TY - JOUR
T1 - On the conjectures of SU(3) and AB unitary space-time codes
AU - Lu, Francis
PY - 2006/7/1
Y1 - 2006/7/1
N2 - Proofs to the conjectures made by Jing and Hassibi on having fully diverse (3 × 3) SU(3) and AB unitary space-time codes are presented in this correspondence. We first prove that the SU(3) codes are fully diverse if and only if the design parameters P, Q, R, and are all odd integers, and in addition, are relatively prime. For the type I AB codes, it is shown that full diversity can be achieved if and only if the integers P, Q, R, and S are relatively prime. Finally, we show that such condition is also sufficient for having fully diverse type II AB codes.
AB - Proofs to the conjectures made by Jing and Hassibi on having fully diverse (3 × 3) SU(3) and AB unitary space-time codes are presented in this correspondence. We first prove that the SU(3) codes are fully diverse if and only if the design parameters P, Q, R, and are all odd integers, and in addition, are relatively prime. For the type I AB codes, it is shown that full diversity can be achieved if and only if the integers P, Q, R, and S are relatively prime. Finally, we show that such condition is also sufficient for having fully diverse type II AB codes.
KW - Algebraic number theory
KW - Cyclotomic number field
KW - Lie group
KW - multiple-antenna system
KW - Unitary space-time code
UR - http://www.scopus.com/inward/record.url?scp=33746882796&partnerID=8YFLogxK
U2 - 10.1109/TIT.2006.876233
DO - 10.1109/TIT.2006.876233
M3 - Article
AN - SCOPUS:33746882796
SN - 0018-9448
VL - 52
SP - 3319
EP - 3324
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 7
ER -