Please use this identifier to cite or link to this item: https://doi.org/10.1214/105051606000000718
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dc.titleAsymptotic distributions of the signal-to-interference ratios of LMMSE detection in multiuser communications
dc.contributor.authorPan, G.-M.
dc.contributor.authorGuo, M.-H.
dc.contributor.authorZhou, W.
dc.date.accessioned2014-10-28T05:10:22Z
dc.date.available2014-10-28T05:10:22Z
dc.date.issued2007-02
dc.identifier.citationPan, G.-M., Guo, M.-H., Zhou, W. (2007-02). Asymptotic distributions of the signal-to-interference ratios of LMMSE detection in multiuser communications. Annals of Applied Probability 17 (1) : 181-206. ScholarBank@NUS Repository. https://doi.org/10.1214/105051606000000718
dc.identifier.issn10505164
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/105024
dc.description.abstractLet sk = 1/√N (v1k,...,vNk) T, k = 1,..., K, where [vik, i, k = 1,...} are independent and identically distributed random variables with Ev11 =0 and Ev 11 2 = 1. Let Sk = (S1,...,s k-1, sk+1,...,sK), Pk = diag(p 1,..., pk-1, pk+1,...,pK) and βk = pksk T(SkP kSk T + σ2I)-1 sk, where pk ≥ 0 and the βk is referred to as the signal-to-interference ratio (SIR) of user k with linear minimum mean-square error (LMMSE) detection in wireless communications. The joint distribution of the SIRs for a finite number of users and the empirical distribution of all users' SIRs are both investigated in this paper when K and N tend, to infinity with the limit of their ratio being positive constant. Moreover, the sum of the SIRs of all users, after subtracting a proper value, is shown to have a Gaussian limit. © Institute of Mathematical Statistics, 2007.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1214/105051606000000718
dc.sourceScopus
dc.subjectCentral limit theorems
dc.subjectEmpirical distribution
dc.subjectRandom matrices
dc.subjectRandom quadratic forms
dc.subjectSIR
dc.subjectStieltjes transform
dc.typeArticle
dc.contributor.departmentSTATISTICS & APPLIED PROBABILITY
dc.description.doi10.1214/105051606000000718
dc.description.sourcetitleAnnals of Applied Probability
dc.description.volume17
dc.description.issue1
dc.description.page181-206
dc.identifier.isiut000244850700007
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