On the Achievability of Interference Alignment in the K-User Constant MIMO Interference Channel

TL;DR

This paper introduces a constructive eigenvalue-based method to determine the feasibility of interference alignment in a specific class of constant MIMO interference channels, enhancing understanding of signal space alignment.

Contribution

It presents a novel eigenvalue problem approach for interference alignment feasibility in K-user MIMO channels with equal antennas and specific user configurations.

Findings

Eigenvalue problem characterizes interference alignment feasibility.

Method applies to channels with equal transmit and receive antennas.

Provides insights into finite-dimensional MIMO interference channel schemes.

Abstract

Interference alignment in the K-user MIMO interference channel with constant channel coefficients is considered. A novel constructive method for finding the interference alignment solution is proposed for the case where the number of transmit antennas equals the number of receive antennas (NT = NR = N), the number of transmitter-receiver pairs equals K = N + 1, and all interference alignment multiplexing gains are one. The core of the method consists of solving an eigenvalue problem that incorporates the channel matrices of all interfering links. This procedure provides insight into the feasibility of signal vector spaces alignment schemes in finite dimensional MIMO interference channels.