The Optimal Distance Threshold for Fractional Frequency Reuse in Size-Scalable Networks

In the fractional frequency reuse (FFR) system, the bandwidth is partitioned into orthogonal subbands such that users in the cell-center region use the subbands of a frequency reuse factor (FR factor) equal to 1, whereas users in the cell-edge region exploit the subbands of an FR factor larger than...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on aerospace and electronic systems Vol. 56; no. 1; pp. 527 - 546
Main Authors Chang, Seok-Ho, Kim, Sang-Hyo, Choi, Jihwan P.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text
ISSN0018-9251
1557-9603
DOI10.1109/TAES.2019.2943048

Cover

Loading…
Abstract In the fractional frequency reuse (FFR) system, the bandwidth is partitioned into orthogonal subbands such that users in the cell-center region use the subbands of a frequency reuse factor (FR factor) equal to 1, whereas users in the cell-edge region exploit the subbands of an FR factor larger than 1. The distance threshold, which is used to distinguish the cell-edge region from the cell-center region, is an important factor in FFR system performance. In this paper, we study the optimal distance threshold to maximize system throughput in the downlink cellular networks, including aerial base stations. Subject to the constraint that a given target outage probability is satisfied, the optimal distance threshold is analyzed as a function of the cell size. It is proven that when the sizes of all cells in the network are scaled at the same rate, the optimal distance threshold normalized by the cell size is nondecreasing in the cell size. The analytical results in this paper provide a system design guideline for initial planning of FFR cellular networks of different sizes, including macro, pico, and femto systems. In particular, for size-scalable aerial networks comprising base stations in the sky, such as balloons or unmanned aerial vehicles, our analysis offers insight into the design of the distance threshold with regard to the cell size.
AbstractList In the fractional frequency reuse (FFR) system, the bandwidth is partitioned into orthogonal subbands such that users in the cell-center region use the subbands of a frequency reuse factor (FR factor) equal to 1, whereas users in the cell-edge region exploit the subbands of an FR factor larger than 1. The distance threshold, which is used to distinguish the cell-edge region from the cell-center region, is an important factor in FFR system performance. In this paper, we study the optimal distance threshold to maximize system throughput in the downlink cellular networks, including aerial base stations. Subject to the constraint that a given target outage probability is satisfied, the optimal distance threshold is analyzed as a function of the cell size. It is proven that when the sizes of all cells in the network are scaled at the same rate, the optimal distance threshold normalized by the cell size is nondecreasing in the cell size. The analytical results in this paper provide a system design guideline for initial planning of FFR cellular networks of different sizes, including macro, pico, and femto systems. In particular, for size-scalable aerial networks comprising base stations in the sky, such as balloons or unmanned aerial vehicles, our analysis offers insight into the design of the distance threshold with regard to the cell size.
Author Chang, Seok-Ho
Choi, Jihwan P.
Kim, Sang-Hyo
Author_xml – sequence: 1
  givenname: Seok-Ho
  orcidid: 0000-0002-8982-6954
  surname: Chang
  fullname: Chang, Seok-Ho
  email: seokho@dankook.ac.kr
  organization: Dankook University, Yongin, South Korea
– sequence: 2
  givenname: Sang-Hyo
  orcidid: 0000-0002-0660-5516
  surname: Kim
  fullname: Kim, Sang-Hyo
  email: iamshkim@skku.edu
  organization: Sungkyunkwan University, Suwon, South Korea
– sequence: 3
  givenname: Jihwan P.
  orcidid: 0000-0001-7996-5507
  surname: Choi
  fullname: Choi, Jihwan P.
