A new design criterion for spherically-shaped division algebra-based space-time codes

Laura Luzzi*, Roope Vehkalahti

*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussaConference contributionScientificvertaisarvioitu

2 Sitaatiot (Scopus)


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.

Otsikko2013 IEEE Information Theory Workshop (ITW)
ISBN (elektroninen)978-1-4799-1323-7
ISBN (painettu)978-1-4799-1321-3
DOI - pysyväislinkit
TilaJulkaistu - 2013
OKM-julkaisutyyppiA4 Artikkeli konferenssijulkaisuussa
TapahtumaIEEE Information Theory Workshop - Seville, Espanja
Kesto: 9 syyskuuta 201313 syyskuuta 2013


WorkshopIEEE Information Theory Workshop

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