A Systematic Limited Feedback Scheme for Temporally Correlated MISO Channels with Feedback Delay

In this paper, we propose a systematic limited feedback scheme for multiple-input single-output (MISO) transmit beamforming systems under temporally correlated channels with feedback delay. At the receiver, the channel direction information for the forthcoming transmission is predicted along a geodesic on a unit complex hypersphere. The transmitter successively updates its knowledge to the channel direction by following the course-correction vector fed back from the receiver. The quantization of the correction vector is developed based on a lower dimensional Grassmannian line packing (GLP) codebook with the complex Householder transformation. Numerical results show the proposed approach can improve the performance with unit step feedback delay in various time-varying channels. The proposed scheme can be easily extended for multiple steps of feedback delay.