  This paper investigates rate-splitting (RS) precoding for non-orthogonal
unicast and multicast (NOUM) transmissions using fully-digital and hybrid
precoders. We study the nonconvex weighted sum-rate (WSR) maximization problem
subject to a multicast requirement. We propose FALCON, an approach based on
sequential parametric optimization, to solve the aforementioned problem. We
show that FALCON converges to a local optimum without requiring judicious
selection of an initial feasible point. Besides, we show through simulations
that by leveraging RS, hybrid precoders can attain nearly the same performance
as their fully-digital counterparts under certain specific settings.
