Tomlinson-Harashima precoding with partial channel knowledgeTomlinson-Harashima precoding with partial channel knowledge Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-11-082005enWe consider minimum mean-square error Tomlinson-Harashima (MMSE-TH) precoding for time-varying frequency-selective channels. We assume that the receiver estimates the channel and sends the channel state information (CSI) estimate to the transmitter through a lossless feedback channel that introduces a certain delay. Thus, the CSI mismatch at the receiver is due to estimation errors, while the CSI mismatch at the transmitter is due to both estimation errors and channel time variations. We exploit a priori statistical channel knowledge, and we derive an optimal TH precoder, adopting a Bayesian approach. We use simulations to compare the performance of the so-derived TH precoder with that of the same-complexity MMSE decision-feedback equalizer (DFE). We observe that for low signal-to-noise ratios (SNRs) and sufficiently slow channel time variations, the optimal TH precoder outperforms the DFE, while at high SNR, the opposite happenshttp://creativecommons.org/licenses/by/4.0/IEEE Transactions on Communications1535-9 Liavas Athanasios Λιαβας Αθανασιος Institute of Electrical and Electronics Engineers