Compressed Sensing Precoding with Limited Feedback in Multi-carrier MIMO System

Because of the large numbers of feedback in the multiple input & multiple output (MIMO) multi-carrier system, the precoding based on full channel state information is difficult to be applied in practical. In order to significantly reduce the overhead of the feedback link, a compressed sensing precoding method with limited feedback in MIMO multi-carrier system is proposed in this paper. First, the channel matrix which results from the channel estimation is observed by compressed sensing measurement matrix at the receiver, only a small amount of measurements are fed back to the transmitter. Second, the channel matrix is reconstructed through orthogonal matching pursuit algorithm at the transmitter, and the transmitted signals are precoded using the reconstructed channel state information. Simulation results show that the proposed method can accurately reconstructed the channel state information using only a small amount of feedback data and can achieve comparable bit error rate performance with traditional precoding methods.