# Aligned Image Sets and the Generalized Degrees of Freedom of Symmetric MIMO Interference Channel with Partial CSIT

## TL;DR

This paper characterizes the generalized degrees of freedom for symmetric MIMO interference channels considering channel strength and partial CSIT, using aligned image sets for outer bounds.

## Contribution

It extends the aligned image sets approach to derive outer bounds for the GDoF of symmetric MIMO IC with partial CSIT.

## Key findings

- GDoF characterized as a function of channel parameters
- Outer bounds established using generalized aligned image sets
- Insights into the impact of partial CSIT on MIMO interference channels

## Abstract

The generalized degrees of freedom (GDoF) of the two user symmetric multiple input multiple output (MIMO) interference channel (IC) are characterized as a function of the channel strength levels and the level of channel state information at the transmitters (CSIT). In this symmetric setting, each transmitter is equipped with M antennas, each receiver is equipped with N antennas, and both cross links have the same strength parameter $\alpha$ and the same channel uncertainty parameter $\beta$. The main challenge resides in the proof of the outer bound which is accomplished by a generalization of the aligned image sets approach.