  email: jhchoi@dgist.ac.kr
  organization: Daegu Gyeongbuk Institute of Science and Technology, Daegu, South Korea
BookMark eNp9kE9Lw0AQxRepYFv9AOJlwXPq_stmcyy1VaFYsBGPYXczoakxqbspUj-9G1o8eHAuwwzvDW9-IzRo2gYQuqZkQilJ77LpfD1hhKYTlgpOhDpDQxrHSZRKwgdoSAhVUcpieoFG3m_DKJTgQ_SWbQCvdl31oWt8X_lONxZwtnHgN21d4LJ1eOG07aq2CYqFg889NPaAX2DvAVcNXlffEK2trrWpAT9D99W6d3-Jzktde7g69TF6Xcyz2WO0XD08zabLyLKUdxFYUxitaAkiVCm0NhSkYiYpSRyrRDBiqCotJVwbaQ2BNKwSLlVSmkIVfIxuj3d3rg3JfJdv270LUX3OeCwkZZKRoEqOKuta7x2Uua063f_UOV3VOSV5TzHvKeY9xfxEMTjpH-fOBVbu8K_n5uipAOBXr5TkqZD8B4Xmf7I
CODEN IEARAX
CitedBy_id crossref_primary_10_1109_MAES_2021_3072690
crossref_primary_10_3390_electronics11152281
crossref_primary_10_1109_OJAP_2020_3044460
crossref_primary_10_12720_jcm_15_11_796_807
crossref_primary_10_3390_app112110298
crossref_primary_10_3390_s23218925
crossref_primary_10_24003_emitter_v9i2_627
Cites_doi 10.1109/MCOM.2016.7470934
10.1109/TIT.2003.810646
10.1109/TWC.2016.2553660
10.1109/TCOMM.2012.061112.110477
10.1109/PIMRC.2007.4394228
10.1109/TAES.2018.2864468
10.1109/MCOM.2016.7470932
10.1016/j.adhoc.2012.06.014
10.1109/MAES.2013.6516147
10.1109/TWC.2008.060539
10.1109/TAES.2014.130012
10.1109/MCOM.2009.4907410
10.1109/TVT.2013.2284337
10.1109/VETECF.2008.381
10.1109/MCOM.2016.7470933
10.1109/TWC.2005.850325
10.1049/iet-com.2014.0950
10.1109/ICC.2016.7510820
10.1109/TWC.2012.061912.110655
10.1109/TIT.2007.915884
10.1109/MCOM.2009.4907406
10.1109/TWC.2017.2751045
10.1109/TCOMM.2013.031213.120260
10.1109/TCOMM.2018.2859326
10.1109/TIT.2003.809594
10.1109/TIT.2003.817426
10.1109/TIT.2006.871595
10.1109/MCOM.2010.5534591
10.1109/TAES.2011.5937283
10.1109/18.771146
10.1109/TCOMM.2013.022713.120340
10.1109/GLOCOM.2006.917
10.1109/LWC.2014.2342736
10.1109/TAES.2017.2761139
10.1109/TIT.2003.817429
10.1109/TWC.2011.100611.110181
10.1109/TCOMM.2017.2669029
10.1109/JPROC.2011.2161737
10.1109/GLOCOM.2014.7037248
10.1109/TCOMM.2014.2358211
10.1109/TIT.2011.2146610
10.1109/TCOMM.2015.2465907
10.1109/TAES.2019.2894892
10.1109/MAES.2008.4493436
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
7TB
8FD
FR3
H8D
L7M
DOI 10.1109/TAES.2019.2943048
DatabaseName IEEE Xplore (IEEE)
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
Aerospace Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Aerospace Database
Engineering Research Database
Technology Research Database
Mechanical & Transportation Engineering Abstracts
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList Aerospace 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 1557-9603
EndPage 546
ExternalDocumentID 10_1109_TAES_2019_2943048
8863946
Genre orig-research
GrantInformation_xml – fundername: National Research Foundation of Korea
  funderid: 10.13039/501100003725
– fundername: Information Technology Research Center
  grantid: IITP-2019-2015-0-00363
– fundername: Ministry of Science and Technology
  grantid: 2017R1A2B4011148
  funderid: 10.13039/100007225
– fundername: Korea government
  grantid: 2019-0-01460
GroupedDBID -~X
0R~
29I
4.4
41~
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
F5P
H~9
IAAWW
IBMZZ
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
OCL
P2P
RIA
RIE
RNS
TN5
VH1
AAYOK
AAYXX
CITATION
RIG
7SP
7TB
8FD
FR3
H8D
L7M
ID FETCH-LOGICAL-c293t-ecbdba81fe4444f4aab1e682b7f05587420b18fc103ab6cb0e942073687fbd8d3
IEDL.DBID RIE
ISSN 0018-9251
IngestDate Mon Jun 30 10:16:30 EDT 2025
Thu Apr 24 23:12:38 EDT 2025
Tue Jul 01 00:48:30 EDT 2025
Wed Aug 27 06:30:03 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-c293t-ecbdba81fe4444f4aab1e682b7f05587420b18fc103ab6cb0e942073687fbd8d3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-8982-6954
