{"title":"Filtering behavior of iterated symmetric weighted threshold filters for bounded sequences","authors":"Wanzhou Ye, Chengfeng Yu","doi":"10.1109/ICIST.2011.5765302","DOIUrl":null,"url":null,"abstract":"The symmetric weighted threshold filters is a generalization of rank order filters. In this paper, we study filtering behavior of iterated symmetric weighted threshold filters for bounded sequences and prove that iterated sequences with even index as well as iterated sequences with odd index both converge, and these limiting sequences are either roots of these filters or their recurrent sequences.","PeriodicalId":6408,"journal":{"name":"2009 International Conference on Environmental Science and Information Application Technology","volume":"2 1","pages":"511-515"},"PeriodicalIF":0.0000,"publicationDate":"2011-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Environmental Science and Information Application Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIST.2011.5765302","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The symmetric weighted threshold filters is a generalization of rank order filters. In this paper, we study filtering behavior of iterated symmetric weighted threshold filters for bounded sequences and prove that iterated sequences with even index as well as iterated sequences with odd index both converge, and these limiting sequences are either roots of these filters or their recurrent sequences.
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