Broad Coverage Precoder Design for 3D Massive MIMO System Synchronization

In this paper, we investigate broad coverage precoder design for 3D massive multi-input multi-output (MIMO) systems, where the base station (BS) is equipped with a uniform rectangular array (URA). We focus on the synchronization performance in the cell coverage. The flat fading channel model is formulated. The synchronization performance can be characterized by the missed detection (MD) probability. By considering the MD probability fairness 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.