# Approximate Capacity of a Class of Partially Connected Interference Channels

## TL;DR

This paper establishes tight bounds on the capacity of certain three-user partially connected interference channels, highlighting the effects of topology and interference management techniques like alignment and rate-splitting.

## Contribution

It introduces new inner and outer bounds for these channels, demonstrating near-optimal schemes with lattice alignment and rate-splitting, advancing understanding of interference channel capacity.

## Key findings

- Outer bounds are tight within a constant gap for channels with interference alignment gain.
- Near-optimal achievable schemes are developed using rate-splitting and lattice alignment.
- The impact of topology and interference alignment on capacity is characterized.

## Abstract

We derive inner and outer bounds on the capacity region for a class of three-user partially connected interference channels. We focus on the impact of topology, interference alignment, and interplay between interference and noise. The representative channels we consider are the ones that have clear interference alignment gain. For these channels, Z-channel type outer bounds are tight to within a constant gap from capacity. We present near-optimal achievable schemes based on rate-splitting and lattice alignment.