{"title":"河道容量的Foschini下界的分布和百分位数","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":"{\"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}","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}
The distribution and percentiles of Foschini's lower bound for channel capacity
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