Complete characterization of channel-resistant DMT with cyclic prefix

We provide a complete characterization of discrete multitone transmission (DMT) systems that employ a cyclic prefix redundancy and that can be equalized by a bank of one-tap equalizers in each subchannel, for almost all values of channel parameters. We show that among all possible finite-impulse response transmitting and receiving filters of arbitrary order, such channel-resistant transmission requires 1) that the receive filters be matched to the transmit filters and 2) that to within a scaling and delay, the transmit and receive filters have inverse discrete Fourier transform and discrete Fourier transform (DFT) coefficients. Thus, we prove that, should cyclic prefix be applied, only trivial variants of traditional DFT-based DMT systems are channel resistant.