Robust Max-Min Energy Efficiency for RIS-Aided HetNets With Distortion Noises

The energy efficiency (EE) of femtocells is always limited by the surrounding radio environments in heterogeneous networks (HetNets), such as walls and obstacles. In this paper, we propose to deploy reconfigurable intelligent surfaces (RISs) to improve the EE of femtocells. However, perfect channel...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on communications Vol. 70; no. 2; pp. 1457 - 1471
Main Authors Xu, Yongjun, Xie, Hao, Wu, Qingqing, Huang, Chongwen, Yuen, Chau
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text
ISSN0090-6778
1558-0857
DOI10.1109/TCOMM.2022.3141798

Cover

Abstract The energy efficiency (EE) of femtocells is always limited by the surrounding radio environments in heterogeneous networks (HetNets), such as walls and obstacles. In this paper, we propose to deploy reconfigurable intelligent surfaces (RISs) to improve the EE of femtocells. However, perfect channel state information is more difficult to obtain due to the passive characteristics of RISs and non-cooperative relationship between different tiers. Besides, the low-cost transceivers and reflecting units suffer nontrivial hardware impairments (HWIs) due to the hardware limitations of practical systems. To this end, we investigate a realistic robust beamforming design based on max-min fairness for an RIS-aided HetNet under channel uncertainties and residual HWIs. The joint optimization of transmit beamforming vectors of femto base stations (FBSs) and the phase-shift matrices of RISs is formulated as a non-convex problem to maximize the minimum EE of the femtocell subject to the constraints of the maximum transmit power of FBSs, the quality of service of users, and unit modulus phase-shift constraints of RISs. We develop an iterative block coordinate descent-based algorithm which exploits the semi-definite relaxation, the S-procedure, and the singular value decomposition method. Simulation results reveal that the proposed algorithm outperforms existing algorithms in terms of fairness, EE, and outage probability.
AbstractList The energy efficiency (EE) of femtocells is always limited by the surrounding radio environments in heterogeneous networks (HetNets), such as walls and obstacles. In this paper, we propose to deploy reconfigurable intelligent surfaces (RISs) to improve the EE of femtocells. However, perfect channel state information is more difficult to obtain due to the passive characteristics of RISs and non-cooperative relationship between different tiers. Besides, the low-cost transceivers and reflecting units suffer nontrivial hardware impairments (HWIs) due to the hardware limitations of practical systems. To this end, we investigate a realistic robust beamforming design based on max-min fairness for an RIS-aided HetNet under channel uncertainties and residual HWIs. The joint optimization of transmit beamforming vectors of femto base stations (FBSs) and the phase-shift matrices of RISs is formulated as a non-convex problem to maximize the minimum EE of the femtocell subject to the constraints of the maximum transmit power of FBSs, the quality of service of users, and unit modulus phase-shift constraints of RISs. We develop an iterative block coordinate descent-based algorithm which exploits the semi-definite relaxation, the S-procedure, and the singular value decomposition method. Simulation results reveal that the proposed algorithm outperforms existing algorithms in terms of fairness, EE, and outage probability.
