Optimum multiflow biorthogonal DMT with unequal subchannel assignment

We consider the design of biorthogonal, as opposed to orthonormal, discrete multitone (DMT) systems supporting multiple services in a single antennae setting. The services may have differing quality of service (QoS) requirements, quantified by bit rate and symbol error rate specifications. Different users on the system can be potentially assigned different number of subchannels. Our goal is to minimize the transmitted power given the QoS specifications for the different users, subject to the knowledge of the channel and colored interference at the receiver input of the DMT system. We find an optimum bit loading scheme that distributes the bit rate transmitted across the various subchannels, where the precise subchannels are assigned to each user, and an optimum transceiver. Key conclusions are i) relaxing the orthonormality constraint yields no performance improvement; ii) the optimum transceiver is unaffected by changing service characteristics, and depends only on the channel and interference conditions; iii) the QoS requirements, the number of users, and the number of subchannels assigned to the different users only affect bitloading and subchannel assignment.