Vector precoding in high dimensions: A replica analysis
Müller R, Guo D, Moustakas AL (2007)
Publication Status: Published
Publication Type: Conference contribution, Conference Contribution
Publication year: 2007
Pages Range: 2316-2320
Article Number: 4557565
Event location: Nice
ISBN: 9781424414291
DOI: 10.1109/ISIT.2007.4557565
Abstract
We apply the replica method to analyze vector pre-coding, a method to reduce transmit power in antenna array communications, in the limit of an infinite number of dimensions of the signal vector. 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 specialize our result to inversion of an i.i.d. channel and two cases of signal point optimization i) 2-point lattice pre-coding and ii) compact relaxation. In the two cases the replica symmetric transmitted energy is found to be 4.3 dB and 9.6 dB above the orthogonal case for a square channel matrix, respectively. ©2007 IEEE.
Authors with CRIS profile
Involved external institutions
Northwestern University
United States (USA) (US)
National and Kapodistrian University of Athens
Greece (GR)
United States (USA) (US)
National and Kapodistrian University of Athens
Greece (GR)
How to cite
APA:
Müller, R., Guo, D., & Moustakas, A.L. (2007). Vector precoding in high dimensions: A replica analysis. In Proceedings of the 2007 IEEE International Symposium on Information Theory, ISIT 2007 (pp. 2316-2320). Nice.
MLA:
Müller, Ralf, Dongning Guo, and Aris L. Moustakas. "Vector precoding in high dimensions: A replica analysis." Proceedings of the 2007 IEEE International Symposium on Information Theory, ISIT 2007, Nice 2007. 2316-2320.
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