Colored channel noise robust power optimized precoder for ISI channel with minimal complexity equalizer

A systematic method to design a power optimized FIR precoder for a special class of ISI free noise robust precoder-equalizer structure is presented in this paper. The proposed equalizer has the lowest implementation complexity in theory, because the equalizer consists of a simple sampler only. It is also because of this simple equalizer, the proposed precoder-equalizer pair is robust to channel noise. The presented design method results in a minimal power precoder with a given order such that the system achieve ISI free MMSE communication in ISI additive color noise channel with a given SNR. Simulation results are presented to illustrate the performance of the proposed precoder-equalizer structure and compared it with that of the general linear precoder structure.