TY - GEN
T1 - An algebraic tool for obtaining conditional non-vanishing determinants
AU - Hollanti, Camilla
AU - Lu, Hsiao-Feng
AU - Vehkalahti, Roope
PY - 2009
Y1 - 2009
N2 - An algebraic tool from the theory of central simple algebras is proposed to obtain families of complex matrices satisfying the conditional non-vanishing determinant (CNVD) property. Such property is of great use in e.g. the design of multiuser space-time (ST) codes, in which context it is not always crucial for the transmission matrix to be invertible. On the other hand, whenever it is invertible, it is important that it has a non-vanishing determinant. Also any submatrix of any subset of users multiplied with its transpose conjugate should preferably have a non-vanishing determinant, provided it is non-zero. In recent submissions by Lu et al. it has been shown that, with suitable multiplexing, such property yields a construction of space-time codes that achieve the optimal diversity-multiplexing tradeoff (DMT) of the multipleinput multiple-output (MIMO) multiple access channel (MAC) and outperform the previously known ST codes.
AB - An algebraic tool from the theory of central simple algebras is proposed to obtain families of complex matrices satisfying the conditional non-vanishing determinant (CNVD) property. Such property is of great use in e.g. the design of multiuser space-time (ST) codes, in which context it is not always crucial for the transmission matrix to be invertible. On the other hand, whenever it is invertible, it is important that it has a non-vanishing determinant. Also any submatrix of any subset of users multiplied with its transpose conjugate should preferably have a non-vanishing determinant, provided it is non-zero. In recent submissions by Lu et al. it has been shown that, with suitable multiplexing, such property yields a construction of space-time codes that achieve the optimal diversity-multiplexing tradeoff (DMT) of the multipleinput multiple-output (MIMO) multiple access channel (MAC) and outperform the previously known ST codes.
UR - http://www.scopus.com/inward/record.url?scp=70449497918&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2009.5205904
DO - 10.1109/ISIT.2009.5205904
M3 - Conference contribution
AN - SCOPUS:70449497918
SN - 9781424443130
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 1388
EP - 1392
BT - 2009 IEEE International Symposium on Information Theory, ISIT 2009
T2 - 2009 IEEE International Symposium on Information Theory, ISIT 2009
Y2 - 28 June 2009 through 3 July 2009
ER -