{"title":"高斯噪声中两个正弦波包络PDF的最优拉盖尔展开","authors":"A. Abdi, S. Nader-Esfahani","doi":"10.1109/SECON.1996.510048","DOIUrl":null,"url":null,"abstract":"The sum of two randomly-phased sine waves and Gaussian noise arises in various fields of communications. A Laguerre series and also a power series are introduced, for the envelope PDF of this random process. Moreover, tight upper bounds are derived for the truncation error of these two infinite series. Comparison of these two upper bounds show that the Laguerre series is superior to the power series; because for a fixed number of terms, it yields minimum truncation error.","PeriodicalId":338029,"journal":{"name":"Proceedings of SOUTHEASTCON '96","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"An optimum Laguerre expansion for the envelope PDF of two sine waves in Gaussian noise\",\"authors\":\"A. Abdi, S. Nader-Esfahani\",\"doi\":\"10.1109/SECON.1996.510048\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The sum of two randomly-phased sine waves and Gaussian noise arises in various fields of communications. A Laguerre series and also a power series are introduced, for the envelope PDF of this random process. Moreover, tight upper bounds are derived for the truncation error of these two infinite series. Comparison of these two upper bounds show that the Laguerre series is superior to the power series; because for a fixed number of terms, it yields minimum truncation error.\",\"PeriodicalId\":338029,\"journal\":{\"name\":\"Proceedings of SOUTHEASTCON '96\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-04-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of SOUTHEASTCON '96\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SECON.1996.510048\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of SOUTHEASTCON '96","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SECON.1996.510048","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An optimum Laguerre expansion for the envelope PDF of two sine waves in Gaussian noise
The sum of two randomly-phased sine waves and Gaussian noise arises in various fields of communications. A Laguerre series and also a power series are introduced, for the envelope PDF of this random process. Moreover, tight upper bounds are derived for the truncation error of these two infinite series. Comparison of these two upper bounds show that the Laguerre series is superior to the power series; because for a fixed number of terms, it yields minimum truncation error.
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