Accurate approximation of QAM error probability on quasi-static MIMO channels and its application to adaptive modulation

Fatma Kharrat-Kammoun, Sandrine Fontenelle, Joseph Boutros

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

An accurate approximation for the conditional error probability on quasi-static multiple-input multiple-output (MIMO) antenna channels is proposed. For a fixed channel matrix, it is possible to accurately predict the performance of quadrature amplitude modulations (QAM) transmitted over the MIMO channel in presence of additive white Gaussian noise. The tight approximation is based on a simple Union bound for the point error probability in the n-dimensional real space. Instead of making an exhaustive evaluation of all pairwise error probabilities (intractable in many cases), a Pohst or a Schnorr-Euchner lattice enumeration is used to limit the local theta series inside a finite radius sphere. The local theta series is derived from the original lattice theta series and the point position within the finite multidimensional QAM constellation. In particular, we take into account the number of constellation facets (hyperplanes) that are crossing the sphere center. As a direct application to the accurate approximation for the conditional error probability, we describe a new adaptive QAM modulation for quasi-static multiple antenna channels.

Original languageEnglish
Pages (from-to)1151-1160
Number of pages10
JournalIEEE Transactions on Information Theory
Volume53
Issue number3
DOIs
Publication statusPublished - 1 Mar 2007
Externally publishedYes

Fingerprint

Adaptive modulation
Quadrature amplitude modulation
Antennas
Modulation
Error probability
evaluation
performance

Keywords

  • Adaptive modulation
  • Lattice constellations
  • Multiple-input multiple-output (MIMO) antenna channels
  • Sphere decoding

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Information Systems

Cite this

Accurate approximation of QAM error probability on quasi-static MIMO channels and its application to adaptive modulation. / Kharrat-Kammoun, Fatma; Fontenelle, Sandrine; Boutros, Joseph.

In: IEEE Transactions on Information Theory, Vol. 53, No. 3, 01.03.2007, p. 1151-1160.

Research output: Contribution to journalArticle

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