Relay Beamforming Designs in Multi-User Wireless Relay Networks Based on Throughput Maximin Optimization

Beamforming design for multi-user wireless relay networks under the criterion of maximin information throughput is an important but also very hard optimization problem due to its nonconvex nature. The existing approach to reformulate the design as a matrix rank-one constrained optimization problem i...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:IEEE transactions on communications Ročník 61; číslo 5; s. 1739 - 1749
Hlavní autori: Rashid, U., Tuan, H. D., Nguyen, H. H.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York, NY IEEE 01.05.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:
ISSN:0090-6778, 1558-0857
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Beamforming design for multi-user wireless relay networks under the criterion of maximin information throughput is an important but also very hard optimization problem due to its nonconvex nature. The existing approach to reformulate the design as a matrix rank-one constrained optimization problem is highly inefficient. This paper exploits the d.c. (difference of two convex functions) structure of the objective function and the convex structure of the constraints in such a global optimization problem to develop efficient iterative algorithms of very low complexity to find the solutions. Both cases of concurrent and orthogonal transmissions from sources to relays are considered. Numerical results indicate that the proposed algorithms provide solutions that are very close to the upper bound on the solution of the non-orthogonal source transmissions case and are almost equal to the optimal solution of the orthogonal source transmissions case. This demonstrates the ability of the developed algorithms to locate approximations close to the global optimal solutions in a few iterations. Moreover, the proposed methods are superior to other methods in both performance and computation complexity.
AbstractList Beamforming design for multi-user wireless relay networks under the criterion of maximin information throughput is an important but also very hard optimization problem due to its nonconvex nature. The existing approach to reformulate the design as a matrix rank-one constrained optimization problem is highly inefficient. This paper exploits the d.c. (difference of two convex functions) structure of the objective function and the convex structure of the constraints in such a global optimization problem to develop efficient iterative algorithms of very low complexity to find the solutions. Both cases of concurrent and orthogonal transmissions from sources to relays are considered. Numerical results indicate that the proposed algorithms provide solutions that are very close to the upper bound on the solution of the non-orthogonal source transmissions case and are almost equal to the optimal solution of the orthogonal source transmissions case. This demonstrates the ability of the developed algorithms to locate approximations close to the global optimal solutions in a few iterations. Moreover, the proposed methods are superior to other methods in both performance and computation complexity.
Author Tuan, H. D.
Rashid, U.
Nguyen, H. H.
Author_xml – sequence: 1
  givenname: U.
  surname: Rashid
  fullname: Rashid, U.
  email: umar.rashid@student.uts.edu.au
  organization: Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia
– sequence: 2
  givenname: H. D.
  surname: Tuan
  fullname: Tuan, H. D.
  email: tuan.hoang@uts.edu.au
  organization: Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia
– sequence: 3
  givenname: H. H.
  surname: Nguyen
  fullname: Nguyen, H. H.
  email: ha.nguyen@usask.ca
  organization: Dept. of Electr. & Comput. Eng., Univ. of Saskatchewan, Saskatoon, SK, Canada
BackLink http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=27485149$$DView record in Pascal Francis
