Alternating Rate Profile Optimization in Single Stream MIMO Interference Channels

TL;DR

This paper addresses the challenge of finding Pareto optimal rate-tuples in single stream MIMO interference channels by proposing an alternating optimization approach that leverages inverse field of values problems for receive beamforming.

Contribution

It introduces a novel alternating optimization method for rate profile problems in MIMO interference channels, including a solution to the inverse field of values problem for receive beamforming.

Findings

Optimal transmit beamforming is known for fixed receivers.

Optimal receive beamforming is characterized as an inverse field of values problem.

The proposed method compares favorably with existing approaches.

Abstract

The multiple-input multiple-output interference channel is considered with perfect channel information at the transmitters and single-user decoding receivers. With all transmissions restricted to single stream beamforming, we consider the problem of finding all Pareto optimal rate-tuples in the achievable rate region. The problem is cast as a rate profile optimization problem. Due to its nonconvexity, we resort to an alternating approach: For fixed receivers, optimal transmission is known. For fixed transmitters, we show that optimal receive beamforming is a solution to an inverse field of values problem. We prove the solution's stationarity and compare it with existing approaches.