Millimeter wave (mmWave) systems will likely employ directional beamforming with large antenna arrays at both the
transmitters and receivers. Acquiring channel knowledge to
design these beamformers, however, is challenging due to the
large antenna arrays and small signal-to-noise ratio before
beamforming. In this paper, we propose and evaluate a downlink system operation for multi-user mmWave systems based
on compressed sensing channel estimation and conjugate
analog beamforming. Adopting the achievable sum-rate as a
performance metric, we show how many compressed sensing
measurements are needed to approach the perfect channel
knowledge performance.