Joint design of linear transmitter and receiver for the MIMO interference channel

Interference alignment (IA) is a powerful scheme that has emerged out of recent work in the context of the MIMO X channel. Most of the existing IA schemes are aimed to optimize the sum-capacity, the error probability, and the mean square errors (MSE) of the system, and less consider the system power efficiency. This paper proposes a new IA scheme to minimize the system transmit power under the condition of every user's MSE constraint through a joint design of linear transmitter and receiver for a K-user MIMO interference system. In order to solve our optimization problem, we employ the Lagrange function and Karush-Kuhn-Tucker (KKT) conditions, then get the transmitter precoding and receiving filter matrices expressions by the analysis and derivation. Finally, we use a joint iterative algorithm to solve the proposed optimization problem. Simulation results verify that the provided scheme improves the power efficiency.