Vector Precoding for Wireless MIMO Systems: A Replica Analysis
arXiv:0706.1169 · doi:10.1109/JSAC.2008.080411
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.
21 pages, 8 figures, submitted for publication to "IEEE JSAC Special Issue on Multiuser Detection for Advanced Communication Systems and Networks"
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