Le code spatio-temporel d'Aladin-Pythagore

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

Joseph J. Boutros, Hugues Randriambololona

Research output: Contribution to journalArticle


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
Issue number2
Publication statusPublished - 1 Dec 2010



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

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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