A discrete multi-tone (DMT) communication system is provided herein,
replacing the conventional inversed discrete Fourier transform (IDFT) and
DFT with IDHT (together with the complex-to-real transformation) and a
DHT alone respectively at the transmitting end and the receiving end. A
DHT-based frequency-domain equalizer (FEQ) at the receiving end equalizes
each of the 0-th to (N-1)-th DHT subchannels, where N is the number of
point of the DHT. Finally, each of the 0-th to ##EQU00001## subchannels
of the DMT system is obtained by combining the k-th and (N-k)-th
subchannels of the DHT-based FEQ for k=0, 1, . . . , ##EQU00002##