Capacity Analysis of MISO Channels with One-Bit Transceiver

In this paper, we analyze the information-theoretical limits of a multiple-input single-output (MISO) channel with one-bit transceiver. In particular, we present a capacity expression 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 signal points. The four signal points are chosen as a function of the channel and the signal-to-noise ratio (SNR) from the channel input set constructed by a spatial lattice modulation (SLM) method. From our analysis and simulation results, we also demonstrate that the capacity loss caused by the use of one-bit DACs is sufficiently small throughout the entire SNR regime even with a few-bit CSIT feedback that suffices to achieve the capacity.