{"title":"基于栅格的概率形正交调幅误差校正整形方法","authors":"Mamoru Komatsu;Akira Naka","doi":"10.23919/comex.2025XBL0072","DOIUrl":null,"url":null,"abstract":"This letter proposes the error-correctable shaping method based on the trellis diagram defined in enumerative sphere shaping (ESS), refer to trellis-based error-correctable ESS (TE-ESS), to mitigate one of the implementation issues in probabilistic amplitude shaping (PAS). To introduce the residual error detection and correction, TE-ESS modifies the trellis diagram of ESS to restrict the output amplitude sequence which correspond to even-or odd-parity. Numerical simulations show that TE-ESS outperforms the previously proposed error-correctable shaping method. In addition, Its error correction effectively alleviates the error floor requirement in FEC code, compared to using ESS, in low BER region.","PeriodicalId":54101,"journal":{"name":"IEICE Communications Express","volume":"14 9","pages":"334-337"},"PeriodicalIF":0.3000,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11062678","citationCount":"0","resultStr":"{\"title\":\"Trellis-Based Error-Correctable Shaping Method for Probabilistically-Shaped Quadrature Amplitude Modulation\",\"authors\":\"Mamoru Komatsu;Akira Naka\",\"doi\":\"10.23919/comex.2025XBL0072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This letter proposes the error-correctable shaping method based on the trellis diagram defined in enumerative sphere shaping (ESS), refer to trellis-based error-correctable ESS (TE-ESS), to mitigate one of the implementation issues in probabilistic amplitude shaping (PAS). To introduce the residual error detection and correction, TE-ESS modifies the trellis diagram of ESS to restrict the output amplitude sequence which correspond to even-or odd-parity. Numerical simulations show that TE-ESS outperforms the previously proposed error-correctable shaping method. In addition, Its error correction effectively alleviates the error floor requirement in FEC code, compared to using ESS, in low BER region.\",\"PeriodicalId\":54101,\"journal\":{\"name\":\"IEICE Communications Express\",\"volume\":\"14 9\",\"pages\":\"334-337\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2025-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11062678\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEICE Communications Express\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/11062678/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEICE Communications Express","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/11062678/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Trellis-Based Error-Correctable Shaping Method for Probabilistically-Shaped Quadrature Amplitude Modulation
This letter proposes the error-correctable shaping method based on the trellis diagram defined in enumerative sphere shaping (ESS), refer to trellis-based error-correctable ESS (TE-ESS), to mitigate one of the implementation issues in probabilistic amplitude shaping (PAS). To introduce the residual error detection and correction, TE-ESS modifies the trellis diagram of ESS to restrict the output amplitude sequence which correspond to even-or odd-parity. Numerical simulations show that TE-ESS outperforms the previously proposed error-correctable shaping method. In addition, Its error correction effectively alleviates the error floor requirement in FEC code, compared to using ESS, in low BER region.