{"title":"The distribution and percentiles of Foschini's lower bound for channel capacity","authors":"C. Withers","doi":"10.1109/AUSCTW.2006.1625277","DOIUrl":null,"url":null,"abstract":"Foschini gave a lower bound for the channel capacity of an N-transmit M-receive antenna system in a Rayleigh fading environment with independence at both transmitters and receivers. We show that this bound is approximately normal and that its distribution has a non-standard Edgeworth-type expansion. This allows one to obtain non-standard Cornish-Fisher expansions for its percentiles and so obtain its distribution and outage levels for given probabilities","PeriodicalId":206040,"journal":{"name":"2006 Australian Communications Theory Workshop","volume":"389 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 Australian Communications Theory Workshop","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AUSCTW.2006.1625277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Foschini gave a lower bound for the channel capacity of an N-transmit M-receive antenna system in a Rayleigh fading environment with independence at both transmitters and receivers. We show that this bound is approximately normal and that its distribution has a non-standard Edgeworth-type expansion. This allows one to obtain non-standard Cornish-Fisher expansions for its percentiles and so obtain its distribution and outage levels for given probabilities