Coordinated Beamforming with Relaxed Zero Forcing: The Sequential Orthogonal Projection Combining Method and Rate Control

TL;DR

This paper introduces a relaxed zero-forcing coordinated beamforming method using sequential orthogonal projection combining, enabling higher rates and feasible beam design in interference channels, with practical algorithms and rate control strategies.

Contribution

It proposes the RZF framework with SOPC for beamforming, providing closed-form solutions, efficient algorithms, and rate control methods for MISO and MIMO interference channels.

Findings

RZF allows increased interference leakage for better rates.

Closed-form solutions for two- and three-user cases.

Efficient algorithms and rate control strategies developed.

Abstract

In this paper, coordinated beamforming based on relaxed zero forcing (RZF) for K transmitter-receiver pair multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) interference channels is considered. In the RZF coordinated beamforming, conventional zero-forcing interference leakage constraints are relaxed so that some predetermined interference leakage to undesired receivers is allowed in order to increase the beam design space for larger rates than those of the zero-forcing (ZF) scheme or to make beam design feasible when ZF is impossible. In the MISO case, it is shown that the rate-maximizing beam vector under the RZF framework for a given set of interference leakage levels can be obtained by sequential orthogonal projection combining (SOPC). Based on this, exact and approximate closed-form solutions are provided in two-user and three-user cases, respectively, and an efficient beam design algorithm for RZF coordinated beamforming is provided in general cases. Furthermore, the rate control problem under the RZF framework is considered. A centralized approach and a distributed heuristic approach are proposed to control the position of the designed rate-tuple in the achievable rate region. Finally, the RZF framework is extended to MIMO interference channels by deriving a new lower bound on the rate of each user.