6. Conclusion and future works
In this paper, we explored the potential of MUSIC-based and Rankaware algorithms in rank-defective or ill-conditioned mmW channel estimation while these approaches exploit the sparse nature of the channel with small training overhead. The hybrid architecture is composed of analog phase-shifters and digital base-band processor in the transceiver along with the large antenna array and RF chains very smaller than the length of the array, achieving near optimal spectral efficiencies even in rank-imperfect outdoor channels. We first enumerated the conventional MMV algorithms as extended SMV methods for full-rank channel, and then developed subspace enhancement approaches for channel with imperfect rank. Numerical results showed that the proposed rank-aware OMP offers near-optimal solution and achieves better spectral efficiency similar to the fully digital counterparts. We also provided a channel estimation method that can succeed in the unknown multipath (sparsity) and noisy measurement conditions. For future work, one can extend rank-defective mmW channel estimation based on Bayesian enhancement approaches, for example mentioned in [35]. It would also be interesting to extract the hybrid precoding/combining of rank-defective multi-user mmW according to some studies such as [36]. Furthermore, it would be arousing to consider the interference-cancellation problem in Multi-User frequency- selective mmW networks.