Simplified Metric Sorting for Multi-Bit Successive Cancellation List Decoding of Polar Codes

Ping Luo, Wu Guan, Liping Liang, Xin Qiu · IEEE Communications Letters · 2022

This letter focuses on the metric sorting step for multi-bit successive cancellation list (SCL) decoders of polar codes, which is an important part of the whole decoder. We propose a primary-secondary exchange sorting (PSES) method. In the primary sorting, most of the survivals,${L}$paths are selected from the first minor2Lcandidates. In the secondary sorting, a small number of${N}$paths are extracted from the other huge number of candidates to remedy the missing survivals. The${N}$paths in the secondary stage are exchanged with the largest${N}$elements in the first${L}$paths. Due to the minor candidates in the primary stage and the few survivals in the secondary stage, this method reduces the complexity with negligible performance loss. Additionally, a sorting network based on compare-and-swap unit (CASU) PSES (CPSES) and a sorting network based on Radix-2L PSES (RPSES) are proposed to improve secondary sorting. The evaluation results show that compared with state-of-the-art metric sorting methods, the proposed CPSES architecture significantly reduces hardware resources, and the proposed RPSES architecture significantly reduces the latency.

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