Information rate maximizing FIR transceivers: filterbank precoders and decision-feedback equalizers for block transmissions over dispersive channels

Optimal FIR transmit-filterbanks and non-linear DFE receivers are derived for block transmission systems. Subject to an average transmitted power constraint, the mutual information rate is maximized by joint optimization of the transmit and receive filters. The FIR transmit filterbank obeys the "water-filling" principle; moreover, transmit-induced redundancy in the form of trailing zeros, and proper design of the receive filters provides degrees of freedom which can be exploited for the equalization of frequency-selective channels. Simulations illustrate the merits of our designs.