  A one-bit wireless transceiver is a promising communication architecture that
not only can facilitate the design of mmWave communication systems but also can
extremely diminish power consumption. The non-linear distortion effects by
one-bit quantization at the transceiver, however, change the fundamental limits
of communication rates. In this paper, the capacity of a multiple-input
single-output (MISO) fading channel with one-bit transceiver is characterized
in a closed form when perfect channel state information (CSI) is available at
both a transmitter and a receiver. One major finding is that the capacity
achieving transmission strategy is to uniformly use four multi-dimensional
constellation points. The four multi-dimensional constellation points are
optimally chosen as a function of the channel and the signal-to-noise ratio
(SNR) among the channel input set constructed by a spatial lattice modulation
method. As a byproduct, it is shown that a few-bit CSI feedback suffices to
achieve the capacity. For the case when CSI is not perfectly known to the
receiver, practical channel training and CSI feedback methods are presented,
which effectively exploit the derived capacity-achieving transmission strategy.
