Subspace interference alignment on Grassmann manifold for cellular networks

The subspace interference alignment for multi-cell and multi-user cellular networks was focused. Different from most previous algorithms that are based on a joint design of precoder and receive filter, the proposed method achieves interference alignment with precoder design only. This means our algorithm only requires the participation of transmitters, which will alleviate significantly the overhead induced by alternation between the up and down links. More importantly, varying from the traditional constrained optimization method, the precoder design on complex Grassmann manifold with lower dimensions was reformulated and a novel steepest descent algorithm was derived to achieve perfect subspace interference alignment. Simulation results suggest that the proposed algorithm has better convergence performance and higher system capacity compared with previous methods.