I. Introduction
Applying multiple user transmission over parallel frequency channels to orthogonal frequency-division multiple access (OFDMA) is a promising technique, since multiple parallel subchannels can resist the transmission inference [1], [2]. Adapting to different channel conditions, the transmission strategies on each subchannel can be adjusted in order to maximize the communication quality. In [3], the authors formed the optimization as maximizing a weighted sum of rates under the sum power and additional receiver-specific rate constraints for a system consisting of multiple parallel Gaussian broadcast channels.