In this paper, we focus on the interference alignment precoder design for cellular system. Varying from the traditional constrained optimization method, we reformulate the optimization problem on the complex Grassmann manifold and derive a novel steepest descent algorithm to achieve perfect interference alignment. Moreover our proposed algorithm only requires the participation of transmitter. Thus it will alleviate the overhead induced by alternating between the up and down links significantly. Simulation results suggest the proposed algorithm has better convergence performance and higher system capacity comparing with previous methods.
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