  In this work, we investigate the performance of Rate-Splitting (RS) based on
Tomlinson-Harashima Precoding (THP) in a multiple-antenna broadcast channel
with perfect and imperfect Channel State Information at the Transmitter (CSIT).
In particular, we consider RS using centralized and decentralized THP
structures, where only one user splits its message into a common and private
part, and develop expressions to describe the signal-to-interference-plus-noise
(SINR) ratio and the sum rates associated with these schemes. Furthermore, we
also assess the performance achieved by RS combined with Dirty-Paper Coding
(DPC). Simulations show that RS with THP outperforms existing standard THP and
RS with linear precoding schemes.
