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https://doi.org/10.1214/105051606000000718
DC Field | Value | |
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dc.title | Asymptotic distributions of the signal-to-interference ratios of LMMSE detection in multiuser communications | |
dc.contributor.author | Pan, G.-M. | |
dc.contributor.author | Guo, M.-H. | |
dc.contributor.author | Zhou, W. | |
dc.date.accessioned | 2014-10-28T05:10:22Z | |
dc.date.available | 2014-10-28T05:10:22Z | |
dc.date.issued | 2007-02 | |
dc.identifier.citation | Pan, 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.issn | 10505164 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/105024 | |
dc.description.abstract | Let 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.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1214/105051606000000718 | |
dc.source | Scopus | |
dc.subject | Central limit theorems | |
dc.subject | Empirical distribution | |
dc.subject | Random matrices | |
dc.subject | Random quadratic forms | |
dc.subject | SIR | |
dc.subject | Stieltjes transform | |
dc.type | Article | |
dc.contributor.department | STATISTICS & APPLIED PROBABILITY | |
dc.description.doi | 10.1214/105051606000000718 | |
dc.description.sourcetitle | Annals of Applied Probability | |
dc.description.volume | 17 | |
dc.description.issue | 1 | |
dc.description.page | 181-206 | |
dc.identifier.isiut | 000244850700007 | |
Appears in Collections: | Staff Publications |
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