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 |
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| 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 |
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| Abbreviated title | ITW |
| Country | Spain |
| City | Seville |
| Period | 09/09/2013 → 13/09/2013 |