Machine Learning-Based Hybrid Precoding With Low-Resolution Analog Phase Shifters

In this letter, inspired by the cross-entropy (CE) optimization in machine learning, we propose a CE-based algorithm for hybrid precoding with low-resolution analog phase shifters in millimeter wave (mmWave) multi-input multi-output (MIMO) systems. The main idea is to generate some candidate analog...

Full description

Saved in:
Bibliographic Details
Published inIEEE communications letters Vol. 25; no. 1; pp. 186 - 190
Main Authors Zhang, Yu, Dong, Xiaodai, Zhang, Zhi
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text
ISSN1089-7798
1558-2558
DOI10.1109/LCOMM.2020.3025025

Cover

Abstract In this letter, inspired by the cross-entropy (CE) optimization in machine learning, we propose a CE-based algorithm for hybrid precoding with low-resolution analog phase shifters in millimeter wave (mmWave) multi-input multi-output (MIMO) systems. The main idea is to generate some candidate analog precoders according to a series of pre-defined probability distributions and select partial analog precoders as elites to update the probability distributions. Through iteration, the probability distributions will converge to a stable state and the optimal precoders can be obtained with a sufficiently high probability. Furthermore, we extend the proposed algorithm to multi-user hybrid precoding. The simulation results demonstrate that the proposed algorithm can achieve near-optimal performance of the fully-digital precoding with lower computational complexity than other near-optimal algorithms.
AbstractList In this letter, inspired by the cross-entropy (CE) optimization in machine learning, we propose a CE-based algorithm for hybrid precoding with low-resolution analog phase shifters in millimeter wave (mmWave) multi-input multi-output (MIMO) systems. The main idea is to generate some candidate analog precoders according to a series of pre-defined probability distributions and select partial analog precoders as elites to update the probability distributions. Through iteration, the probability distributions will converge to a stable state and the optimal precoders can be obtained with a sufficiently high probability. Furthermore, we extend the proposed algorithm to multi-user hybrid precoding. The simulation results demonstrate that the proposed algorithm can achieve near-optimal performance of the fully-digital precoding with lower computational complexity than other near-optimal algorithms.
Author Zhang, Yu
Zhang, Zhi
Dong, Xiaodai
Author_xml – sequence: 1
  givenname: Yu
  orcidid: 0000-0002-8208-3537
  surname: Zhang
  fullname: Zhang, Yu
  email: bzzhy@bupt.edu.cn
  organization: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China
– sequence: 2
  givenname: Xiaodai
  orcidid: 0000-0001-7126-5602
  surname: Dong
  fullname: Dong, Xiaodai
  email: xdong@ece.uvic.ca
  organization: Department of Electrical and Computer Engineering, University of Victoria, Victoria, Canada
– sequence: 3
  givenname: Zhi
  orcidid: 0000-0001-8672-6766
  surname: Zhang
  fullname: Zhang, Zhi
  email: zhangzhi@bupt.edu.cn
  organization: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China
BookMark eNp9kE9LAzEQxYNUsK1-Ab0seN46yW42u8da1ApbWv_hMaRJtpuybmqyRfrtTW3x4EEYZobh_YbHG6Bea1uN0CWGEcZQ3JST-Ww2IkBglAChoU5QH1OaxyS0XtghL2LGivwMDbxfA0BOKO6jp5mQtWl1VGrhWtOu4lvhtYqmu6UzKlo4La0K5-jddHVU2q_4WXvbbDtj22jcisauokUdkOilNlWnnT9Hp5VovL44ziF6u797nUzjcv7wOBmXsSQF7WKllKiqlAiZEZlCBVTnmGosKiIgoSphVcIyzFKJlcxAZ1QtBQWxhEQwBiIZouvD342zn1vtO762WxcceU5SxkiapzQLqvygks5673TFpenE3n3nhGk4Br4PkP8EyPcB8mOAASV_0I0zH8Lt_oeuDpDRWv8CBQEMjCTfNwt9_Q
