{"title":"秩滤波器的局部收敛性与摄动定理","authors":"Wanzhou Ye, J. Ma","doi":"10.1109/ICICIP.2014.7010271","DOIUrl":null,"url":null,"abstract":"Rank filters are very useful nonlinear filters. They are usually easy to implement and perform well in many situations in which linear filters fail. Compared to the theory of linear filters, their theory is very poor. In this paper, we study a theoretical problem on rank filters-the locally convergence of rank filters, and give a sufficient condition on locally convergence of rank filters. Moreover, we study the convergence of perturbed sequences on rank filters.","PeriodicalId":408041,"journal":{"name":"Fifth International Conference on Intelligent Control and Information Processing","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Locally convergence of rank filters and perturbation theorem\",\"authors\":\"Wanzhou Ye, J. Ma\",\"doi\":\"10.1109/ICICIP.2014.7010271\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Rank filters are very useful nonlinear filters. They are usually easy to implement and perform well in many situations in which linear filters fail. Compared to the theory of linear filters, their theory is very poor. In this paper, we study a theoretical problem on rank filters-the locally convergence of rank filters, and give a sufficient condition on locally convergence of rank filters. Moreover, we study the convergence of perturbed sequences on rank filters.\",\"PeriodicalId\":408041,\"journal\":{\"name\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth International Conference on Intelligent Control and Information Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2014.7010271\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth International Conference on Intelligent Control and Information Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2014.7010271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Locally convergence of rank filters and perturbation theorem
Rank filters are very useful nonlinear filters. They are usually easy to implement and perform well in many situations in which linear filters fail. Compared to the theory of linear filters, their theory is very poor. In this paper, we study a theoretical problem on rank filters-the locally convergence of rank filters, and give a sufficient condition on locally convergence of rank filters. Moreover, we study the convergence of perturbed sequences on rank filters.