Optimal ISI-free DMT transceivers for distorted channels with colored noise

The design of optimal DMT transceivers for distorted channel with colored n oise has been of great interest. Of particular interest is the class of blo ck based DMT, where the transmitter and the receiver consist of constant ma trices. Two types of block-based DMT transceivers will be considered: the D MT system with zero padding (ZP-DMT) and the DMT system with general prefix (GP-DMT). We will derive the bit allocation formula. For a given channel a nd channel noise spectrum, we will design the ISI-free optimal transceiver that minimizes the transmission power for a given transmission rate and pro bability of error. For both ZP-DMT and GP-DMT systems, the optimal ISI-free transceiver can be given in closed from. We will see that for both classes , the optimal transceiver has an orthogonal transmitter. Simulation shows t hat the optimal DMT system can achieve the same transmission rate and the s ame probability of error with a much lower transmission power compared with other existing DMT systems.