{"title":"Optimal dual frames and dual pairs for probability modelled erasures","authors":"S. Arati, P. Devaraj, Shankhadeep Mondal","doi":"10.1007/s43036-023-00314-5","DOIUrl":null,"url":null,"abstract":"<div><p>The central focus of this paper is the analysis of optimal dual frames for a given frame as well as optimal dual pairs, in light of a probability model-based erasure during the transmission of the frame coefficients corresponding to the data. We consider these two broad and different contexts of the erasure problem and analyze each of them, with the optimality measure taken to be the spectral radius as well as the operator norm of the associated error operators.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"9 2","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-023-00314-5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The central focus of this paper is the analysis of optimal dual frames for a given frame as well as optimal dual pairs, in light of a probability model-based erasure during the transmission of the frame coefficients corresponding to the data. We consider these two broad and different contexts of the erasure problem and analyze each of them, with the optimality measure taken to be the spectral radius as well as the operator norm of the associated error operators.
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
