{"title":"工作频带外能量最小的信号合成变分法","authors":"I. Lesovoy, I. Makarov","doi":"10.1109/TCSET49122.2020.235577","DOIUrl":null,"url":null,"abstract":"Is shown that the synthesis of a signal of the optimal shape is an extreme task, the variation nature of which allows us to apply ideas and methods of functional analysis to solve it. To study functional extreme properties, calculus of variations is applied. The obtained expression describes the shape of an elementary signal of finite duration with minimum energy outside the working frequency band.","PeriodicalId":389689,"journal":{"name":"2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Variation Approach to Signal Synthesis with Minimal Energy Outside the Operating Frequency Band\",\"authors\":\"I. Lesovoy, I. Makarov\",\"doi\":\"10.1109/TCSET49122.2020.235577\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Is shown that the synthesis of a signal of the optimal shape is an extreme task, the variation nature of which allows us to apply ideas and methods of functional analysis to solve it. To study functional extreme properties, calculus of variations is applied. The obtained expression describes the shape of an elementary signal of finite duration with minimum energy outside the working frequency band.\",\"PeriodicalId\":389689,\"journal\":{\"name\":\"2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TCSET49122.2020.235577\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE 15th International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TCSET49122.2020.235577","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Variation Approach to Signal Synthesis with Minimal Energy Outside the Operating Frequency Band
Is shown that the synthesis of a signal of the optimal shape is an extreme task, the variation nature of which allows us to apply ideas and methods of functional analysis to solve it. To study functional extreme properties, calculus of variations is applied. The obtained expression describes the shape of an elementary signal of finite duration with minimum energy outside the working frequency band.