Constellations on the Sphere with Efficient Encoding-Decoding for Noncoherent Communications

In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The constellation, which call Grass-Lattice, is based on measure preserving mapping from the unit hypercube to of lines. structure allows on-the-fly symbol generation, low-complexity decoding, and simple bit-to-symbol Gray-like coding. Simulation results show that Grass-Lattice has bit error rate performance close numerically optimized unstructured more power efficient than other constellations proposed in literature coherent pilot-based scheme.