CODEN ICLEF6
CitedBy_id crossref_primary_10_1109_LCOMM_2021_3061884
crossref_primary_10_1109_TVT_2022_3185091
crossref_primary_10_23919_ICN_2023_0019
crossref_primary_10_1109_LCOMM_2022_3211514
crossref_primary_10_1109_TCOMM_2024_3405308
crossref_primary_10_1109_TGCN_2024_3384554
crossref_primary_10_1109_TVT_2023_3245091
crossref_primary_10_3390_s21093019
crossref_primary_10_1109_ACCESS_2021_3078434
crossref_primary_10_1109_TCOMM_2023_3247768
Cites_doi 10.1109/LWC.2019.2960691
10.1109/JSTSP.2016.2523924
10.1109/ICC.2017.7997065
10.1109/JSTSP.2016.2523903
10.1109/TSP.2017.2699643
10.1109/TCOMM.2016.2549517
10.1109/LCOMM.2018.2878712
10.1109/TVT.2017.2670638
10.1109/MCOM.2017.1600400
10.1109/SiPS.2015.7345017
10.1109/JSTSP.2018.2819129
10.1109/TWC.2014.011714.130846
10.1109/TWC.2015.2455980
10.1109/TCOMM.2015.2502954
10.1007/s11009-006-9753-0
10.1109/JSTSP.2016.2520912
10.1109/ICC.2016.7510844
10.1109/JSAC.2017.2698958
10.1109/TSP.2014.2370947
10.1109/COMST.2015.2504600
10.1109/ACCESS.2019.2916883
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2021
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
L7M
DOI 10.1109/LCOMM.2020.3025025
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList
Technology Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1558-2558
EndPage 190
ExternalDocumentID 10_1109_LCOMM_2020_3025025
9201072
Genre orig-research
GrantInformation_xml – fundername: Natural Sciences and Engineering Research Council of Canada
  grantid: RGPIN-2018-03778
  funderid: 10.13039/501100000038
– fundername: Beijing Municipal Science and Technology Project
  grantid: Z181100003218015
  funderid: 10.13039/501100009592
– fundername: Key Project of State Key Laboratory of Networking and Switching Technology
  grantid: NST20180105
  funderid: 10.13039/501100011532
GroupedDBID -~X
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACIWK
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ATWAV
AZLTO
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
HZ~
H~9
IES
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
O9-
OCL
P2P
RIA
RIE
RNS
TN5
VH1
AAYXX
CITATION
7SP
8FD
L7M
ID FETCH-LOGICAL-c295t-dddaff42ac62c40f05e815e1af2a035d37f376174c1dc60e65dba50ab03a770a3
IEDL.DBID RIE
ISSN 1089-7798
IngestDate Mon Jun 30 10:16:21 EDT 2025
Thu Apr 24 22:55:07 EDT 2025
Wed Oct 01 05:59:14 EDT 2025
Wed Aug 27 01:38:19 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c295t-dddaff42ac62c40f05e815e1af2a035d37f376174c1dc60e65dba50ab03a770a3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-8208-3537
0000-0001-7126-5602
0000-0001-8672-6766
PQID 2477248456
PQPubID 85419
PageCount 5
ParticipantIDs proquest_journals_2477248456
crossref_primary_10_1109_LCOMM_2020_3025025
ieee_primary_9201072
crossref_citationtrail_10_1109_LCOMM_2020_3025025
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-Jan.
2021-1-00
20210101
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – month: 01
  year: 2021
  text: 2021-Jan.
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE communications letters
PublicationTitleAbbrev LCOMM
PublicationYear 2021
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
ref15
ref14
ref20
ref11
ref10
ref21
ref2
ref1
ref17
ref16
ref19
ref18
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref9
  doi: 10.1109/LWC.2019.2960691
– ident: ref3
  doi: 10.1109/JSTSP.2016.2523924
– ident: ref19
  doi: 10.1109/ICC.2017.7997065
– ident: ref7
  doi: 10.1109/JSTSP.2016.2523903
– ident: ref8
  doi: 10.1109/TSP.2017.2699643
– ident: ref11
  doi: 10.1109/TCOMM.2016.2549517
– ident: ref10
  doi: 10.1109/LCOMM.2018.2878712
– ident: ref14
