Structured Multi-Antenna Grassmannian Constellations for Noncoherent Communications

In this paper, we propose a new structured Grass-mannian constellation for noncoherent communications over multiple-input multiple-output (MIMO) Rayleigh block-fading channels with two transmit antennas. The constellation, which we call Grass-Lattice, is based on a measure preserving mapping from the unit hypercube to the Grassmann manifold. The constellation structure allows for on-the-fly symbol generation and low-complexity decoding. Simulation results show that Grass-Lattice offers a superior bit error rate performance than other structured Grassmannian constellations such as Exp-Map.