BookMark eNqNkc1rFDEchoNUcFv9C7wERPAya74_LoJdrQpdF2TFY8imv9lNnU22yQza_vXOdkoPPXl6CTzvm5DnFJ2knAAhTMmcUmLfrxer5XLOCOVzwpgeg44HZp-hGZXSNMRIfYJmhFjSKK3NC3Ra6zUhRBDOZ2j3Azp_i8_B79tc9jFt8SeocZsqjgkvh66Pzc8KBf-KBTqoFU-F79D_yeV3xee-whXOCa93JQ_b3WHo8dL_jeMUXh36Me98H3N6iZ63vqvw6iHP0Pri83rxtblcffm2-HjZBK5J3wRrPISg2yCY3hjBgmw5gBJio7xSghtLubSwUUwYtVHhyraEe2A0MMYIP0PvptlDyTcD1N7tYw3QdT5BHqqjXDMlJTVH9M0T9DoPJY2PGympLBWSyJF6-0D5GnzXFp9CrO5Q4t6XW8e0MJIKO3Jm4kLJtRZoHxFK3NGUuzfljqbcZMpNpsbqhyfVEPv7T-uLj93_DLyeBiIAPN6rhFaKKP4Pu-ikxQ
CODEN IECMBT
CitedBy_id crossref_primary_10_1109_ACCESS_2021_3119318
crossref_primary_10_1109_TWC_2019_2946161
crossref_primary_10_1109_TCOMM_2024_3385912
crossref_primary_10_1049_iet_com_2018_6018
crossref_primary_10_1109_TWC_2014_2324588
crossref_primary_10_1109_TVT_2022_3168371
crossref_primary_10_1109_TVT_2023_3245539
crossref_primary_10_1109_TWC_2017_2749568
crossref_primary_10_1016_j_dsp_2024_104595
crossref_primary_10_1109_TCOMM_2016_2605688
crossref_primary_10_1109_TCOMM_2013_122013_130239
crossref_primary_10_1109_TVT_2023_3349292
crossref_primary_10_1007_s11277_017_3989_6
crossref_primary_10_1109_TCOMM_2016_2631465
Cites_doi 10.1080/002071700219803
10.1007/978-1-4615-4098-4
10.1109/MCOM.2007.4342859
10.1007/978-1-4757-2809-5
10.1109/TIT.2004.838089
10.1109/TSP.2009.2020002
10.1109/ICC.2009.5198922
10.1109/TWC.2006.1638675
10.1109/TWC.2012.021512.111040
10.1109/JSAC.2008.081006
10.1109/TVT.2012.2196531
10.1007/3-540-36978-3_11
10.1109/TWC.2011.081011.102277
10.1109/TWC.2003.819030
10.1109/JSAC.2005.843542
10.1109/GLOCOM.2011.6134324
10.1007/s10898-009-9507-y
10.1002/rnc.807
10.1109/ICASSP.2011.5947075
10.1109/TWC.2008.080109
10.1109/9.839953
10.1109/ICCS.2010.5685982
10.1109/TIT.2005.853304
10.3166/ejc.10.527-538
10.1023/A:1008385006172
10.1109/TSP.2009.2020048
10.1109/TCOMM.2003.818096
10.1080/10556789908805766
10.1109/MCOM.2006.273097
10.1109/WCNC.2012.6214319
10.1137/070685026
ContentType Journal Article
Copyright 2014 INIST-CNRS
Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) May 2013
Copyright_xml – notice: 2014 INIST-CNRS
– notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) May 2013
DBID 97E
RIA
RIE
AAYXX
CITATION
IQODW
7SP
8FD
L7M
F28
FR3
DOI 10.1109/TCOMM.2013.022713.120129
DatabaseName IEEE Xplore (IEEE)
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Pascal-Francis
Electronics & Communications Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
ANTE: Abstracts in New Technology & Engineering
Engineering Research Database
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
Engineering Research Database
ANTE: Abstracts in New Technology & Engineering
DatabaseTitleList
Technology Research Database
Engineering Research Database
Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Applied Sciences
EISSN 1558-0857
EndPage 1749
ExternalDocumentID 2983886311
27485149
10_1109_TCOMM_2013_022713_120129
6476606
Genre orig-research
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
IQODW
RIG
7SP
8FD
L7M
F28
FR3
ID FETCH-LOGICAL-c370t-c98aecc7fc427b842c5f3ee644b6a6643891359eb62486b6cd9f03ae21c22203
IEDL.DBID RIE
ISICitedReferencesCount 18
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000319752600011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0090-6778
IngestDate Sun Sep 28 06:35:23 EDT 2025
Mon Jun 30 10:08:09 EDT 2025
Mon Jul 21 09:12:23 EDT 2025
Tue Nov 18 21:37:44 EST 2025
Sat Nov 29 01:41:32 EST 2025
Wed Aug 27 02:49:09 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 5
Keywords Performance evaluation
Relay
Relay network
maximin optimization
Wireless telecommunication
Information rate
Iterative method
network throughput
d.c. decomposition
Beam forming
Function decomposition
d.c. (difference of two convex functions) programming
Algorithm complexity
Traffic control
amply-and-forward relaying
Convex function
Multiple access
Maximin problem
Flow rate regulation
Teletraffic
Multi-user relay networks
Global optimum
Algorithm
