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

TL;DR

This paper demonstrates that for parallel Gaussian interference channels with weak interference, the sum-rate capacity can be achieved through independent sub-channel transmission and treating interference as noise, with optimal power allocation derived.

Contribution

It establishes a condition under which independent transmission and treating interference as noise are optimal for sum-rate capacity in parallel Gaussian interference channels.

Findings

Optimal power allocation characterized by concavity of sum-rate capacity.

Sum-rate capacity achieved by independent transmission and treating interference as noise under certain conditions.

Applicable to digital subscriber line transmission scenarios.

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.