  Recent applications of the Full Duplex (FD) technology focus on enabling
simultaneous control communication and data transmission to reduce the control
information exchange overhead, which impacts end-to-end latency and spectral
efficiency. In this paper, we present a simultaneous direction estimation and
data transmission scheme for millimeter Wave (mmWave) massive Multiple-Input
Multiple-Output (MIMO) systems, enabled by a recent FD MIMO technology with
reduced hardware complexity Self-Interference (SI) cancellation. We apply the
proposed framework in the mmWave analog beam management problem, considering a
base station equipped with a large transmit antenna array realizing downlink
analog beamforming and few digitally controlled receive antenna elements used
for uplink Direction-of-Arrival (DoA) estimation. A joint optimization
framework for designing the DoA-assisted analog beamformer and the analog as
well as digital SI cancellation is presented with the objective to maximize the
achievable downlink rate. Our simulation results showcase that the proposed
scheme outperforms its conventional half-duplex counterpart, yielding reduced
DoA estimation error and superior downlink data rate.
