On Multi-Frequency Channel Interference Alignment of 3 Channels and 4 Users

This paper explores the multi-frequency independent channel interference alignment（MFC-IA） system of 3 channels and4 users,and single data stream transmit,i.e.（3×3,1）4 system.We derive the analytic solution for（3×3,1）4 MFC-IA system.Based on the analytic solution,an optimization problem is proposed aim at the optimal IA solution.Then based on such a math model,we propose a simulated annealing（SA） algorithm to search optimal IA solution.The simulation results show that the simulated annealing IA algorithm has a better sum rate performance than iterative maximize signal to interference plus noise ratio（Max-SINR） algorithm.This result can be extended to single data stream multi-antenna IA system with 3 antennas and4 users.