In this paper, we propose a pre-configured error pattern ordered statistics decoding (PEPOSD) algorithm and discuss its application to short cyclic redundancy check (CRC)-polar codes. Unlike the traditional OSD that changes the most reliable independent symbols, we regard the decoding process as testing the error patterns, like guessing random additive noise decoding (GRAND). Also, the pre-configurator referred from ordered reliability bits (ORB) GRAND can better control the range and testing order of EPs. Offline-online structure can accelerate the decoding process. Additionally, we also introduce two orders to optimize the search order for testing EPs. Compared with CRC-aided OSD and list decoding, PEPOSD can achieve a better trade-off between accuracy and complexity.
翻译:本文提出一种预配置错误图案有序统计译码(PEPOSD)算法,并讨论其在短循环冗余校验(CRC)-Polar码中的应用。与依赖改变最可靠独立符号的传统OSD不同,我们将译码过程视为对错误图案的检验,类似于猜随机加性噪声译码(GRAND)。同时,由有序可靠比特(ORB)GRAND衍生的预配置器能更好地控制错误图案的范围与测试顺序。离线-在线结构可加速译码进程。此外,我们还引入两种排序机制以优化错误图案的搜索顺序。相较于CRC辅助OSD与列表译码,PEPOSD能在精度与复杂度之间实现更优的平衡。