{"title":"Error bounds on the Rayleigh approximation of the K-distribution","authors":"G. V. Weinberg","doi":"10.1049/iet-spr.2014.0364","DOIUrl":null,"url":null,"abstract":"It is a well-known property in X-band maritime surveillance radar signal processing that the K-distribution limits to a Rayleigh as its shape parameter increases, justifying the Rayleigh approximation of the K-distribution in certain scenarios. In the analysis of real data, it has been observed that this approximation tends to be valid for shape parameters >20. Using Stein's method, it is possible to construct explicit bounds on the distributional differences to quantify this observation.","PeriodicalId":272888,"journal":{"name":"IET Signal Process.","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IET Signal Process.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1049/iet-spr.2014.0364","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
It is a well-known property in X-band maritime surveillance radar signal processing that the K-distribution limits to a Rayleigh as its shape parameter increases, justifying the Rayleigh approximation of the K-distribution in certain scenarios. In the analysis of real data, it has been observed that this approximation tends to be valid for shape parameters >20. Using Stein's method, it is possible to construct explicit bounds on the distributional differences to quantify this observation.
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