{"title":"FRFT-OFDM系统分数阶鲁棒性","authors":"Pengfei Shi, Dongjie Qi, Miao Li, H. Huan","doi":"10.1109/ICCSN.2015.7296162","DOIUrl":null,"url":null,"abstract":"Fractional Fourier transform (FRFT) has been widely used in orthogonal frequency division (OFDM) systems to combat the doubly dispersive channels. The sensitivity of the fractional order is a serious problem. In this paper, we derive the closed form of the variable order and its optimal value based on the mathematical expression in the FRFT-OFDM systems. The theoretical results prove that the fractional order p = 0.5 is the global optimal fractional order for the FRFT-OFDM system in doubly dispersive channels. Furthermore, simulation results verify the robustness of fractional order 0.5 in the FRFT-OFDM systems.","PeriodicalId":319517,"journal":{"name":"2015 IEEE International Conference on Communication Software and Networks (ICCSN)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Robustness of fractional order for FRFT-OFDM systems\",\"authors\":\"Pengfei Shi, Dongjie Qi, Miao Li, H. Huan\",\"doi\":\"10.1109/ICCSN.2015.7296162\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fractional Fourier transform (FRFT) has been widely used in orthogonal frequency division (OFDM) systems to combat the doubly dispersive channels. The sensitivity of the fractional order is a serious problem. In this paper, we derive the closed form of the variable order and its optimal value based on the mathematical expression in the FRFT-OFDM systems. The theoretical results prove that the fractional order p = 0.5 is the global optimal fractional order for the FRFT-OFDM system in doubly dispersive channels. Furthermore, simulation results verify the robustness of fractional order 0.5 in the FRFT-OFDM systems.\",\"PeriodicalId\":319517,\"journal\":{\"name\":\"2015 IEEE International Conference on Communication Software and Networks (ICCSN)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Conference on Communication Software and Networks (ICCSN)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSN.2015.7296162\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Communication Software and Networks (ICCSN)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSN.2015.7296162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robustness of fractional order for FRFT-OFDM systems
Fractional Fourier transform (FRFT) has been widely used in orthogonal frequency division (OFDM) systems to combat the doubly dispersive channels. The sensitivity of the fractional order is a serious problem. In this paper, we derive the closed form of the variable order and its optimal value based on the mathematical expression in the FRFT-OFDM systems. The theoretical results prove that the fractional order p = 0.5 is the global optimal fractional order for the FRFT-OFDM system in doubly dispersive channels. Furthermore, simulation results verify the robustness of fractional order 0.5 in the FRFT-OFDM systems.