Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems

Abstract This paper presents a novel variational Bayesian learning‐based channel estimation scheme for hybrid pre‐coding‐employed wideband multiuser millimetre wave multiple‐input multiple‐output communication systems. We first propose a frequency variational Bayesian algorithm, which leverages comm...

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Main Authors: Bo Xiao, Pingmu Huang, Zhipeng Lin, Jie Zeng, Tiejun Lv
Format: Article
Language:English
Published: Wiley 2021-03-01
Series:IET Communications
Subjects:
Online Access:https://doi.org/10.1049/cmu2.12088
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author Bo Xiao
Pingmu Huang
Zhipeng Lin
Jie Zeng
Tiejun Lv
author_facet Bo Xiao
Pingmu Huang
Zhipeng Lin
Jie Zeng
Tiejun Lv
author_sort Bo Xiao
collection DOAJ
description Abstract This paper presents a novel variational Bayesian learning‐based channel estimation scheme for hybrid pre‐coding‐employed wideband multiuser millimetre wave multiple‐input multiple‐output communication systems. We first propose a frequency variational Bayesian algorithm, which leverages common sparsity of different sub‐carriers in the frequency domain. The algorithm shares all the information of the support sets from the measurement matrices, significantly improving channel estimation accuracy. To enhance robustness of the frequency variational Bayesian algorithm, we develop a hierarchical Gaussian prior channel model, which employs an identify‐and‐reject strategy to deal with random outliers imposed by hardware impairments. A support selection frequency variational Bayesian channel estimation algorithm is also proposed, which adaptively selects support sets from the measurement matrices. As a result, the overall computational complexity can be reduced. Validated by the Bayesian Cramér‐Rao bound, simulation results show that, both frequency variational Bayesian and support selection‐frequency variational Bayesian algorithms can achieve higher channel estimation accuracy than existing methods. Furthermore, compared with frequency variational Bayesian, support selection‐frequency variational Bayesian requires significantly lower computational complexity, and hence, it is more practical for channel estimation applications.
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spelling doaj.art-41561bb6a362428aa985824c3f442b982022-12-22T04:03:21ZengWileyIET Communications1751-86281751-86362021-03-0115456657910.1049/cmu2.12088Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systemsBo Xiao0Pingmu Huang1Zhipeng Lin2Jie Zeng3Tiejun Lv4School of Information and Communication Engineering Beijing University of Posts and Telecommunications (BUPT) Beijing 100876 ChinaSchool of Information and Communication Engineering Beijing University of Posts and Telecommunications (BUPT) Beijing 100876 ChinaSchool of Information and Communication Engineering Beijing University of Posts and Telecommunications (BUPT) Beijing 100876 ChinaDepartment of Electronic Engineering Tsinghua University Beijing 100084 ChinaSchool of Information and Communication Engineering Beijing University of Posts and Telecommunications (BUPT) Beijing 100876 ChinaAbstract This paper presents a novel variational Bayesian learning‐based channel estimation scheme for hybrid pre‐coding‐employed wideband multiuser millimetre wave multiple‐input multiple‐output communication systems. We first propose a frequency variational Bayesian algorithm, which leverages common sparsity of different sub‐carriers in the frequency domain. The algorithm shares all the information of the support sets from the measurement matrices, significantly improving channel estimation accuracy. To enhance robustness of the frequency variational Bayesian algorithm, we develop a hierarchical Gaussian prior channel model, which employs an identify‐and‐reject strategy to deal with random outliers imposed by hardware impairments. A support selection frequency variational Bayesian channel estimation algorithm is also proposed, which adaptively selects support sets from the measurement matrices. As a result, the overall computational complexity can be reduced. Validated by the Bayesian Cramér‐Rao bound, simulation results show that, both frequency variational Bayesian and support selection‐frequency variational Bayesian algorithms can achieve higher channel estimation accuracy than existing methods. Furthermore, compared with frequency variational Bayesian, support selection‐frequency variational Bayesian requires significantly lower computational complexity, and hence, it is more practical for channel estimation applications.https://doi.org/10.1049/cmu2.12088AlgebraMathematical analysisCodesCommunication channel equalisation and identificationRadio links and equipmentOptimisation techniques
spellingShingle Bo Xiao
Pingmu Huang
Zhipeng Lin
Jie Zeng
Tiejun Lv
Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
IET Communications
Algebra
Mathematical analysis
Codes
Communication channel equalisation and identification
Radio links and equipment
Optimisation techniques
title Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
title_full Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
title_fullStr Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
title_full_unstemmed Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
title_short Channel estimation using variational Bayesian learning for multi‐user mmWave MIMO systems
title_sort channel estimation using variational bayesian learning for multi user mmwave mimo systems
topic Algebra
Mathematical analysis
Codes
Communication channel equalisation and identification
Radio links and equipment
Optimisation techniques
url https://doi.org/10.1049/cmu2.12088
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AT zhipenglin channelestimationusingvariationalbayesianlearningformultiusermmwavemimosystems
AT jiezeng channelestimationusingvariationalbayesianlearningformultiusermmwavemimosystems
AT tiejunlv channelestimationusingvariationalbayesianlearningformultiusermmwavemimosystems