Sub-optimality of Treating Interference as Noise in the Cellular Uplink with Weak Interference

TL;DR

This paper investigates the limitations of treating interference as noise (TIN) in a cellular uplink model with weak interference, proposing alternative schemes like TDMA-TIN and interference alignment that outperform naive TIN in certain regimes.

Contribution

It introduces the PIMAC model, analyzes the sum-capacity with various schemes, and demonstrates the sub-optimality of naive TIN, proposing improved strategies for weak interference scenarios.

Findings

TDMA-TIN outperforms naive TIN in the PIMAC.

TDMA-TIN achieves sum-capacity in some regimes.

Interference alignment with power control can outperform TDMA-TIN.

Abstract

Despite the simplicity of the scheme of treating interference as noise (TIN), it was shown to be sum-capacity optimal in the Gaussian interference channel (IC) with very-weak (noisy) interference. In this paper, the 2-user IC is altered by introducing an additional transmitter that wants to communicate with one of the receivers of the IC. The resulting network thus consists of a point-to-point channel interfering with a multiple access channel (MAC) and is denoted PIMAC. The sum-capacity of the PIMAC is studied with main focus on the optimality of TIN. It turns out that TIN in its naive variant, where all transmitters are active and both receivers use TIN for decoding, is not the best choice for the PIMAC. In fact, a scheme that combines both time division multiple access and TIN (TDMA-TIN) strictly outperforms the naive-TIN scheme. Furthermore, it is shown that in some regimes, TDMA-TIN achieves the sum-capacity for the deterministic PIMAC and the sum-capacity within a constant gap for the Gaussian PIMAC. Additionally, it is shown that, even for very-weak interference, there are some regimes where a combination of interference alignment with power control and treating interference as noise at the receiver side outperforms TDMA-TIN. As a consequence, on the one hand treating interference as noise in a cellular uplink is approximately optimal in certain regimes. On the other hand those regimes cannot be simply described by the strength of interference.