Achievable Rates for K-user Gaussian Interference Channels

TL;DR

This paper investigates the achievable data rates for multi-user Gaussian interference channels using a novel combination of lattice and algebraic coding techniques, introducing the concept of efficiency to optimize coding strategies.

Contribution

It proposes a new method combining lattice and algebraic codes to improve achievable rates in K-user Gaussian interference channels, introducing the efficiency metric.

Findings

Lattice codes transform the Gaussian interference channel into a noiseless discrete channel.

Algebraic codes are developed to achieve good rates over the transformed channel.

The combined approach achieves non-trivial rates for the original Gaussian interference channel.

Abstract

The aim of this paper is to study the achievable rates for a $K$ user Gaussian interference channels for any SNR using a combination of lattice and algebraic codes. Lattice codes are first used to transform the Gaussian interference channel (G-IFC) into a discrete input-output noiseless channel, and subsequently algebraic codes are developed to achieve good rates over this new alphabet. In this context, a quantity called efficiency is introduced which reflects the effectiveness of the algebraic coding strategy. The paper first addresses the problem of finding high efficiency algebraic codes. A combination of these codes with Construction-A lattices is then used to achieve non trivial rates for the original Gaussian interference channel.