{"title":"一个复高斯分布和两个复高斯分布的乘积的分布","authors":"T. Betlehem, A. Coulson","doi":"10.1109/AusCTW.2012.6164918","DOIUrl":null,"url":null,"abstract":"The probability density function of sum of a complex Gaussian and the product of two complex Gaussians is derived. This distribution occurs in wireless communications where Gaussian signals are transmitted over Rayleigh channels. The result is validated using the Kolmogorov-Smirnov distance and the accuracy of several approximations are compared, including fitted gamma and Nakagami distributions.","PeriodicalId":320391,"journal":{"name":"2012 Australian Communications Theory Workshop (AusCTW)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Distribution of the sum of a complex Gaussian and the product of two complex Gaussians\",\"authors\":\"T. Betlehem, A. Coulson\",\"doi\":\"10.1109/AusCTW.2012.6164918\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The probability density function of sum of a complex Gaussian and the product of two complex Gaussians is derived. This distribution occurs in wireless communications where Gaussian signals are transmitted over Rayleigh channels. The result is validated using the Kolmogorov-Smirnov distance and the accuracy of several approximations are compared, including fitted gamma and Nakagami distributions.\",\"PeriodicalId\":320391,\"journal\":{\"name\":\"2012 Australian Communications Theory Workshop (AusCTW)\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-03-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Australian Communications Theory Workshop (AusCTW)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AusCTW.2012.6164918\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Australian Communications Theory Workshop (AusCTW)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AusCTW.2012.6164918","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Distribution of the sum of a complex Gaussian and the product of two complex Gaussians
The probability density function of sum of a complex Gaussian and the product of two complex Gaussians is derived. This distribution occurs in wireless communications where Gaussian signals are transmitted over Rayleigh channels. The result is validated using the Kolmogorov-Smirnov distance and the accuracy of several approximations are compared, including fitted gamma and Nakagami distributions.