{"title":"Nonparametric estimation of a class of smooth functions","authors":"M. Pawlak, U. Stadtmuller","doi":"10.1109/WITS.1994.513900","DOIUrl":null,"url":null,"abstract":"The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived.","PeriodicalId":423518,"journal":{"name":"Proceedings of 1994 Workshop on Information Theory and Statistics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 Workshop on Information Theory and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WITS.1994.513900","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived.
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