A multiuser scheme allowing for a number of users, sets of user, or carriers to share one or more channels is provided. In the invention, the available channel bandwidth is subdivided into a number of equal-bandwidth subchannels according to standard OFDM practice. The transmitter is informed by an application that it needs to transmit data a particular rate. The transmitter determines the minimum number of subchannels and maximum energy (or noise) threshold for each subchannel necessary to achieve that data rate and selects a set of subchannels matching those requirements. The subchannels need not be contiguous in the spectrum or belong to the same channel. Once the transmitter has selected the required number of subchannels, it begins transmitting simultaneously on those subchannels across the entire bandwidth used by those subchannels.