  We develop a method to jointly estimate the carrier frequency offset (CFO)
and the narrowband channel in millimeter wave (mmWave) MIMO systems operating
with one-bit analog-to-digital converters (ADCs). We assume perfect timing
synchronization and transform the underlying CFO-channel optimization problem
to a higher dimensional space using lifting techniques. Exploiting the sparsity
of mmWave MIMO channels in the angle domain, we perform joint estimation by
solving a noisy quantized compressed sensing problem of the lifted version,
using generalized approximate message passing. Simulation results show that our
method is able to recover both the channel and the CFO using one-bit
measurements.
