Tensor products of central simple algebras and fast-decodable space-time
block codes
We use the representation matrices of tensor products of two cyclic
(associative or nonassociative) algebras, or subsets of them, to obtain
asymmetric space-time block codes, building asymmetric full rate multiple input
double output (MIDO) codes which are fully diverse. Some of these codes appear
in the iterated code constructions of multiple input double output (MIDO) codes
by Markin and Oggier. With the right choice of algebras they are
full rate and fast-decodable. We also demonstrate how to obtain fully diverse,
rate-2 (transmitting two complex symbols per channel use) codes presented with
no n-vanishing determinant (NVD).
(Improved version 01 Jul 2013)
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >