TY - GEN
T1 - An elementary condition for non-norm elements for QAM and HEX signals
AU - Guo, Xiaoyong
AU - Xia, Xiang Gen
PY - 2007
Y1 - 2007
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, i.e., in ℤ[i], or HEX, i.e., ℤ[j], 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, i.e., in ℤ[i], or HEX, i.e., ℤ[j], which is easier to check. With this elementary condition, non-norm elements with smaller absolute values than the existing ones can be found.
UR - https://www.scopus.com/pages/publications/51649104064
U2 - 10.1109/ISIT.2007.4557454
DO - 10.1109/ISIT.2007.4557454
M3 - Conference contribution
AN - SCOPUS:51649104064
SN - 1424414296
SN - 9781424414291
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1621
EP - 1625
BT - Proceedings - 2007 IEEE International Symposium on Information Theory, ISIT 2007
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2007 IEEE International Symposium on Information Theory, ISIT 2007
Y2 - 24 June 2007 through 29 June 2007
ER -