Vector precoding in high dimensions: A replica analysis

Ralf R. Müller, Dongning Guo, Aris L. Moustakas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationProceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
Pages2316-2320
Number of pages5
DOIs
StatePublished - Dec 1 2007
Event2007 IEEE International Symposium on Information Theory, ISIT 2007 - Nice, France
Duration: Jun 24 2007Jun 29 2007

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
ISSN (Print)2157-8101

Other

Other2007 IEEE International Symposium on Information Theory, ISIT 2007
CountryFrance
CityNice
Period6/24/076/29/07

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Müller, R. R., Guo, D., & Moustakas, A. L. (2007). Vector precoding in high dimensions: A replica analysis. In Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007 (pp. 2316-2320). [4557565] (IEEE International Symposium on Information Theory - Proceedings). https://doi.org/10.1109/ISIT.2007.4557565