In this letter, we propose a symbol-wise puncturing scheme to support hybrid automatic repeat request (HARQ) integrated probabilistic amplitude shaping (PAS). To prevent the probability distribution distortion caused by the traditional sequential puncturing and realize the promised gain of PAS, we perform symbol-wise puncturing on the label sequence of the shaped modulation symbols. Our simulation results indicate that the proposed puncturing scheme achieves a stable shaping gain across the signal-to-noise ratio of at least 0.6 dB compared with the uniform case under the same throughput, while the gain of sequential puncturing drops rapidly with retransmissions. Moreover, in each transmission, the proposed scheme is able to reduce the distribution distortion that achieves over 1.2 dB gain at a block error rate (BLER) of ${10^{-3}}$. In contrast, for sequential puncturing, the distribution is severely distorted and the BLER performance is even worse than that of the uniform case in retransmissions.

翻译：在这封信中,我们提出了一个符号错误计划,以支持混合自动重复请求(HARQ)集成概率概率测算(PAS)。为了防止传统顺序穿刺造成的概率分布扭曲并实现PAS的预期收益,我们对形状调制符号的标签序列进行符号错误化。我们的模拟结果表明,拟议的标定计划在信号对噪音比比至少0.6 dB在同一个吞吐量的统一情况下取得了稳定的成形收益,而相继穿刺的收益随着再传输的下降迅速下降。此外,在每次传输中,拟议的计划能够减少分配扭曲,以区块误差率(LULR)达到1.2 dB的收益。相比之下,对于相继穿刺,分布严重扭曲,而BLER的性能甚至比重新传输的统一情况差。