  A Non-Orthogonal Unicast and Multicast (NOUM) transmission system allows a
multicast stream intended to all receivers to be jointly transmitted with
unicast streams in the same time-frequency resource blocks. While the capacity
of the two-user multi-antenna NOUM with perfect Channel State Information at
the Transmitter (CSIT) is known and achieved by Dirty Paper Coding
(DPC)-assisted NOUM with Superposition Coding (SC), the capacity and the
capacity-achieving strategy of the multi-antenna NOUM with partial CSIT remain
unknown. In this work, we focus on the partial CSIT setting and make two major
contributions. First, we show that linearly precoded Rate-Splitting (RS),
relying on splitting unicast messages into common and private parts, encoding
the common parts together with the multicast message and linearly precoding at
the transmitter, can achieve larger rate regions than DPC-assisted NOUM with
partial CSIT. Second, we study Dirty Paper Coded Rate-Splitting (DPCRS), that
marries RS and DPC. We show that the rate region of DPCRS-assisted NOUM is
enlarged beyond that of conventional DPC-assisted NOUM and that of linearly
precoded RS-assisted NOUM with partial CSIT.
