Vector Precoding for Wireless MIMO Systems: A Replica Analysis
Information Theory
2016-11-15 v1 Statistical Mechanics
math.IT
Abstract
We apply the replica method to analyze vector precoding, a method to reduce transmit power in antenna array communications. The analysis applies to a very general class of channel matrices. The statistics of the channel matrix enter the transmitted energy per symbol via its R-transform. We find that vector precoding performs much better for complex than for real alphabets. As a byproduct, we find a nonlinear precoding method with polynomial complexity that outperforms NP-hard Tomlinson-Harashima precoding for binary modulation on complex channels if the number of transmit antennas is slightly larger than twice the number of receive antennas.
Cite
@article{arxiv.0706.1169,
title = {Vector Precoding for Wireless MIMO Systems: A Replica Analysis},
author = {Ralf R. Mueller and Dongning Guo and Aris L. Moustakas},
journal= {arXiv preprint arXiv:0706.1169},
year = {2016}
}