A non-coherent SIMO architecture based on Grassmann codes

We consider single-input multiple-output non-coherent communication over the flat fading Rayleigh channel. At the transmitter we propose an architecture based on the unitary space-time codes obtained via exponential mapping (Kammoun, I and Belfiore, J, 2003). At the receiver we implemented a simple low-complexity decoding algorithm inspired from the optimal GLRT decoder. The performance of the sub-optimal decoder is very close to the optimal GLRT decoder. The unitary non-coherent codes are considered as points over the Grassmann manifold G_{T, M} (C).