{"title":"基于分数阶傅里叶变换的单载波与OFDM系统的比较","authors":"Z. Mokhtari, M. Sabbaghian","doi":"10.1109/IWCIT.2016.7491615","DOIUrl":null,"url":null,"abstract":"In this paper, we compare fractional Fourier transform orthogonal frequency division multiplexing (FrFT-OFDM) system and a single carrier (SC) system whose equalization is performed in the fractional Fourier domain which is called FrFT-SC. We first derive a tight upper bound for the interference power of the FrFT-SC signal in the fractional Fourier domain. Then, by obtaining the angle of transform which minimizes this tight upper bound, we derive a close approximation of the optimal angle of transform and show that it is similar to that of FrFT-OFDM system. Furthermore, we perform a comparative performance evaluation between the FrFT-OFDM and FrFT-SC systems from the bit error rate and peak to average power ratio (PAPR) point of views. The simulation results indicate that in a doubly dispersive channel, the FrFT-SC system significantly outperforms the FrFT-OFDM system when both systems utilize the near optimal angle of transform. Our comparison also shows that the PAPR of FrFT-OFDM system is significantly higher than that of FrFT-SC systems for all angles of transform between 0 and π.","PeriodicalId":414101,"journal":{"name":"2016 Iran Workshop on Communication and Information Theory (IWCIT)","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Comparison between fractional Fourier transform-based single carrier and OFDM systems\",\"authors\":\"Z. Mokhtari, M. Sabbaghian\",\"doi\":\"10.1109/IWCIT.2016.7491615\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we compare fractional Fourier transform orthogonal frequency division multiplexing (FrFT-OFDM) system and a single carrier (SC) system whose equalization is performed in the fractional Fourier domain which is called FrFT-SC. We first derive a tight upper bound for the interference power of the FrFT-SC signal in the fractional Fourier domain. Then, by obtaining the angle of transform which minimizes this tight upper bound, we derive a close approximation of the optimal angle of transform and show that it is similar to that of FrFT-OFDM system. Furthermore, we perform a comparative performance evaluation between the FrFT-OFDM and FrFT-SC systems from the bit error rate and peak to average power ratio (PAPR) point of views. The simulation results indicate that in a doubly dispersive channel, the FrFT-SC system significantly outperforms the FrFT-OFDM system when both systems utilize the near optimal angle of transform. Our comparison also shows that the PAPR of FrFT-OFDM system is significantly higher than that of FrFT-SC systems for all angles of transform between 0 and π.\",\"PeriodicalId\":414101,\"journal\":{\"name\":\"2016 Iran Workshop on Communication and Information Theory (IWCIT)\",\"volume\":\"31 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Iran Workshop on Communication and Information Theory (IWCIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCIT.2016.7491615\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Iran Workshop on Communication and Information Theory (IWCIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCIT.2016.7491615","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparison between fractional Fourier transform-based single carrier and OFDM systems
In this paper, we compare fractional Fourier transform orthogonal frequency division multiplexing (FrFT-OFDM) system and a single carrier (SC) system whose equalization is performed in the fractional Fourier domain which is called FrFT-SC. We first derive a tight upper bound for the interference power of the FrFT-SC signal in the fractional Fourier domain. Then, by obtaining the angle of transform which minimizes this tight upper bound, we derive a close approximation of the optimal angle of transform and show that it is similar to that of FrFT-OFDM system. Furthermore, we perform a comparative performance evaluation between the FrFT-OFDM and FrFT-SC systems from the bit error rate and peak to average power ratio (PAPR) point of views. The simulation results indicate that in a doubly dispersive channel, the FrFT-SC system significantly outperforms the FrFT-OFDM system when both systems utilize the near optimal angle of transform. Our comparison also shows that the PAPR of FrFT-OFDM system is significantly higher than that of FrFT-SC systems for all angles of transform between 0 and π.