  doi: 10.1109/TVT.2017.2670638
– ident: ref2
  doi: 10.1109/MCOM.2017.1600400
– ident: ref6
  doi: 10.1109/SiPS.2015.7345017
– ident: ref15
  doi: 10.1109/JSTSP.2018.2819129
– ident: ref4
  doi: 10.1109/TWC.2014.011714.130846
– ident: ref16
  doi: 10.1109/TWC.2015.2455980
– ident: ref18
  doi: 10.1109/TCOMM.2015.2502954
– ident: ref21
  doi: 10.1007/s11009-006-9753-0
– ident: ref12
  doi: 10.1109/JSTSP.2016.2520912
– ident: ref17
  doi: 10.1109/ICC.2016.7510844
– ident: ref13
  doi: 10.1109/JSAC.2017.2698958
– ident: ref5
  doi: 10.1109/TSP.2014.2370947
– ident: ref1
  doi: 10.1109/COMST.2015.2504600
– ident: ref20
  doi: 10.1109/ACCESS.2019.2916883
SSID ssj0008251
Score 2.4361873
Snippet In this letter, inspired by the cross-entropy (CE) optimization in machine learning, we propose a CE-based algorithm for hybrid precoding with low-resolution...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 186
SubjectTerms Algorithms
cross-entropy
Entropy (Information theory)
Hybrid power systems
hybrid precoding
Iterative methods
Machine learning
Matching pursuit algorithms
Millimeter waves
MIMO
MIMO (control systems)
MIMO communication
mmWave communications
Optimization
Optimized production technology
Phase shifters
Precoding
Probability distribution
Radio frequency
Title Machine Learning-Based Hybrid Precoding With Low-Resolution Analog Phase Shifters
URI https://ieeexplore.ieee.org/document/9201072
https://www.proquest.com/docview/2477248456
Volume 25
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1558-2558
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0008251
  issn: 1089-7798
  databaseCode: RIE
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8MwDI4GJzjwRgwGyoEbdEvTJk2OMDFNiPIQIHar0iRlCLQh6ITg1xOn3YQAIW49xFIUu_bnxP6M0H6uJRcOeQaRKCJoyTGBUKwImFCRJrmRsafMT895_zY-HbBBAx3OemGstb74zLbh07_lm7GewFVZR8LTbeIc7lwieNWrNfO60IJZFdNLhxilmDbIENk5616kqUsFqctQIeTDWOwvQchPVfnhin186S2jdLqzqqzksT0p87b--Eba-N-tr6ClGmjio8oyVlHDjtbQ4hf6wXV0lfpKSotrktX74NjFNIP779DGhS8hWYbQhu8eyiE-G78FcNlfmSoGNpPxPb4cOhF8PXyAWeOvG-i2d3LT7Qf1iIVAU8nKwBijiiKmSnOqY1IQZkXIbKgKqkjETJQUzgO5rEWHRnNiOTO5YkTlJFJJQlS0ieZH45HdQphrB8VCokwkbEwLI0KSS8NpzHXuYKRponB65pmu-cdhDMZT5vMQIjOvpwz0lNV6aqKDmcxzxb7x5-p1OPjZyvrMm6g1VW1W_6CvGY1dWhELBx-3f5faQQsUylf8bUsLzZcvE7vr8EeZ73nD-wQQ99UU
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT-MwEB4hOMAeeO6KLi8f9gYpjmOn9hEQqLANDwGCW-TYDkWs2tWSCsGvx-OkFQKE9paDR7I8k5lv7JlvAH4VRqXSI88okWWCLTk2klqUkZA6MbSwigfK_Ow07V7zk1txOwU7k14Y51woPnNt_Axv-XZoRnhVtqvw6bbjHe6M4JyLultr4nexCbMup1ceMyo5bpGhard3cJZlPhlkPkfFoI-Dsd-EoTBX5YMzDhHmaAGy8d7qwpKH9qgq2ublHW3j_25-EeYbqEn2attYgik3WIZvbwgIV-AiC7WUjjQ0q3fRvo9qlnSfsZGLnGO6jMGN3NxXfdIbPkV43V8bK0E-k-EdOe97EXLZv8dp44_f4fro8OqgGzVDFiLDlKgia60uS860SZnhtKTCyVi4WJdM00TYpFN6H-TzFhNbk1KXCltoQXVBE93pUJ38gOnBcOBWgaTGg7GYaptIx1lpZUwLZVPGU1N4IGlbEI_PPDcNAzkOwviTh0yEqjzoKUc95Y2eWrA9kflb8298uXoFD36ysjnzFqyPVZs3v-hjzrhPLLj0APLn51JbMNu9ynp57_j09xrMMSxmCXcv6zBd_Ru5DY9GqmIzGOErZJjYYQ
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Machine+Learning-Based+Hybrid+Precoding+With+Low-Resolution+Analog+Phase+Shifters&rft.jtitle=IEEE+communications+letters&rft.au=Zhang%2C+Yu&rft.au=Dong%2C+Xiaodai&rft.au=Zhang%2C+Zhi&rft.date=2021-01-01&rft.issn=1089-7798&rft.eissn=1558-2558&rft.volume=25&rft.issue=1&rft.spage=186&rft.epage=190&rft_id=info:doi/10.1109%2FLCOMM.2020.3025025&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_LCOMM_2020_3025025
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1089-7798&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1089-7798&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1089-7798&client=summon