TY - GEN
T1 - An algebraic look into MAC-DMT of lattice space-time codes
AU - Vehkalahti, Roope
AU - Lu, Francis
PY - 2011/10/26
Y1 - 2011/10/26
N2 - In this paper we are concentrating on the diversity-multiplexing gain trade-off (DMT) of some space-time lattice codes. First we give a DMT bound for lattice codes having restricted dimension. We then recover the well known results of the DMT of algebraic number field codes and the Alamouti code by using the union bound and see that these codes do achieve the previously mentioned bound. During our analysis interesting connections to the Dedekind's zeta-function and to Dirichlet's unit theorem are revealed. Finally we prove that both the number field codes and Alamouti code are in some sense optimal codes in the multiple access channel (MAC).
AB - In this paper we are concentrating on the diversity-multiplexing gain trade-off (DMT) of some space-time lattice codes. First we give a DMT bound for lattice codes having restricted dimension. We then recover the well known results of the DMT of algebraic number field codes and the Alamouti code by using the union bound and see that these codes do achieve the previously mentioned bound. During our analysis interesting connections to the Dedekind's zeta-function and to Dirichlet's unit theorem are revealed. Finally we prove that both the number field codes and Alamouti code are in some sense optimal codes in the multiple access channel (MAC).
UR - http://www.scopus.com/inward/record.url?scp=80054829734&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2011.6034091
DO - 10.1109/ISIT.2011.6034091
M3 - Conference contribution
AN - SCOPUS:80054829734
SN - 9781457705953
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2831
EP - 2835
BT - 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
T2 - 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Y2 - 31 July 2011 through 5 August 2011
ER -