Elements of information theory
Elements of information theory
On finding an envy-free Pareto-optimal division
Mathematical Programming: Series A and B
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Convex Optimization
Graph Theory
Adaptive resource allocation in multiuser OFDM systems with proportional rate constraints
IEEE Transactions on Wireless Communications
Opportunistic beamforming using dumb antennas
IEEE Transactions on Information Theory
Multiuser OFDM with adaptive subcarrier, bit, and power allocation
IEEE Journal on Selected Areas in Communications
Transmit power adaptation for multiuser OFDM systems
IEEE Journal on Selected Areas in Communications
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We consider fair resource allocation in Gaussian frequency-division broadcast channel with intersymbol interference. The goal is to allocate power and subchannels in a way such that proportional fairness is achieved. We show that the subchannel allocation problem is NP-hard. If multiple users are allowed to time-share a subchannel, the relaxed problem is equivalent to the cake cutting problem and can be efficiently solved. For the joint power and subchannel allocation problem, we propose an iterative method, which solves the power allocation problem and subchannel allocation problem alternately. Simulation results show that its performance is nearly optimal.