{"title":"基于b样条的超宽带脉冲设计","authors":"Mitsuhiro Matsuo, M. Kamada, H. Habuchi","doi":"10.1109/ISCAS.2005.1465863","DOIUrl":null,"url":null,"abstract":"The paper discusses the construction of UWB pulses on the basis of B-splines under the following conditions: (i) the B-splines are time-limited piecewise polynomials; (ii) the pulses are rectangular when their order is one and they converge to band-limited functions at the limit that their order tends to infinity; (iii) an analog circuit and a fast digital filter exist for the generation of B-splines. A constrained minimization technique is proposed for designing pulses so as to comply with the FCC spectral mask and satisfy basic requirements for UWB pulses.","PeriodicalId":191200,"journal":{"name":"2005 IEEE International Symposium on Circuits and Systems","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"21","resultStr":"{\"title\":\"Design of UWB pulses based on B-splines\",\"authors\":\"Mitsuhiro Matsuo, M. Kamada, H. Habuchi\",\"doi\":\"10.1109/ISCAS.2005.1465863\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper discusses the construction of UWB pulses on the basis of B-splines under the following conditions: (i) the B-splines are time-limited piecewise polynomials; (ii) the pulses are rectangular when their order is one and they converge to band-limited functions at the limit that their order tends to infinity; (iii) an analog circuit and a fast digital filter exist for the generation of B-splines. A constrained minimization technique is proposed for designing pulses so as to comply with the FCC spectral mask and satisfy basic requirements for UWB pulses.\",\"PeriodicalId\":191200,\"journal\":{\"name\":\"2005 IEEE International Symposium on Circuits and Systems\",\"volume\":\"6 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-05-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"21\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2005 IEEE International Symposium on Circuits and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISCAS.2005.1465863\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2005 IEEE International Symposium on Circuits and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISCAS.2005.1465863","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The paper discusses the construction of UWB pulses on the basis of B-splines under the following conditions: (i) the B-splines are time-limited piecewise polynomials; (ii) the pulses are rectangular when their order is one and they converge to band-limited functions at the limit that their order tends to infinity; (iii) an analog circuit and a fast digital filter exist for the generation of B-splines. A constrained minimization technique is proposed for designing pulses so as to comply with the FCC spectral mask and satisfy basic requirements for UWB pulses.