Asymptotic Eigenvalue Moments for Linear Multiuser Detection (2001) [12 citations — 2 self]
by
Linbo Li
,
Antonia M. Tulino
,
Sergio Verdú
Communications in Information and Systems
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@ARTICLE{Li01asymptoticeigenvalue,
author = {Linbo Li and Antonia M. Tulino and Sergio Verdú},
title = {Asymptotic Eigenvalue Moments for Linear Multiuser Detection},
journal = {Communications in Information and Systems},
year = {2001},
volume = {1},
pages = {273--304}
}
author = {Linbo Li and Antonia M. Tulino and Sergio Verdú},
title = {Asymptotic Eigenvalue Moments for Linear Multiuser Detection},
journal = {Communications in Information and Systems},
year = {2001},
volume = {1},
pages = {273--304}
}
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Abstract:
Using the theory of lattices of non-crossing partitions, an explicit expression for the moments and free cumulants of the asymptotic distribution of certain infinite random matrices is obtained and extended to several cases. From the explicit expression, we give a self-contained proof of the Tse-Hanly formula for the output signal-to-interference-plus-noise ratio of MMSE multiuser detector. We use the moment results to design an asymptotic reduced-rank linear multiuser detector. Also we apply these results to analyze linear-conjugate MMSE receivers and multiple antenna receivers.
