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Vector precoding for wireless MIMO systems and its replica analysis

delete2008-04-01
delete106
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OA
AI
R
Ralf R. Müller *
D
Dongning Guo
A
Aris L. Moustakas
DOI:10.1109/JSAC.2008.080411delete
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Abstract

Abstract

En 中文
This paper studies a nonlinear vector precoding scheme which inverts the wireless multiple-input multiple-output (MIMO) channel at the transmitter so that simple symbol-by-symbol detection can be used in lieu of sophisticated multiuser detection at the receiver. In particular, the transmit energy is minimized by relaxing the transmitted symbols to a larger alphabet for precoding, which preserves the minimum signaling distance. The so-called replica method is used to analyze the average energy savings with random MIMO channels in the large-system limit. It is found that significant gains can be achieved with complex-valued alphabets. The analysis applies to a very general class of MIMO channels, where the statistics of the channel matrix enter the result via the R-transform of the asymptotic empirical distribution of its eigenvalues. Moreover, we introduce polynomial -complexity precoding schemes for binary and quadrature phase-shift keying in complex channels by using convex rather than discrete relaxed alphabets. In case the number of transmit antennas is more than twice the number of receive antennas, we show that a convex precoding scheme, despite its polynomial complexity, outperforms NP-hard precoding using the popular Tomlinson-Harashima signaling.
Keywords:
multiple antennas
multiple-input multipleoutput
(MIMO) systems
spatial equalization
Tomlinson-Harashima
precoding
replica method
random matrices
R-transform

Journal

IEEE Journal on Selected Areas in Communications cover
IEEE Journal on Selected Areas in Communications
IF:
17.2
Papers:
6.4K
Citations:
3.1W

Organization

N
Northwestern University
Scholars:
6.1W
Papers: 5.3W
Citations: 3.9K