Vector precoding for Gaussian MIMO broadcast channels: Impact of replica symmetry breaking

Journal article
(Original article)

Publication Details

Author(s): Zaidel BM, Müller R, Moustakas AL, De Miguel R
Journal: IEEE Transactions on Information Theory
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publication year: 2012
Volume: 58
Journal issue: 3
Pages range: 1413-1440
ISSN: 0018-9448


The "replica method" of statistical physics is employed for the large-system analysis of vector precoding for the Gaussian multiple-input multiple-output broadcast channel. The transmitter comprises a linear front-end combined with nonlinear precoding, minimizing transmit energy by means of input alphabet relaxation. For the common discrete lattice-based relaxation, the problem violates replica symmetry and a replica symmetry breaking (RSB) ansatz is taken. The limiting empirical distribution of the precoder's output and the limiting transmit energy are derived for one-step RSB. Particularizing to a "zero-forcing" (ZF) linear front-end, a decoupling result is derived. For discrete lattice-based relaxations, the impact of RSB is demonstrated for the transmit energy. The spectral efficiencies of the aforementioned precoding methods are compared to linear ZF and Tomlinson-Harashima precoding (THP). Focusing on quaternary phase shift-keying (QPSK), significant performance gains of both lattice and convex relaxations are revealed for medium to high signal-to-noise ratios (SNRs) when compared to linear ZF precoding. THP is shown to be outperformed as well. Comparing certain lattice-based relaxations for QPSK against a convex counterpart, the latter is found to be superior for low and high SNRs but slightly inferior for medium SNRs in terms of spectral efficiency. © 2012 IEEE.

FAU Authors / FAU Editors

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

External institutions with authors

National and Kapodistrian University of Athens
NTNU Trondheim - Norwegian University of Science and Technology

How to cite

Zaidel, B.M., Müller, R., Moustakas, A.L., & De Miguel, R. (2012). Vector precoding for Gaussian MIMO broadcast channels: Impact of replica symmetry breaking. IEEE Transactions on Information Theory, 58(3), 1413-1440.

Zaidel, Benjamin M., et al. "Vector precoding for Gaussian MIMO broadcast channels: Impact of replica symmetry breaking." IEEE Transactions on Information Theory 58.3 (2012): 1413-1440.


Last updated on 2018-19-10 at 21:50