Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems

In millimeter wave (mmWave) multiple-input multiple-output (MIMO) systems, the hybrid beamforming architecture has been put forward to reduce the high hardware cost and power consumption, which are resulted from the tremendous requirements of dedicated radio frequency (RF) chains. In this paper, we...

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Main Authors: Xu Qiao, Yao Zhang, Meng Zhou, Longxiang Yang
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9118941/
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author Xu Qiao
Yao Zhang
Meng Zhou
Longxiang Yang
author_facet Xu Qiao
Yao Zhang
Meng Zhou
Longxiang Yang
author_sort Xu Qiao
collection DOAJ
description In millimeter wave (mmWave) multiple-input multiple-output (MIMO) systems, the hybrid beamforming architecture has been put forward to reduce the high hardware cost and power consumption, which are resulted from the tremendous requirements of dedicated radio frequency (RF) chains. In this paper, we propose several strategies to design analog and digital precoders for a point-to-point (P2P) hybrid MIMO system. Aiming at minimizing the Euclidean distance between the optimal digital precoder and hybrid precoder, we decouple this matrix factorization problem into a nonconvex quadratically constrained quadratic programming (QCQP) problem and an unit-modulus least-squares (ULS) problem, which can be solved by the presented three alternating optimization algorithms. Simulation and analysis results indicate that the proposed semidefinite relaxation based alternating optimization (SDR-AO) algorithm can approach near-optimal spectral efficiency performance compared with previous algorithms in the literature, but shows extremely high computational complexity. The alternating direction method of multipliers based alternating optimization (ADMM-AO) algorithm is preferred in the case that the number of transmit antennas is much larger than that of receive antennas or the amount of data streams is small. Moreover, when equal number of RF chains and data streams are employed, the analytical constant modulus factorization based alternating optimization (ACMF-AO) algorithm is a better choice. Finally, the proposed algorithms can also be well applied in finite resolution phase shifters (PSs) of the analog component and are extended to wideband mmWave systems.
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spelling doaj.art-1cedb0b685ea4430bedb7cf75afe9fb92022-12-21T22:27:50ZengIEEEIEEE Access2169-35362020-01-01811307811308910.1109/ACCESS.2020.30027889118941Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO SystemsXu Qiao0https://orcid.org/0000-0002-5178-3899Yao Zhang1https://orcid.org/0000-0003-4496-2650Meng Zhou2https://orcid.org/0000-0003-0814-0457Longxiang Yang3https://orcid.org/0000-0003-1927-0177Wireless Communications Key Laboratory of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing, ChinaWireless Communications Key Laboratory of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing, ChinaWireless Communications Key Laboratory of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing, ChinaWireless Communications Key Laboratory of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing, ChinaIn millimeter wave (mmWave) multiple-input multiple-output (MIMO) systems, the hybrid beamforming architecture has been put forward to reduce the high hardware cost and power consumption, which are resulted from the tremendous requirements of dedicated radio frequency (RF) chains. In this paper, we propose several strategies to design analog and digital precoders for a point-to-point (P2P) hybrid MIMO system. Aiming at minimizing the Euclidean distance between the optimal digital precoder and hybrid precoder, we decouple this matrix factorization problem into a nonconvex quadratically constrained quadratic programming (QCQP) problem and an unit-modulus least-squares (ULS) problem, which can be solved by the presented three alternating optimization algorithms. Simulation and analysis results indicate that the proposed semidefinite relaxation based alternating optimization (SDR-AO) algorithm can approach near-optimal spectral efficiency performance compared with previous algorithms in the literature, but shows extremely high computational complexity. The alternating direction method of multipliers based alternating optimization (ADMM-AO) algorithm is preferred in the case that the number of transmit antennas is much larger than that of receive antennas or the amount of data streams is small. Moreover, when equal number of RF chains and data streams are employed, the analytical constant modulus factorization based alternating optimization (ACMF-AO) algorithm is a better choice. Finally, the proposed algorithms can also be well applied in finite resolution phase shifters (PSs) of the analog component and are extended to wideband mmWave systems.https://ieeexplore.ieee.org/document/9118941/Millimeter wave communicationhybrid precodingalternating optimizationquadratically constrained quadratic programming
spellingShingle Xu Qiao
Yao Zhang
Meng Zhou
Longxiang Yang
Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
IEEE Access
Millimeter wave communication
hybrid precoding
alternating optimization
quadratically constrained quadratic programming
title Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
title_full Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
title_fullStr Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
title_full_unstemmed Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
title_short Alternating Optimization Based Hybrid Precoding Strategies for Millimeter Wave MIMO Systems
title_sort alternating optimization based hybrid precoding strategies for millimeter wave mimo systems
topic Millimeter wave communication
hybrid precoding
alternating optimization
quadratically constrained quadratic programming
url https://ieeexplore.ieee.org/document/9118941/
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AT yaozhang alternatingoptimizationbasedhybridprecodingstrategiesformillimeterwavemimosystems
AT mengzhou alternatingoptimizationbasedhybridprecodingstrategiesformillimeterwavemimosystems
AT longxiangyang alternatingoptimizationbasedhybridprecodingstrategiesformillimeterwavemimosystems