Modulated-coded zero-forcing decision feedback equalizer

Modulated codes (MC) are error correction codes (ECC) over the real/complex field, which are used for mitigating the intersymbol interference (ISI). Due to the same arithmetic operations of the MC encoding and the ISI channel, MC can be algebraically combined with the ISI channel. Using MC, a new coded zero-forcing decision feedback equalizer (ZF-DFE) is proposed, which has the superior performance over the conventional uncoded/coded ZF-DFE and the uncoded/coded Tomlinson-Harashima (TH) precoding. The computational complexity of the new coded ZF-DFE is, however, similar to the one of the uncoded ZF-DFE. In this paper, we also present the performance analysis for the MC coded ZF-DFE and then present the optimal MC design for a given ISI channel or its statistics especially for the MC coded ZF-DFE. The coding gain is formulated over the uncoded system in the AWGN channel.