{"title":"Characterization of max-min fair performance in large networks via Szemeredi's Regularity Lemma","authors":"M. Wiczanowski, H. Boche, S. Stańczak","doi":"10.1109/ISIT.2007.4557218","DOIUrl":null,"url":null,"abstract":"In this work, we provide asymptotically almost sure lower and upper bounds on the max-min fair performance in large single-hop networks with arbitrary channel fading. Our results are asymptotic in nature and we consider two cases of the limiting regime where the number of links (users) tends to infinity. The provided bounds apply to orthogonal networks as well as to a special class of nonorthogonal networks.","PeriodicalId":193467,"journal":{"name":"2007 IEEE International Symposium on Information Theory","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2007.4557218","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
In this work, we provide asymptotically almost sure lower and upper bounds on the max-min fair performance in large single-hop networks with arbitrary channel fading. Our results are asymptotic in nature and we consider two cases of the limiting regime where the number of links (users) tends to infinity. The provided bounds apply to orthogonal networks as well as to a special class of nonorthogonal networks.