Space time codes based on tensor precoding model

We present a novel approach to designing space-time codes based on a tensor precoding model. This proposed scheme can achieve full diversity at full transmission rate on the assumption of quasi-static flat fading channels. We describe a unified approach to design criteria exploiting the parallel factor (PARAFAC) tensor decomposition to express the precoding tensor in terms of a set of component matrices. The scheme is more general and flexible than existing orthogonal space-time codes and space-time linear constellation precoding schemes, and hence can offer better performance for both real and complex constellations. In particular in this paper we introduce a scheme based on Vandermonde matrices for substream allocation.