A class of channel precoder constructed with equalizer with minimal implementation complexity, and no channel noise amplification effect is proposed in this paper. The derivation on the formulation of the precoder and equalizer pairs are presented. Where the applied equalizer is a simple nonuniform sampling system. Because of the allpass nature of the equalizer, the performance of this class of channel precoder will not be suffered from channel noise amplification effect. The existence of such precoder, equalizer pairs are derived, which is shown to be compatible with that of ordinary linear precoder.