Title :
Quaternionic lattices for space-time coding
Author :
Belfiore, Jean-Claude ; Rekaya, Ghaya
Author_Institution :
Ecole Nat. Superieure des Telecommun., Paris, France
Abstract :
We propose an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described by V. Tarokh et al. (see IEEE Trans. Inf. Theory, vol.44, p.744-65, 1998).
Keywords :
algebra; arithmetic; space-time codes; transmitting antennas; arithmetic lattices; quaternion algebra; quaternionic lattices; space-time codes; transmit antennas; Algebra; Computer aided software engineering; Gaussian noise; Lattices; Network address translation; Quaternions; Receiving antennas; Space time codes; Transmitters; Transmitting antennas;
Conference_Titel :
Information Theory Workshop, 2003. Proceedings. 2003 IEEE
Print_ISBN :
0-7803-7799-0
DOI :
10.1109/ITW.2003.1216745
