Abstract

Abstract—A precoding scheme for multiuser broadcast communications is described, which fills the gap between the low-complexity Tomlinson–Harashima precoding and the sphere decoderbased system of Peel et al. Simulation results show that, replacing the closest-point search with the Babai approximation, the full diversity order supported by the channel is available to each user, as in the system of Peel et al., and unlike Tomlinson–Harashima precoding, which suffers some diversity penalty. The complexity of the scheme is similar to that of Tomlinson–Harashima precoding. Index Terms—Lattice reduction, multiple-input multiple-output (MIMO) broadcast channels, MIMO precoding.

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