  Millimeter wave (mmWave) spectrum has drawn attention due to its tremendous
available bandwidth. The high propagation losses in the mmWave bands
necessitate beamforming with a large number of antennas. Traditionally each
antenna is paired with a high-speed analog-to-digital converter (ADC), which
results in high power consumption. A hybrid beamforming architecture and
one-bit resolution ADCs have been proposed to reduce power consumption.
However, analog beamforming and one-bit quantization make channel estimation
more challenging. In this paper, we propose a narrowband channel estimation
algorithm for mmWave communication systems with one-bit ADCs and hybrid
beamforming based on generalized approximate message passing (GAMP). We show
through simulation that 1) GAMP variants with one-bit ADCs have better
performance than do least-squares estimation methods without quantization, 2)
the proposed one-bit GAMP algorithm achieves the lowest estimation error among
the GAMP variants, and 3) exploiting more frames and RF chains enhances the
channel estimation performance.
