English

Noisy-interference Sum-rate Capacity of Parallel Gaussian Interference Channels

Information Theory 2009-03-04 v1 math.IT

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.

Keywords

Cite

@article{arxiv.0903.0595,
  title  = {Noisy-interference Sum-rate Capacity of Parallel Gaussian Interference Channels},
  author = {Xiaohu Shang and Biao Chen and Gerhard Kramer and H. Vincent Poor},
  journal= {arXiv preprint arXiv:0903.0595},
  year   = {2009}
}

Comments

32 pages, 8 figures, submitted to IEEE trans. on Information Theory in Feb

R2 v1 2026-06-21T12:17:56.705Z