{"title":"The optimum approximation of signals having quite small side-lobes","authors":"Y. Kida, T. Kida","doi":"10.1109/ISITA.2008.4895626","DOIUrl":null,"url":null,"abstract":"We consider set of signals with a main-lobe and a pair of small side-lobes. Weighted square-integral of the main-lobe is assumed to be bounded. Moreover, in order to define divergence of side-lobes of error in the sense of worst-case amplitude in attenuation band, we introduce a measure like Kullback-Leibler divergence and this measure is assumed to be bounded. We prove that the presented approximation minimizes various measures of error of running approximation at the same time.","PeriodicalId":338675,"journal":{"name":"2008 International Symposium on Information Theory and Its Applications","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 International Symposium on Information Theory and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISITA.2008.4895626","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We consider set of signals with a main-lobe and a pair of small side-lobes. Weighted square-integral of the main-lobe is assumed to be bounded. Moreover, in order to define divergence of side-lobes of error in the sense of worst-case amplitude in attenuation band, we introduce a measure like Kullback-Leibler divergence and this measure is assumed to be bounded. We prove that the presented approximation minimizes various measures of error of running approximation at the same time.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