Author Huang, Chongwen
Wu, Qingqing
Yuen, Chau
Xu, Yongjun
Xie, Hao
Author_xml – sequence: 1
  givenname: Yongjun
  orcidid: 0000-0002-3588-0461
  surname: Xu
  fullname: Xu, Yongjun
  email: xuyj@cqupt.edu.cn
  organization: School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China
– sequence: 2
  givenname: Hao
  surname: Xie
  fullname: Xie, Hao
  email: haoxie2445@gmail.com
  organization: School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, China
– sequence: 3
  givenname: Qingqing
  orcidid: 0000-0002-0043-3266
  surname: Wu
  fullname: Wu, Qingqing
  email: qingqingwu@um.edu.mo
  organization: State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China
– sequence: 4
  givenname: Chongwen
  surname: Huang
  fullname: Huang, Chongwen
  email: chongwenhuang@zju.edu.cn
  organization: College of Information Science and Electronic Engineering, Zhejiang University, Hangzhou, China
– sequence: 5
  givenname: Chau
  orcidid: 0000-0002-9307-2120
  surname: Yuen
  fullname: Yuen, Chau
  email: yuenchau@sutd.edu.sg
  organization: Engineering Product Development (EPD) Pillar, Singapore University of Technology and Design, Singapore
BookMark eNp9kMFKAzEQhoMoWKsvoJeA562TZHeTHKVWK3RbqIrHJc3OakQ3mqRg396tFQ8ehIG5_N_8zHdE9jvfISGnDEaMgb64Hy-qasSB85FgOZNa7ZEBKwqVgSrkPhkAaMhKKdUhOYrxBQByEGJAqqVfrWOilfnMKtfRSYfhaUMnbeusw85uaOsDXd7eZZeuwYZOMc0xRfro0jO9cjH5kJzv6Ny7iPGYHLTmNeLJzx6Sh-vJ_XiazRY3t-PLWWa5LlKWcyvsqpCqYUaqUhguGDCLAJazxqBFJhvV5NoKgW1RrgBtIbk2ZgVacRRDcr67-x78xxpjql_8OnR9Zc1LrhnPVc76FN-lbPAxBmzr9-DeTNjUDOqttvpbW73VVv9o6yH1B7Iume2PKRj3-j96tkMdIv526VKW_YgvxM578w
CODEN IECMBT
CitedBy_id crossref_primary_10_1109_TVT_2023_3347769
crossref_primary_10_1109_TWC_2024_3380841
crossref_primary_10_1007_s11276_022_03167_7
crossref_primary_10_1109_TVT_2023_3269905
crossref_primary_10_1002_dac_5734
crossref_primary_10_1016_j_phycom_2022_101795
crossref_primary_10_1016_j_phycom_2022_101797
crossref_primary_10_1016_j_phycom_2022_101995
crossref_primary_10_1016_j_phycom_2024_102445
crossref_primary_10_1109_TCCN_2024_3407096
crossref_primary_10_1109_TVT_2024_3416535
crossref_primary_10_1109_TVT_2023_3306939
crossref_primary_10_1016_j_comcom_2023_02_020
crossref_primary_10_1016_j_neucom_2022_07_007
crossref_primary_10_1109_LCOMM_2024_3451700
crossref_primary_10_1016_j_aeue_2022_154425
crossref_primary_10_1038_s41598_024_73693_1
crossref_primary_10_1109_JIOT_2022_3183128
crossref_primary_10_1109_JIOT_2024_3477422
crossref_primary_10_1109_TCCN_2024_3438354
crossref_primary_10_1109_TCOMM_2023_3296631
crossref_primary_10_1016_j_aeue_2023_154903
crossref_primary_10_1109_TVT_2023_3305330
crossref_primary_10_1109_JSEN_2024_3432665
crossref_primary_10_1109_JSTSP_2022_3221671
crossref_primary_10_1109_JIOT_2023_3332038
crossref_primary_10_1109_TGCN_2024_3398362
crossref_primary_10_1109_JSAS_2024_3421391
crossref_primary_10_1109_TGCN_2024_3354986
crossref_primary_10_1007_s11276_025_03936_0
crossref_primary_10_1109_TNSM_2024_3436942
crossref_primary_10_1016_j_phycom_2024_102459
crossref_primary_10_1109_MNET_001_2100675
crossref_primary_10_1109_JIOT_2025_3532892
crossref_primary_10_1109_TVT_2022_3221538
crossref_primary_10_1109_JIOT_2023_3289181
