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arXiv · 2606.25522

A Path-Survival Analytical Framework for SCL Decoding of Polar Codes

Xianbin Wang·Zhichao Liu·Yuan Li·Huazi Zhang·Jiajie Tong·Jun Wang·and Wen Tong
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Abstract

A theoretical analysis of CRC-aided successive cancellation list (CA-SCL) decoding for polar codes remains an open problem, despite its widespread practical adoption. While low-density parity-check (LDPC) codes benefit from mature analytical tools, such as density evolution (DE), for predicting the performance of belief-propagation (BP) decoding, similar techniques are not directly applicable to CA-SCL decoding. This limitation stems from the complex path-pruning mechanism inherent in CA-SCL decoding. In this paper, we propose an analytical framework based on a novel path-survival model that captures the evolution of the correct path's rank during decoding. The proposed framework enables efficient prediction of CA-SCL decoding performance without requiring exhaustive list-specific Monte Carlo simulations. Extensive numerical evaluations demonstrate its effectiveness across a wide range of code lengths, code rates, list sizes, and channel models.

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Xianbin Wang, Zhichao Liu, Yuan Li, Huazi Zhang, Jiajie Tong, Jun Wang, and Wen Tong. 2026-06-29. A Path-Survival Analytical Framework for SCL Decoding of Polar Codes. https://arxiv.org/abs/2606.25522

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