# Channel Conditions for the Optimality of Interference Decoding Schemes for K-user Gaussian Interference Channels

## TL;DR

This paper derives conditions under which simple Han-Kobayashi schemes achieve sum capacity in K-user Gaussian interference channels, extending known results for treating interference as noise to more sophisticated interference decoding strategies.

## Contribution

The paper generalizes sum capacity conditions for simple Han-Kobayashi schemes, including interference decoding, in K-user Gaussian interference channels.

## Key findings

- Simple HK schemes can achieve sum capacity under specific channel conditions.
- Conditions extend known results from TIN to broader interference decoding schemes.
- Results provide guidelines for optimal interference management strategies.

## Abstract

The Han-Kobayashi (HK) scheme achieves the best known achievable rate region for the K user interference channel (IC). Simple HK schemes are HK schemes with Gaussian signaling, no time sharing, and no private-common power splitting. The class of simple HK schemes includes the treating interference as noise (TIN) scheme and schemes that involve various levels of interference decoding and cancellation at each receiver. We derive conditions under which simple HK schemes achieve sum capacity for general K user Gaussian ICs. These results generalize existing sum capacity results for the TIN scheme to the class of simple HK schemes.

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Source: https://tomesphere.com/paper/1901.05153