crossref_primary_10_1109_TVT_2024_3423829
crossref_primary_10_1007_s11276_022_03037_2
crossref_primary_10_1109_JIOT_2023_3240395
crossref_primary_10_1109_TCCN_2023_3324636
crossref_primary_10_1109_TCOMM_2022_3185646
crossref_primary_10_1109_TVT_2023_3277712
crossref_primary_10_1109_JIOT_2022_3181156
crossref_primary_10_1109_JIOT_2022_3228868
crossref_primary_10_1109_JSYST_2024_3379456
crossref_primary_10_1109_LWC_2023_3241644
crossref_primary_10_1109_OJCOMS_2024_3392359
crossref_primary_10_1109_TCOMM_2024_3451617
crossref_primary_10_1109_JSYST_2022_3230775
crossref_primary_10_1109_TWC_2023_3334469
crossref_primary_10_1016_j_phycom_2024_102384
crossref_primary_10_1109_IOTM_001_2300132
crossref_primary_10_1109_TVT_2024_3443131
crossref_primary_10_1109_JSYST_2023_3304314
crossref_primary_10_1109_TWC_2022_3213614
crossref_primary_10_1109_JIOT_2024_3468888
crossref_primary_10_1016_j_dsp_2023_104348
crossref_primary_10_1109_LCOMM_2022_3204489
crossref_primary_10_1016_j_phycom_2023_102147
crossref_primary_10_1109_TWC_2024_3422026
crossref_primary_10_1109_TVT_2022_3205448
crossref_primary_10_1016_j_aej_2023_03_057
crossref_primary_10_1109_JIOT_2024_3403972
crossref_primary_10_1109_TCCN_2022_3220791
crossref_primary_10_1109_TCOMM_2024_3411769
crossref_primary_10_1109_JIOT_2023_3262517
crossref_primary_10_1109_JIOT_2024_3361850
crossref_primary_10_1016_j_phycom_2022_101967
crossref_primary_10_1049_cmu2_12446
crossref_primary_10_1109_TVT_2022_3175459
crossref_primary_10_1186_s13638_022_02155_x
crossref_primary_10_1109_JIOT_2023_3269947
crossref_primary_10_1109_IOTM_001_2300141
crossref_primary_10_1109_LWC_2024_3454728
crossref_primary_10_1016_j_phycom_2024_102352
crossref_primary_10_3390_fi16010020
crossref_primary_10_3390_s22072436
crossref_primary_10_1109_TCE_2023_3320661
crossref_primary_10_1109_TCOMM_2023_3315309
crossref_primary_10_1109_JIOT_2024_3401042
crossref_primary_10_1016_j_comcom_2023_07_038
crossref_primary_10_1016_j_phycom_2022_101983
crossref_primary_10_1016_j_phycom_2024_102356
crossref_primary_10_1109_ACCESS_2025_3527228
crossref_primary_10_1109_LCOMM_2024_3417482
crossref_primary_10_1109_TCCN_2022_3188986
crossref_primary_10_1109_TVT_2023_3234724
crossref_primary_10_1016_j_jiixd_2023_06_003
crossref_primary_10_1109_LSP_2022_3181783
crossref_primary_10_3390_s22218274
Cites_doi 10.1109/TCOMM.2014.2328574
10.1109/TCOMM.2020.3033006
10.1109/TWC.2019.2922609
10.1109/TWC.2014.2314654
10.1109/TSP.2014.2354312
10.1109/JIOT.2017.2717853
10.1109/JSAC.2020.3007043
10.1109/TCCN.2021.3070587
10.1109/TCOMM.2021.3116151
10.1109/TCOMM.2019.2942308
10.1109/TWC.2021.3107306
10.1109/TCOMM.2020.3024621
10.1109/JIOT.2021.3072965
10.1109/TWC.2015.2420095
10.1109/JSAC.2016.2544538
10.1109/COMST.2016.2594120
10.1109/LCOMM.2020.3039811
10.1109/TCOMM.2020.3033575
10.1109/TWC.2021.3068225
10.1109/TVT.2017.2710188
10.1109/LWC.2020.2968303
10.1109/TVT.2015.2504428
10.1109/TWC.2013.022013.121111
10.1109/TSP.2019.2920612
10.1109/ICC40277.2020.9149205
10.1109/LCOMM.2015.2498151
10.1109/LCOMM.2020.2997027
10.1109/TCOMM.2017.2783628
10.1109/TII.2019.2951728
10.1109/TWC.2019.2936025
10.1017/CBO9780511804441
10.1109/TCOMM.2017.2763623
