Secure Degrees of Freedom for Gaussian Channels with Interference: Structured Codes Outperform Gaussian Signaling

TL;DR

This paper demonstrates that structured codes can outperform Gaussian signaling in achieving secure degrees of freedom in various Gaussian channels with interference, especially at high SNR with real channel gains.

Contribution

It proves that structured codes can achieve positive secure degrees of freedom in non-degraded, fully connected Gaussian channels, surpassing Gaussian signaling methods.

Findings

Structured codes outperform Gaussian signaling at high SNR.

Positive secure degrees of freedom are achievable in multiple Gaussian channels.

Structured coding schemes are effective for secure communication in interference channels.

Abstract

In this work, we prove that a positive secure degree of freedom is achievable for a large class of Gaussian channels as long as the channel is not degraded and the channel is fully connected. This class includes the MAC wire-tap channel, the 2-user interference channel with confidential messages, the 2-user interference channel with an external eavesdropper. Best known achievable schemes to date for these channels use Gaussian signaling. In this work, we show that structured codes outperform Gaussian random codes at high SNR when channel gains are real numbers.