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In this paper, the authors propose a novel and simple Approximate Maximum Likelihood Detector (A-ML-D) for Single Input and Single Output (SISO) systems over frequency-selective fading channels based on Tomlinson - Harashima pre-equalizer. By assuming full Channel State Information (CSI) at the transmitter side, the pre-equalizer can remove some Inter-Symbol Interference (ISI) at the transmitter. At the receiver, they implement a Gaussian approximation, a pre-whitening filter and a matched filter to realize a set of parallel SISO schemes, and thus, facilitate single symbol detection. The proposed scheme can obtain full multi-path diversity and achieve near-optimal performance with a complexity lower than linear MMSE and MMSE-DFE.
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