10.1109/TCOMM.2018.2885999
10.1109/MSP.2010.936019
10.1109/TCOMM.2021.3051897
10.1109/LCOMM.2020.3044936
10.1109/LWC.2018.2792468
10.1109/TIT.2014.2354403
10.1109/TVT.2014.2313460
10.1287/mnsc.13.7.492
10.1109/TVT.2021.3077477
10.1109/TVT.2020.3011308
10.1109/TWC.2020.3004330
10.1109/LWC.2020.2990431
10.1109/LWC.2021.3064992
10.1109/MCOM.001.1900107
10.1109/LWC.2020.3006837
10.1109/MWC.001.1900534
10.1109/LWC.2020.3044989
10.1109/TVT.2018.2881314
10.1109/LCOMM.2019.2924214
10.1109/COMST.2021.3059896
10.1109/TWC.2016.2606394
10.1109/TVT.2020.3024005
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2022
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
8FD
L7M
DOI 10.1109/TCOMM.2022.3141798
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 1558-0857
EndPage 1471
ExternalDocumentID 10_1109_TCOMM_2022_3141798
9676676
Genre orig-research
GrantInformation_xml – fundername: Natural Science Foundation of Chongqing
  grantid: cstc2019jcyj-xfkxX0002
  funderid: 10.13039/501100005230
– fundername: Distinguished Young Scholars of the National Natural Science Foundation of China, the Zhejiang University Education Foundation Qizhen Scholar Foundation, and the Fundamental Research Funds for the Central Universities
  grantid: 2021FZZX001-21
  funderid: 10.13039/501100001809
– fundername: National Natural Science Foundation of China
  grantid: 61601071; 62101492
  funderid: 10.13039/501100001809
– fundername: Zhejiang Provincial Natural Science Foundation of China
  grantid: LR22F010002
  funderid: 10.13039/501100004731
– fundername: China National Key R&D Program
  grantid: 2021YFA1000500; FDCT (0119/2020/A3, 0108/2020/A); SKLIOTSC(UM)-2021-2023; GDST (2021A1515011900, 2020B1212030003)
– fundername: Ministry of Education (MOE)
  grantid: (MOE-000168-01)
  funderid: 10.13039/100010002
GroupedDBID -~X
.DC
0R~
29I
3EH
4.4
5GY
5VS
6IK
85S
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABFSI
ABQJQ
ABVLG
ACGFO
ACGFS
ACIWK
ACKIV
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
E.L
EBS
EJD
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IES
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MS~
O9-
OCL
P2P
RIA
RIE
RNS
TAE
TN5
VH1
ZCA
ZCG
AAYXX
CITATION
7SP
8FD
L7M
ID FETCH-LOGICAL-c295t-42c3cb578d1a7863a23101ce00c21daece17d8d49c33ef56b0ec5729aab0982e3
IEDL.DBID RIE
ISSN 0090-6778
IngestDate Mon Jun 30 10:19:01 EDT 2025
Thu Apr 24 23:12:22 EDT 2025
Wed Oct 01 03:32:31 EDT 2025
Wed Aug 27 02:49:53 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 2
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-42c3cb578d1a7863a23101ce00c21daece17d8d49c33ef56b0ec5729aab0982e3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-9307-2120
0000-0002-3588-0461
0000-0002-0043-3266
PQID 2629124841
PQPubID 85472
PageCount 15
ParticipantIDs proquest_journals_2629124841
crossref_primary_10_1109_TCOMM_2022_3141798
ieee_primary_9676676
crossref_citationtrail_10_1109_TCOMM_2022_3141798
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2022-02-01
PublicationDateYYYYMMDD 2022-02-01
PublicationDate_xml – month: 02
  year: 2022
  text: 2022-02-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on communications
