Abstract: The adjacent cell overhearing interference was exploited to improve the multi-cell signal quality based on the multi-cell uplink and downlink traffic transmission simultaneously scenarios. In order to satisfy the low power consumption requirement of the future wireless networks, the paper established the multi-antenna relay precoder mathematical model of minimizing the relay power criterion with multi-cell uplink and downlink traffic rate constraints. Then, we equivalently transformed this non-convex problem into QCQP form through analysis and derivation and solved the problem using semidefinite relaxation technique. The simulation and analysis revealed that the proposed precoder schemes can achieve high performance gains and outperform the traditional schemes.