Information transmission
Constrained optimization
Upper bound
Algorithm performance
Optimal solution
Wireless network
Numerical simulation
Objective function
beamforming
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
CC BY 4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c370t-c98aecc7fc427b842c5f3ee644b6a6643891359eb62486b6cd9f03ae21c22203
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ObjectType-Article-2
ObjectType-Feature-1
content type line 23
PQID 1356914505
PQPubID 85472
PageCount 11
ParticipantIDs proquest_miscellaneous_1372655180
proquest_journals_1356914505
pascalfrancis_primary_27485149
crossref_primary_10_1109_TCOMM_2013_022713_120129
ieee_primary_6476606
crossref_citationtrail_10_1109_TCOMM_2013_022713_120129
PublicationCentury 2000
PublicationDate 2013-05-01
PublicationDateYYYYMMDD 2013-05-01
PublicationDate_xml – month: 05
  year: 2013
  text: 2013-05-01
  day: 01
PublicationDecade 2010
PublicationPlace New York, NY
PublicationPlace_xml – name: New York, NY
– name: New York
PublicationTitle IEEE transactions on communications
PublicationTitleAbbrev TCOMM
PublicationYear 2013
Publisher IEEE
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: Institute of Electrical and Electronics Engineers
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref13
ref12
wie (ref5) 2006; 5
ref15
ref14
ref31
ref30
ref33
ref11
ref10
ref2
ref1
ref17
ref19
ref18
tuy (ref16) 1998
apkarian (ref22) 0
ref24
ref23
ref26
ref25
ref20
gastpar (ref32) 2003; 2634
zhou (ref27) 1996
konno (ref21) 1997
ref28
ref29
ref8
ref7
ref9
ref4
ref3
ref6
References_xml – ident: ref20
  doi: 10.1080/002071700219803
– year: 1997
  ident: ref21
  publication-title: Optimization on Low Rank Nonconvex Structures
  doi: 10.1007/978-1-4615-4098-4
– ident: ref7
  doi: 10.1109/MCOM.2007.4342859
– year: 1998
  ident: ref16
  publication-title: Convex Analysis and Global Optimization
  doi: 10.1007/978-1-4757-2809-5
– ident: ref2
  doi: 10.1109/TIT.2004.838089
– ident: ref10
  doi: 10.1109/TSP.2009.2020002
– ident: ref9
  doi: 10.1109/ICC.2009.5198922
– volume: 5
  start-page: 1547
  year: 2006
  ident: ref5
  article-title: Asynchornous cooperative diversity
  publication-title: IEEE Trans Wireless Commun
  doi: 10.1109/TWC.2006.1638675
– ident: ref12
  doi: 10.1109/TWC.2012.021512.111040
– ident: ref29
  doi: 10.1109/JSAC.2008.081006
– ident: ref26
  doi: 10.1109/TVT.2012.2196531
– volume: 2634
  start-page: 162
  year: 2003
  ident: ref32
  article-title: Source-channel communication in sensor neworks
  publication-title: Lecture Notes in Computer Science
  doi: 10.1007/3-540-36978-3_11
– ident: ref15
  doi: 10.1109/TWC.2011.081011.102277
– ident: ref3
  doi: 10.1109/TWC.2003.819030
– ident: ref33
  doi: 10.1109/JSAC.2005.843542
– ident: ref14
  doi: 10.1109/GLOCOM.2011.6134324
– ident: ref30
  doi: 10.1007/s10898-009-9507-y
– year: 1996
  ident: ref27
  publication-title: Robust and Optimal Control
– ident: ref23
  doi: 10.1002/rnc.807
– ident: ref13
  doi: 10.1109/ICASSP.2011.5947075
– ident: ref6
  doi: 10.1109/TWC.2008.080109
– ident: ref18
  doi: 10.1109/9.839953
– ident: ref19
  doi: 10.1109/ICCS.2010.5685982
– ident: ref8
  doi: 10.1109/TIT.2005.853304
– ident: ref24
  doi: 10.3166/ejc.10.527-538
– ident: ref17
  doi: 10.1023/A:1008385006172
– ident: ref11
  doi: 10.1109/TSP.2009.2020048
– ident: ref1
  doi: 10.1109/TCOMM.2003.818096
– start-page: 2238
  year: 0
  ident: ref22
  article-title: A sequential SDP/Gauss-Newton algorithm for rank-constrained LMI problems
  publication-title: Proc 1999 Conf Decision and Control
– ident: ref31
  doi: 10.1080/10556789908805766
– ident: ref4
  doi: 10.1109/MCOM.2006.273097
– ident: ref28
  doi: 10.1109/WCNC.2012.6214319
– ident: ref25
  doi: 10.1137/070685026
SSID ssj0004033
Score 2.1748812
Snippet Beamforming design for multi-user wireless relay networks under the criterion of maximin information throughput is an important but also very hard optimization...