PublicationTitleAbbrev TCOMM
PublicationYear 2022
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
ref56
ref15
ref14
ref53
ref52
ref11
ref55
ref10
ref54
ref17
ref16
ref19
ref18
ref51
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
Ni (ref29) 2021
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref33
ref32
ref2
ref1
ref39
ref38
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
Xie (ref30) 2021
References_xml – ident: ref40
  doi: 10.1109/TCOMM.2014.2328574
– ident: ref27
  doi: 10.1109/TCOMM.2020.3033006
– ident: ref12
  doi: 10.1109/TWC.2019.2922609
– ident: ref50
  doi: 10.1109/TWC.2014.2314654
– ident: ref54
  doi: 10.1109/TSP.2014.2354312
– ident: ref3
  doi: 10.1109/JIOT.2017.2717853
– ident: ref19
  doi: 10.1109/JSAC.2020.3007043
– ident: ref35
  doi: 10.1109/TCCN.2021.3070587
– ident: ref22
  doi: 10.1109/TCOMM.2021.3116151
– ident: ref48
  doi: 10.1109/TCOMM.2019.2942308
– ident: ref28
  doi: 10.1109/TWC.2021.3107306
– ident: ref17
  doi: 10.1109/TCOMM.2020.3024621
– ident: ref49
  doi: 10.1109/JIOT.2021.3072965
– ident: ref33
  doi: 10.1109/TWC.2015.2420095
– ident: ref41
  doi: 10.1109/JSAC.2016.2544538
– ident: ref2
  doi: 10.1109/COMST.2016.2594120
– ident: ref18
  doi: 10.1109/LCOMM.2020.3039811
– ident: ref34
  doi: 10.1109/TCOMM.2020.3033575
– ident: ref37
  doi: 10.1109/TWC.2021.3068225
– ident: ref44
  doi: 10.1109/TVT.2017.2710188
– ident: ref14
  doi: 10.1109/LWC.2020.2968303
– year: 2021
  ident: ref30
  article-title: Modeling and coverage analysis for RIS-aided NOMA transmissions in heterogeneous networks
  publication-title: arXiv:2104.13182
– ident: ref32
  doi: 10.1109/TVT.2015.2504428
– ident: ref9
  doi: 10.1109/TWC.2013.022013.121111
– ident: ref11
  doi: 10.1109/TSP.2019.2920612
– ident: ref55
  doi: 10.1109/ICC40277.2020.9149205
– ident: ref4
  doi: 10.1109/LCOMM.2015.2498151
– year: 2021
  ident: ref29
  article-title: STAR-RIS enabled heterogeneous networks: Ubiquitous NOMA communication and pervasive federated learning
  publication-title: arXiv:2106.08592
– ident: ref43
  doi: 10.1109/LCOMM.2020.2997027
– ident: ref45
  doi: 10.1109/TCOMM.2017.2783628
– ident: ref5
  doi: 10.1109/TII.2019.2951728
– ident: ref13
  doi: 10.1109/TWC.2019.2936025
– ident: ref51
  doi: 10.1017/CBO9780511804441
– ident: ref8
  doi: 10.1109/TCOMM.2017.2763623
– ident: ref10
  doi: 10.1109/TCOMM.2018.2885999
– ident: ref52
  doi: 10.1109/MSP.2010.936019
– ident: ref23
  doi: 10.1109/TCOMM.2021.3051897
– ident: ref56
  doi: 10.1109/LCOMM.2020.3044936
– ident: ref7
  doi: 10.1109/LWC.2018.2792468
– ident: ref31
  doi: 10.1109/TIT.2014.2354403
– ident: ref53
  doi: 10.1109/TVT.2014.2313460
– ident: ref47
  doi: 10.1287/mnsc.13.7.492
– ident: ref20
  doi: 10.1109/TVT.2021.3077477
– ident: ref26
  doi: 10.1109/TVT.2020.3011308
– ident: ref46
  doi: 10.1109/TWC.2020.3004330
– ident: ref36
  doi: 10.1109/LWC.2020.2990431
– ident: ref38
  doi: 10.1109/LWC.2021.3064992
– ident: ref24
  doi: 10.1109/MCOM.001.1900107
– ident: ref16
  doi: 10.1109/LWC.2020.3006837
– ident: ref21
  doi: 10.1109/MWC.001.1900534
– ident: ref39
  doi: 10.1109/LWC.2020.3044989
– ident: ref42
  doi: 10.1109/TVT.2018.2881314
