## Abstract

This work considers normalized inverse determinant sums as a tool for analyzing the performance of division algebra based space-time codes for multiple antenna wireless systems. A general union bound based code design criterion is obtained as a main result.

In our previous work, the behavior of inverse determinant sums was analyzed using point counting techniques for Lie groups; it was shown that the asymptotic growth exponents of these sums correctly describe the diversity-multiplexing gain trade-off of the space-time code for some multiplexing gain ranges. This paper focuses on the constant terms of the inverse determinant sums, which capture the coding gain behavior. Pursuing the Lie group approach, a tighter asymptotic bound is derived, allowing to compute the constant terms for several classes of space-time codes appearing in the literature.

The resulting design criterion suggests that the performance of division algebra based codes depends on several fundamental algebraic invariants of the underlying algebra.

Original language | English |
---|---|

Title of host publication | 2013 IEEE Information Theory Workshop (ITW) |

Publisher | IEEE |

Number of pages | 5 |

ISBN (Electronic) | 978-1-4799-1323-7 |

ISBN (Print) | 978-1-4799-1321-3 |

DOIs | |

Publication status | Published - 2013 |

MoE publication type | A4 Article in a conference publication |

Event | IEEE Information Theory Workshop - Seville, Spain Duration: 9 Sep 2013 → 13 Sep 2013 |

### Workshop

Workshop | IEEE Information Theory Workshop |
---|---|

Abbreviated title | ITW |

Country | Spain |

City | Seville |

Period | 09/09/2013 → 13/09/2013 |