Broad Coverage Precoding for 3D Massive MIMO System Synchronization

In this paper, we investigate broad coverage pre-coder design for 3D massive multi-input multi-output (MIMO) systems. We focus on the synchronization performance in the cell coverage. The log-distance path loss model in the line-of-sight (LoS) scenario is formulated. The synchronization performance can be characterized by the missed detection (MD) probability. By considering the equal MD probability in the cell, we formulate a criterion for the precoder design. Moreover, we consider the equal transmit power constraint on each antenna to efficiently utilize the power amplifier (PA) capacity of the BS. By using the manifold optimization framework, we design the precoder under the aforementioned criterion and constraint. Simulation results show that the fairness among all the users in this cell can be ensured. Compared with the precoders designed by half power beam-width (HPBW), the proposed scheme causes much less inter-cell interference, and has a better synchronization performance.