Abstract:Interference alignment (IA) in the multi-user MIMO interference channel with constant channel coefficients was considered. An iterative algorithm for finding the interference alignment solutions was proposed for the case where all interference alignment multiplexing gains are one. Traditional IA algorithm which minimizes the interference leakage (MIL) was not sum rate optimal with finite SNR

so in this paper perfect alignment constraint was relaxed in order to obtain better sum rate performance. The problem was first converted to a convex quadratic program problem based on the small step size assumption then all the precoding and decoding matrices were updated iteratively. Simulation results showed that the proposed algorithm achieves better sum rate performance compared with MIL algorithm at lower SNR

and almost the same at higher SNR.