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

Zaidel BM, Müller R, Moustakas AL, De Miguel R (2012)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2012

Journal

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 58

Pages Range: 1413-1440

Article Number: 6157078

Journal Issue: 3

DOI: 10.1109/TIT.2011.2178154

Abstract

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.

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APA:

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. https://dx.doi.org/10.1109/TIT.2011.2178154

MLA:

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.

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