Vector precoding for wireless MIMO systems and its replica analysis

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autor(en): Müller R, Guo D, Moustakas AL
Zeitschrift: IEEE Journal on Selected Areas in Communications
Verlag: Institute of Electrical and Electronics Engineers (IEEE)
Jahr der Veröffentlichung: 2008
Band: 26
Heftnummer: 3
Seitenbereich: 530-539
ISSN: 0733-8716


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.

FAU-Autoren / FAU-Herausgeber

Müller, Ralf Prof. Dr.-Ing.
Professur für Informationsübertragung


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.

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.


Zuletzt aktualisiert 2018-19-04 um 03:18