Hybrid MU-MISO Scheduling with Limited Feedback Using Hierarchical Codebooks

The multiuser MIMO (MU-MIMO) systems tend to have inter-user interference in practical systems with limited feedback. Practical MU-MIMO systems with limited feedback can be divided into two classes in general. One is zero-forcing beamforming (ZFBF), and the other is per user unitary rate control ((PURC)-R-2) which is an extended version of random beamforming (RBF). To improve performance, ZFBF needs more feedback bits, and (PURC)-R-2 needs a larger number of users. We propose a new hybrid MU-MISO system which has the advantages of the two MU-MIMO schemes simultaneously, and analyze the sum-rate performance and the quantization error of the hybrid scheme. The analysis shows how the number of feedback bits, the number of users, and the signal power affect the sum-rate. The throughput scaling laws are also derived in the high and the medium SNR regimes. Simulation results show that the proposed hybrid MU-MISO system performs better than either of the two MU-MIMO systems with the same number of feebback bits. Another advantage is that it has lower complexity for codeword search since it has a hierarchical codebook structure.