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.
|Title of host publication||2013 IEEE Information Theory Workshop (ITW)|
|Number of pages||5|
|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||IEEE Information Theory Workshop|
|Period||09/09/2013 → 13/09/2013|