TY - GEN

T1 - Vector precoding in high dimensions

T2 - 2007 IEEE International Symposium on Information Theory, ISIT 2007

AU - Müller, Ralf R.

AU - Guo, Dongning

AU - Moustakas, Aris L.

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=51649084281&partnerID=8YFLogxK

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U2 - 10.1109/ISIT.2007.4557565

DO - 10.1109/ISIT.2007.4557565

M3 - Conference contribution

AN - SCOPUS:51649084281

SN - 1424414296

SN - 9781424414291

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 2316

EP - 2320

BT - Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007

Y2 - 24 June 2007 through 29 June 2007

ER -