence is then encoded and modulated by TCM to produce real-valued channel input signals. This paper proves that the sign values produced by the TCM are asymptotically equally likely to be positive or negative. The CRC-TCM-PAS scheme can thus generate channel input symbols with a symmetric capacity-approaching probability mass function. The paper provides an analytical upper bound on the frame error rate of the CRC-TCM-PAS system over the AWGN channel. This FER upper bound is the objective function used for jointly optimizing the CRC and convolutional code. Additionally, this paper proposes a multi-composition DM, which is a collection of multiple constant-composition DMs. The optimized CRC-TCM-PAS systems achieve frame error rates below the random coding union (RCU) bound in AWGN and outperform the short-blocklength PAS systems with various other forward error correction codes studied in Coşkun et al. (2019).