Vector precoding in high dimensions: A replica analysis

Conference contribution
(Conference Contribution)


Publication Details

Author(s): Müller R, Guo D, Moustakas AL
Publication year: 2007
Pages range: 2316-2320
ISBN: 9781424414291


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.


FAU Authors / FAU Editors

Müller, Ralf Prof. Dr.-Ing.
Professur für Informationsübertragung


External institutions with authors

National and Kapodistrian University of Athens
Northwestern University


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.

BibTeX: 

Last updated on 2019-16-04 at 03:23