Widely Linear Multiuser Precoding for One-dimensional Signalling

In this paper, we study transmit precoding in multiuser multiple-input single-output communications systems assuming the transmit signal is one-dimensionally modulated. A closed-form solution for widely linear maximum signal-to-leakage-and-noise ratio (MSLNR) precoding is obtained. We also investigate the design of WL maximum ratio transmission (MRT) and WL zero-forcing (ZF) precoding techniques. It is shown that widely linear precoding of one dimensionally modulated signals substantially outperforms linear precoding of one dimensionally modulated signals.