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Connecting DMT of Division Algebra Space-Time Codes and Point Counting in Lie Groups




TekijätRoope Vehkalahti, Laura Luzzi

Julkaisuvuosi2012

JournalIEEE International Symposium on Information Theory

Kokoomateoksen nimiIEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY

Tietokannassa oleva lehden nimi2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT)

Lehden akronyymiIEEE INT SYMP INFO

Aloitussivu338

Lopetussivu342

Sivujen määrä5

ISBN978-1-4673-2579-0


Tiivistelmä
Earlier it was proven by Vehkalahti and Lu how the unit group and diversity-multiplexing gain trade-off ( DMT) of division algebra-based space-time codes are linked to each other through inverse determinant sums. This work explores this relation further, showing that indeed the density of unit group completely determines the growth of the inverse determinant sum. In particular, in the case of Q(i)-central division algebras, the lower bound obtained from the DMT and the upper bound derived from the growth rate of units coincide.



Last updated on 2024-26-11 at 20:35