{"title":"(sin^2x)/x的极值的位置和振幅的数值计算和近似","authors":"J. Le Bihan","doi":"10.1109/iccgi.2006.1690290","DOIUrl":null,"url":null,"abstract":"Expressions of the form (sin2x)/x may occur in engineering problems, for instance in signal processing or communications. In this paper, we show that the locations and the amplitudes of the extrema of this function, when expressed under the form of series expansions, can be fastly calculated through recursion formulae. Moreover, very simple accurate algebraic expressions can be derived for evaluating these locations and amplitudes","PeriodicalId":112974,"journal":{"name":"2006 International Multi-Conference on Computing in the Global Information Technology - (ICCGI'06)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical computation and approximation of the locations and amplitudes of the extrema of (sin^2x)/x\",\"authors\":\"J. Le Bihan\",\"doi\":\"10.1109/iccgi.2006.1690290\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Expressions of the form (sin2x)/x may occur in engineering problems, for instance in signal processing or communications. In this paper, we show that the locations and the amplitudes of the extrema of this function, when expressed under the form of series expansions, can be fastly calculated through recursion formulae. Moreover, very simple accurate algebraic expressions can be derived for evaluating these locations and amplitudes\",\"PeriodicalId\":112974,\"journal\":{\"name\":\"2006 International Multi-Conference on Computing in the Global Information Technology - (ICCGI'06)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 International Multi-Conference on Computing in the Global Information Technology - (ICCGI'06)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/iccgi.2006.1690290\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 International Multi-Conference on Computing in the Global Information Technology - (ICCGI'06)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/iccgi.2006.1690290","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical computation and approximation of the locations and amplitudes of the extrema of (sin^2x)/x
Expressions of the form (sin2x)/x may occur in engineering problems, for instance in signal processing or communications. In this paper, we show that the locations and the amplitudes of the extrema of this function, when expressed under the form of series expansions, can be fastly calculated through recursion formulae. Moreover, very simple accurate algebraic expressions can be derived for evaluating these locations and amplitudes
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