{"title":"Path Metric Range and LLR-Based Design of Polar Codes and PAC Codes for SCL Decoding","authors":"Rongchi Xu;Hao Chen;Ling Liu;Baoming Bai","doi":"10.1109/LCOMM.2024.3516939","DOIUrl":null,"url":null,"abstract":"Polar codes and polarization-adjusted convolutional (PAC) codes can achieve good performance with successive cancellation list (SCL) decoding. When constructed by the Reed-Muller rate profile, the rate of PAC code is limited, and its performance is not competitive for large block lengths under the SCL decoder with small or modest list sizes. How to design optimal polar codes and PAC codes for SCL decoding are still open problems. In this letter, we analyse the probability of the correct path in the list according to the path metric in SCL decoding. We calculate the path metric range and log-likelihood ratio of each sub-channel. Then we select the frozen bits to maximize the probability of the correct path in the list. Simulation results show that the proposed polar codes and PAC codes have better performance compared with other advanced constructions at a wide range of code rates and block lengths.","PeriodicalId":13197,"journal":{"name":"IEEE Communications Letters","volume":"29 2","pages":"338-342"},"PeriodicalIF":3.7000,"publicationDate":"2024-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Communications Letters","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10798619/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"TELECOMMUNICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
Polar codes and polarization-adjusted convolutional (PAC) codes can achieve good performance with successive cancellation list (SCL) decoding. When constructed by the Reed-Muller rate profile, the rate of PAC code is limited, and its performance is not competitive for large block lengths under the SCL decoder with small or modest list sizes. How to design optimal polar codes and PAC codes for SCL decoding are still open problems. In this letter, we analyse the probability of the correct path in the list according to the path metric in SCL decoding. We calculate the path metric range and log-likelihood ratio of each sub-channel. Then we select the frozen bits to maximize the probability of the correct path in the list. Simulation results show that the proposed polar codes and PAC codes have better performance compared with other advanced constructions at a wide range of code rates and block lengths.
期刊介绍：
The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.
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