Noisy-interference Sum-rate Capacity of Parallel Gaussian Interference Channels
arXiv:0903.0595
Abstract
The sum-rate capacity of the parallel Gaussian interference channel is shown to be achieved by independent transmission across sub-channels and treating interference as noise in each sub-channel if the channel coefficients and power constraints satisfy a certain condition. The condition requires the interference to be weak, a situation commonly encountered in, e.g., digital subscriber line transmission. The optimal power allocation is characterized by using the concavity of sum-rate capacity as a function of the power constraints.
32 pages, 8 figures, submitted to IEEE trans. on Information Theory in Feb