English

Node-Based Soft-Output Fast Successive Cancellation List Decoding of Polar Codes

Information Theory 2026-05-11 v2 math.IT

Abstract

The soft-output successive cancellation list (SO-SCL) decoder provides a methodology for estimating the a-posteriori probability log-likelihood ratios by only leveraging the conventional SCL decoder of polar codes. However, the sequential decoding nature of SCL introduces high decoding latency to SO-SCL. In this paper, we incorporate node-based fast decoding into the SO-SCL framework. After addressing the challenge of soft output extraction in special node decoding, we proposed the soft-output fast SCL (SO-FSCL) decoding algorithm, along with its log-domain implementation and hardware-friendly version. The proposed SO-FSCL decoder can be regarded as an add-on extension to FSCL decoder, enabling us to autonomously choose whether to output only hard decisions like FSCL or to provide additional soft outputs. Latency and complexity analyses demonstrate that SO-FSCL can significantly reduce, for example, decoding time steps by 81.8\% (with unlimited resources), the number of additions by 41.3\%, and the number of comparisons by 46.4\%. Meanwhile, simulation results indicate that SO-FSCL delivers almost the same soft-output performance as SO-SCL, outperforming other soft-output polar decoders, especially in scenarios involving iterative decoding.

Keywords

Cite

@article{arxiv.2604.17482,
  title  = {Node-Based Soft-Output Fast Successive Cancellation List Decoding of Polar Codes},
  author = {Li Shen and Yongpeng Wu and Zhen Gao and Yin Xu and Xiaohu You and Xiqi Gao and Wenjun Zhang},
  journal= {arXiv preprint arXiv:2604.17482},
  year   = {2026}
}

Comments

This paper has been accepted by IEEE Transactions on Communications

R2 v1 2026-07-01T12:16:59.320Z