How to Understand LMMSE Transceiver Design for MIMO Systems From Quadratic Matrix Programming

TL;DR

This paper introduces a unified LMMSE transceiver design framework for various MIMO wireless systems using quadratic matrix programming, enabling iterative solutions adaptable to evolving wireless technologies.

Contribution

It presents a novel, unified mathematical programming approach (QMP) for LMMSE transceiver design applicable across diverse wireless systems.

Findings

Quadratic forms are common in different wireless system models.

LMMSE transceiver design can be formulated as QMP problems.

The framework supports iterative solutions for complex systems.

Abstract

In this paper, a unified linear minimum mean-square-error (LMMSE) transceiver design framework is investigated, which is suitable for a wide range of wireless systems. The unified design is based on an elegant and powerful mathematical programming technology termed as quadratic matrix programming (QMP). Based on QMP it can be observed that for different wireless systems, there are certain common characteristics which can be exploited to design LMMSE transceivers e.g., the quadratic forms. It is also discovered that evolving from a point-to-point MIMO system to various advanced wireless systems such as multi-cell coordinated systems, multi-user MIMO systems, MIMO cognitive radio systems, amplify-and-forward MIMO relaying systems and so on, the quadratic nature is always kept and the LMMSE transceiver designs can always be carried out via iteratively solving a number of QMP problems. A comprehensive framework on how to solve QMP problems is also given. The work presented in this paper is likely to be the first shoot for the transceiver design for the future ever-changing wireless systems.