A Framework on Hybrid MIMO Transceiver Design based on Matrix-Monotonic Optimization

TL;DR

This paper introduces a unified matrix-monotonic optimization framework for hybrid MIMO transceiver design, enabling joint optimization of analog and digital components across various scenarios, with efficient algorithms and verified performance improvements.

Contribution

It presents a general hybrid MIMO transceiver design framework that is not limited to specific frequency bands or channel sparsity, using matrix-monotonic optimization for joint analog-digital optimization.

Findings

Optimal analog precoders are equivalent to eigenchannel selection.

Proposed algorithms effectively compute analog transceivers under constraints.

Numerical results confirm performance advantages of the framework.

Abstract

Hybrid transceiver can strike a balance between complexity and performance of multiple-input multiple-output (MIMO) systems. In this paper, we develop a unified framework on hybrid MIMO transceiver design using matrix-monotonic optimization. The proposed framework addresses general hybrid transceiver design, rather than just limiting to certain high frequency bands, such as millimeter wave (mmWave) or terahertz bands or relying on the sparsity of some specific wireless channels. In the proposed framework, analog and digital parts of a transceiver, either linear or nonlinear, are jointly optimized. Based on matrix-monotonic optimization, we demonstrate that the combination of the optimal analog precoders and processors are equivalent to eigenchannel selection for various optimal hybrid MIMO transceivers. From the optimal structure, several effective algorithms are derived to compute the analog transceivers under unit modulus constraints. Furthermore, in order to reduce computation complexity, a simple random algorithm is introduced for analog transceiver optimization. Once the analog part of a transceiver is determined, the closed-form digital part can be obtained. Numerical results verify the advantages of the proposed design.