Le code spatio-temporel d'Aladin-Pythagore

Translated title of the contribution: The Aladdin-Pythagoras space-time code

Joseph Boutros, Hugues Randriambololona

Research output: Contribution to journalArticle

Abstract

We study linear unitary precoding for multiple antenna transmissions. Our aim is to find a new precoder satisfying both the genie conditions and the non-vanishing determinant criterion. Such a precoder will be optimized for both maximum likelihood and iterative probabilistic decoding. By combining the rank criterion and the genie conditions, we propose a new family of space-time codes over ℤ[i] defined by Pythagorean triples. In this family, the space-time code associated with the triple (3,4,5) - or with the quaternion algebra - is optimal. We will refer to it as Aladdin-Pythagoras, or more simply, Aladdin's Code.

Original languageFrench
Pages (from-to)147-160
Number of pages14
JournalTraitement du Signal
Volume27
Issue number2
DOIs
Publication statusPublished - 1 Dec 2010

Fingerprint

Space time codes
Algebra
Maximum likelihood
Decoding
Antennas

Keywords

  • Genie conditions
  • Iterative probabilistic decoding
  • Quaternion algebra
  • Rank criterion
  • Space-time coding

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Le code spatio-temporel d'Aladin-Pythagore. / Boutros, Joseph; Randriambololona, Hugues.

In: Traitement du Signal, Vol. 27, No. 2, 01.12.2010, p. 147-160.

Research output: Contribution to journalArticle

Boutros, Joseph ; Randriambololona, Hugues. / Le code spatio-temporel d'Aladin-Pythagore. In: Traitement du Signal. 2010 ; Vol. 27, No. 2. pp. 147-160.
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