{"title":"自动编码器为 5-7 比特/符号设计的几何形状四维调制格式","authors":"Akira Naka;Mamoru Komatsu","doi":"10.23919/comex.2023XBL0179","DOIUrl":null,"url":null,"abstract":"We design geometrically shaped four-dimensional (4D) modulation formats for 5–7 bits/4D symbol with an autoencoder, which is one of the deep learning applications, using pre-training with 4D formats based on 2-ary amplitude 8-ary phase-shift keying. The numerical evaluation shows that the obtained 4D modulation formats have 0.5-0.7dB signal-to-noise sensitivity gains in terms of normalized generalized mutual information (NGMI) as well as bit error ratio (BER) performances. Furthermore, we show the NGMI and BER performances of these 4D modulation formats are almost equivalent to those of probabilistic amplitude shaping with enumerative sphere shaping with a block length of 20.","PeriodicalId":54101,"journal":{"name":"IEICE Communications Express","volume":"13 4","pages":"106-109"},"PeriodicalIF":0.3000,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10439036","citationCount":"0","resultStr":"{\"title\":\"Geometrically Shaped Four-Dimensional Modulation Formats for 5–7 Bits/Symbol Designed by Autoencoder\",\"authors\":\"Akira Naka;Mamoru Komatsu\",\"doi\":\"10.23919/comex.2023XBL0179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We design geometrically shaped four-dimensional (4D) modulation formats for 5–7 bits/4D symbol with an autoencoder, which is one of the deep learning applications, using pre-training with 4D formats based on 2-ary amplitude 8-ary phase-shift keying. The numerical evaluation shows that the obtained 4D modulation formats have 0.5-0.7dB signal-to-noise sensitivity gains in terms of normalized generalized mutual information (NGMI) as well as bit error ratio (BER) performances. Furthermore, we show the NGMI and BER performances of these 4D modulation formats are almost equivalent to those of probabilistic amplitude shaping with enumerative sphere shaping with a block length of 20.\",\"PeriodicalId\":54101,\"journal\":{\"name\":\"IEICE Communications Express\",\"volume\":\"13 4\",\"pages\":\"106-109\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-02-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=10439036\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEICE Communications Express\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10439036/\",\"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/10439036/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Geometrically Shaped Four-Dimensional Modulation Formats for 5–7 Bits/Symbol Designed by Autoencoder
We design geometrically shaped four-dimensional (4D) modulation formats for 5–7 bits/4D symbol with an autoencoder, which is one of the deep learning applications, using pre-training with 4D formats based on 2-ary amplitude 8-ary phase-shift keying. The numerical evaluation shows that the obtained 4D modulation formats have 0.5-0.7dB signal-to-noise sensitivity gains in terms of normalized generalized mutual information (NGMI) as well as bit error ratio (BER) performances. Furthermore, we show the NGMI and BER performances of these 4D modulation formats are almost equivalent to those of probabilistic amplitude shaping with enumerative sphere shaping with a block length of 20.