SourceID proquest
pascalfrancis
crossref
ieee
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 1739
SubjectTerms Algorithms
amply-and-forward relaying
Applied sciences
Array signal processing
Beamforming
Complexity
d.c. (difference of two convex functions) programming
d.c. decomposition
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Information, signal and communications theory
Linear programming
Mathematical analysis
Mathematical models
maximin optimization
Multi-user relay networks
network throughput
Optimization
Relay
Relay networks
Relays
Signal and communications theory
Signal to noise ratio
Signal, noise
Studies
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Teletraffic
Throughput
Transmission and modulation (techniques and equipments)
Vectors
Title Relay Beamforming Designs in Multi-User Wireless Relay Networks Based on Throughput Maximin Optimization
URI https://ieeexplore.ieee.org/document/6476606
https://www.proquest.com/docview/1356914505
https://www.proquest.com/docview/1372655180
Volume 61
WOSCitedRecordID wos000319752600011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
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://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3BTtwwEB0B6qEcoC0gllLkShwbcByvHR-BgjiwSw9biVvkOI5Agiwiu1X5-87Y2VAEBzglij1K5DfxjO03MwD7TnCySjaRNsUFSpXxJC9zmXhRao4qNEzzECh8ocfj_OrK_FqCH30sjPc-kM_8Ad2Gs_xq6ua0VXaopFaK8msva61irNZTDCTPuoyTRGfX-YK1w83h5ORyNCIWV3ZACfPwkgraf3lmikJtFWJG2hYHp45VLV5M0MHqnK2_73s_wVrnXbKjqA6fYck3X2D1v5yDG3BN9LdHduztHfmr-Iz9DCyOlt00LMTjJr9RLxnxYm9xHmRRYBz54i07RrtXsWnDJrHEz_18xkb2L1UHY5c4Ad11kZ2bMDk7nZycJ125hcRlms8SZ3KLgOraSaERL-GGdeY9OkylskrJcKI5NL5UQuaqVK4yNc-sF6lDJ4NnW7DSTBu_Dcxp7mppUj-UpbSiMtjRuCozeVn5uuYD0IuBL1yXipwqYtwWYUnCTREgKwiyIkJWRMgGkPaS9zEdxxtkNgiavn-HygD2nmHdt-M6Hd1QiXK7C_CL7sduCxwBZVKJfuMAvvfN-EvSOYtt_HROfbRQlOmO77z-6q_wUYSqGsSb3IWV2cPcf4MP7s_spn3YC3r9D7Ap800
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1Nb9QwEB1VLRJwKB8FsVCKkTiS1nEcOz7SlqqI3S2HIPVmOY4jKrXZqtlF8O-ZcbKhFRzglCj2KJHfxDO238wAvPOCk1VyiXQpLlDqjCdFVcgkiEpzVKE8LWKg8FTP58X5ufmyAe_HWJgQQiSfhX26jWf59cKvaKvsQEmtFOXX3sqlFLyP1vodBcmzIeckEdp1sebtcHNQHp3NZsTjyvYpZR5eUkE7MHeMUayuQtxI1-HwNH1diz-m6Gh3Th793xc_hu3Bv2QfeoV4AhuhfQoPb2Ud3IFvRID7yQ6DuyKPFZ-x48jj6NhFy2JEbvIVNZMRM_YSZ0LWC8x7xnjHDtHy1WzRsrIv8nO9WrKZ-0H1wdgZTkFXQ2znMyhPPpZHp8lQcCHxmebLxJvCIaS68VJoREz4vMlCQJepUk4pGc80cxMqJWShKuVr0_DMBZF6dDN49hw220UbXgDzmvtGmjTkspJO1AY7Gl9npqjq0DR8Ano98NYPycipJsaljYsSbmyEzBJktofM9pBNIB0lr_uEHP8gs0PQjP0HVCawdwfrsR1X6uiISpTbXYNvh1-7szgCyqQSPccJvB2b8aekkxbXhsWK-mihKNcdf_n3V7-B-6flbGqnn-afX8EDEWtsEItyFzaXN6vwGu7578uL7mYv6vgvear2lA
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=Relay+Beamforming+Designs+in+Multi-User+Wireless+Relay+Networks+Based+on+Throughput+Maximin+Optimization&rft.jtitle=IEEE+transactions+on+communications&rft.au=Rashid%2C+U&rft.au=Tuan%2C+H+D&rft.au=Nguyen%2C+H+H&rft.date=2013-05-01&rft.issn=0090-6778&rft.volume=61&rft.issue=5&rft.spage=1739&rft.epage=1749&rft_id=info:doi/10.1109%2FTCOMM.2013.022713.120129&rft.externalDBID=NO_FULL_TEXT
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