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Vector Precoding for Gaussian MIMO Broadcast Channels: Impact of Replica Symmetry Breaking by Zaidel, Benjamin; Mueller, Ralf; Moustakas, Aris; de Miguel, Rodrigo is a scholarly article available to read on EtoBox.

What is Vector Precoding for Gaussian MIMO Broadcast Channels: Impact of Replica Symmetry Breaking about?

The so-called "replica method" of statistical physics is employed for the large system analysis of vector precoding for the Gaussian multiple-input multiple-output (MIMO) broadcast channel. The transmitter is assumed to comprise a linear front-end combined with nonlinear precoding, that minimizes the front-end imposed transmit energy penalty. Focusing on discrete complex input alphabets, the energy penalty is minimized by relaxing the input alphabet to a larger alphabet set prior to precoding. For the common discrete lattice-based relaxation, the problem is found to violate the assumption of replica symmetry and a replica symmetry breaking ansatz is taken. The limiting empirical distribution of the precoder's output, as well as the limiting energy penalty, are derived for one-step replica symmetry breaking. For convex relaxations, replica symmetry is found to hold and corresponding results are obtained for comparison. Particularizing to a "zero-forcing" (ZF) linear front-end, and non-cooperative users, a decoupling result is derived according to which the channel observed by each of the individual receivers can be effectively characterized by the Markov chain u-x-y, where u, x, and

Author

Zaidel, Benjamin; Mueller, Ralf; Moustakas, Aris; de Miguel, Rodrigo

Published

2010

Language

EN