Optimum channel shortening for discrete multitone transceivers

We propose an optimum channel shortening method for discrete multitone (DMT) transceivers. The proposed method shortens a given channel to a desired length while maximizing the number of bits transmitted on a DMT symbol. The key to the optimum solution is the definition of the SNR in a subchannel using the equivalent signal, noise, and ISI paths in the system. Our simulation results show that the proposed method outperforms the best existing method with a 18% increase in the bit rate. We show that the maximum shortening SNR method is a special case of the proposed method and both methods are nearly equivalent when the input energy distribution is constant over all subchannels.