Vector precoding for wireless MIMO systems and its replica analysis

Müller R, Guo D, Moustakas AL (2008)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2008

Journal

IEEE Journal on Selected Areas in Communications Institute of Electrical and Electronics Engineers (IEEE)

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 26

Pages Range: 530-539

Article Number: 4481377

Journal Issue: 3

DOI: 10.1109/JSAC.2008.080411

Abstract

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. © 2008 IEEE.

Authors with CRIS profile

Ralf Müller Professur für Informationsübertragung

Involved external institutions

Northwestern University

United States (USA) (US) National and Kapodistrian University of Athens

Greece (GR)

How to cite

APA:

Müller, R., Guo, D., & Moustakas, A.L. (2008). Vector precoding for wireless MIMO systems and its replica analysis. IEEE Journal on Selected Areas in Communications, 26(3), 530-539. https://doi.org/10.1109/JSAC.2008.080411

MLA:

Müller, Ralf, Dongning Guo, and Aris L. Moustakas. "Vector precoding for wireless MIMO systems and its replica analysis." IEEE Journal on Selected Areas in Communications 26.3 (2008): 530-539.

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