– ident: ref25
  doi: 10.1109/LCOMM.2019.2924214
– ident: ref1
  doi: 10.1109/COMST.2021.3059896
– ident: ref6
  doi: 10.1109/TWC.2016.2606394
– ident: ref15
  doi: 10.1109/TVT.2020.3024005
SSID ssj0004033
Score 2.6791375
Snippet The energy efficiency (EE) of femtocells is always limited by the surrounding radio environments in heterogeneous networks (HetNets), such as walls and...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1457
SubjectTerms Algorithms
Array signal processing
Beamforming
Cellular communication
Energy efficiency
Femtocells
Hardware
hardware impairments
Heterogeneous networks
Interference
Mathematical analysis
max-min fairness
Optimization
Phase shift
RIS
robust beamforming
Robustness
Singular value decomposition
System performance
Uncertainty
Wireless communication
Title Robust Max-Min Energy Efficiency for RIS-Aided HetNets With Distortion Noises
URI https://ieeexplore.ieee.org/document/9676676
https://www.proquest.com/docview/2629124841
Volume 70
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1558-0857
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004033
  issn: 0090-6778
  databaseCode: RIE
  dateStart: 19720101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1LT8MwDLZgJzjwRoyXcuAGHWnSpu0RjaGB1CHxENyqJnHFBNoQ7STErydJu_EU4tZDUkV2XNu1v88AB1wntrgnPeMcuRf4hbG5uBBeIY3vYqJgobIV3XQg-rfBxX14PwdHMywMIrrmM-zYR1fL12M1sb_KjhMR2ZbMeZiPYlFjtT4wkJQ3jJO2nT2KpwAZmhzfdC_T1KSCjJkM1U7cir84ITdV5cen2PmXs2VIpyer20oeO5NKdtTbN9LG_x59BZaaQJOc1DdjFeZwtAaLn-gH1yG9GstJWZE0f_XS4Yj0HA6Q9ByrhIVkEhPRkqvza-9kqFGTPlYDrEpyN6weyKnjF7FqJYPxsMRyA27PejfdvteMV_AUS8LKC5jiShqL1X5u5MlzG-r5CilVzNc5KvQjHesgUZxjEQpJUYUmFs9zSZOYId-E1mg8wi0gGGulGIaB5auXGOVM2PKlyimPUFDVBn8q70w13ON2BMZT5nIQmmROR5nVUdboqA2Hsz3PNfPGn6vXrdBnKxt5t2F3qtasMc4yY4IlJqyJA3_79107sGDfXTdn70Krepngnok9KrnvLt07vVnTKw
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3fT9swED4V9gA8bPwU3Rj4YW-Q4tiJkzwiVtQC6aTSCt6i2L5o1VCLSCqh_fWznbQwhtDe8mAr1p0v913u7juAb1wnNrknPeMcuRf4hbG5uBBeIY3vYqJgobIZ3XQgeuPg8i68a8HJshcGEV3xGXbso8vl65ma219lp4mIbEnmCnwIgyAI626t5y5IyhvOSVvQHsWLFhmanI7Of6SpCQYZMzGqnbkV_-WG3FyVfz7GzsNcfIJ0cba6sORXZ17Jjvr9irbxfw-_CR8bqEnO6ruxBS2cbsPGCwLCHUiHMzkvK5LmT146mZKu6wQkXccrYZsyicG0ZNi_8c4mGjXpYTXAqiS3k-on-e4YRqxiyWA2KbHchfFFd3Te85oBC55iSVh5AVNcSWOz2s-jWPDcgj1fIaWK-TpHhX6kYx0kinMsQiEpqtCg8TyXNIkZ8j1Ync6muA8EY60UQ6MXY-ASo5wJm8BUOeURCqra4C_knamGfdwOwbjPXBRCk8zpKLM6yhodteF4ueeh5t54d_WOFfpyZSPvNhws1Jo15llmTLDEAJs48D-_vesI1nqj9Dq77g-uvsC6fU9dqn0Aq9XjHL8aJFLJQ3cB_wD30NZ4
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=Robust+Max-Min+Energy+Efficiency+for+RIS-Aided+HetNets+With+Distortion+Noises&rft.jtitle=IEEE+transactions+on+communications&rft.au=Xu%2C+Yongjun&rft.au=Xie%2C+Hao&rft.au=Wu%2C+Qingqing&rft.au=Huang%2C+Chongwen&rft.date=2022-02-01&rft.issn=0090-6778&rft.eissn=1558-0857&rft.volume=70&rft.issue=2&rft.spage=1457&rft.epage=1471&rft_id=info:doi/10.1109%2FTCOMM.2022.3141798&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TCOMM_2022_3141798
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0090-6778&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0090-6778&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0090-6778&client=summon