TY - JOUR
T1 - An elementary condition for non-norm elements
AU - Guo, Xiaoyong
AU - Xia, Xiang Gen
PY - 2009
Y1 - 2009
N2 - Cyclic division algebra (CDA) has recently become a major technique to construct space-time block codes with nonvanishing determinant (NVD). One of the key steps in this technique is the determination of non-norm elements and a sufficient condition for the determination has been given by Kiran and Rajan lately based on algebraic number theory. In this paper, based on Kiran and Rajan's condition, we present a more elementary condition for non-norm elements when signals are QAM or HEX, which is easier to check. With this elementary condition, non-norm elements with smaller absolute values than the existing ones can be found.
AB - Cyclic division algebra (CDA) has recently become a major technique to construct space-time block codes with nonvanishing determinant (NVD). One of the key steps in this technique is the determination of non-norm elements and a sufficient condition for the determination has been given by Kiran and Rajan lately based on algebraic number theory. In this paper, based on Kiran and Rajan's condition, we present a more elementary condition for non-norm elements when signals are QAM or HEX, which is easier to check. With this elementary condition, non-norm elements with smaller absolute values than the existing ones can be found.
KW - Algebraic number theory
KW - Cyclic division algebra
KW - Non-norm elements
KW - Nonvanishing determinant
KW - Space-time block codes
UR - http://www.scopus.com/inward/record.url?scp=62749102816&partnerID=8YFLogxK
U2 - 10.1109/TIT.2008.2011444
DO - 10.1109/TIT.2008.2011444
M3 - Article
AN - SCOPUS:62749102816
SN - 0018-9448
VL - 55
SP - 1080
EP - 1085
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 3
ER -