0000-0002-0660-5516
0000-0001-7996-5507
PQID 2354612620
PQPubID 85477
PageCount 20
ParticipantIDs proquest_journals_2354612620
crossref_primary_10_1109_TAES_2019_2943048
crossref_citationtrail_10_1109_TAES_2019_2943048
ieee_primary_8863946
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2020-02-01
PublicationDateYYYYMMDD 2020-02-01
PublicationDate_xml – month: 02
  year: 2020
  text: 2020-02-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on aerospace and electronic systems
PublicationTitleAbbrev T-AES
PublicationYear 2020
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
ref11
ref10
ref17
ref16
ref19
ref18
ref50
(ref26) 0
ref46
ref45
larsson (ref41) 2008
ref48
ref47
ref44
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
proakis (ref43) 2008
ref37
ref36
ref31
ref30
huang (ref38) 0
ref32
ref2
ref1
ref39
ref24
ref23
oestges (ref42) 2007
ref25
ref20
ref22
ref21
ref28
goldsmith (ref33) 2006
ref27
ref29
References_xml – ident: ref27
  doi: 10.1109/MCOM.2016.7470934
– ident: ref29
  doi: 10.1109/TIT.2003.810646
– ident: ref6
  doi: 10.1109/TWC.2016.2553660
– start-page: 2865
  year: 0
  ident: ref38
  article-title: Impact of channel estimation error on performance of adaptive MIMO systems
  publication-title: Proc IEEE Int Conf Acoust Speech Signal Process
– ident: ref15
  doi: 10.1109/TCOMM.2012.061112.110477
– ident: ref8
  doi: 10.1109/PIMRC.2007.4394228
– ident: ref20
  doi: 10.1109/TAES.2018.2864468
– ident: ref25
  doi: 10.1109/MCOM.2016.7470932
– ident: ref36
  doi: 10.1016/j.adhoc.2012.06.014
– ident: ref18
  doi: 10.1109/MAES.2013.6516147
– ident: ref47
  doi: 10.1109/TWC.2008.060539
– ident: ref22
  doi: 10.1109/TAES.2014.130012
– ident: ref1
  doi: 10.1109/MCOM.2009.4907410
– year: 2007
  ident: ref42
  publication-title: MIMO Wireless Communications
– ident: ref9
  doi: 10.1109/TVT.2013.2284337
– ident: ref10
  doi: 10.1109/VETECF.2008.381
– ident: ref32
  doi: 10.1109/MCOM.2016.7470933
– ident: ref49
  doi: 10.1109/TWC.2005.850325
– ident: ref14
  doi: 10.1049/iet-com.2014.0950
– ident: ref24
  doi: 10.1109/ICC.2016.7510820
– ident: ref4
  doi: 10.1109/TWC.2012.061912.110655
– ident: ref46
  doi: 10.1109/TIT.2007.915884
– ident: ref3
  doi: 10.1109/MCOM.2009.4907406
– ident: ref23
  doi: 10.1109/TWC.2017.2751045
– ident: ref7
  doi: 10.1109/TCOMM.2013.031213.120260
– ident: ref30
  doi: 10.1109/TCOMM.2018.2859326
– ident: ref48
  doi: 10.1109/TIT.2003.809594
– ident: ref40
  doi: 10.1109/TIT.2003.817426
– year: 2008
  ident: ref41
  publication-title: Space-Time Block Coding for Wireless Communications
– ident: ref50
  doi: 10.1109/TIT.2006.871595
– ident: ref2
  doi: 10.1109/MCOM.2010.5534591
– ident: ref35
  doi: 10.1109/TAES.2011.5937283
– ident: ref31
  doi: 10.1109/18.771146
– ident: ref12
  doi: 10.1109/TCOMM.2013.022713.120340
– ident: ref45
  doi: 10.1109/GLOCOM.2006.917
– year: 2008
  ident: ref43
  publication-title: Digital Communications
– ident: ref34
  doi: 10.1109/LWC.2014.2342736
– ident: ref17
  doi: 10.1109/TAES.2017.2761139
– ident: ref44
  doi: 10.1109/TIT.2003.817429
– ident: ref5
  doi: 10.1109/TWC.2011.100611.110181
– ident: ref28
  doi: 10.1109/TCOMM.2017.2669029
– year: 2006
  ident: ref33
  publication-title: Wireless Communications
– ident: ref21
  doi: 10.1109/JPROC.2011.2161737
– ident: ref37
  doi: 10.1109/GLOCOM.2014.7037248
– ident: ref11
  doi: 10.1109/TCOMM.2014.2358211
– ident: ref39
  doi: 10.1109/TIT.2011.2146610
– ident: ref13
  doi: 10.1109/TCOMM.2015.2465907
– year: 0
  ident: ref26
– ident: ref19
  doi: 10.1109/TAES.2019.2894892
– ident: ref16
  doi: 10.1109/MAES.2008.4493436
SSID ssj0014843
Score 2.3239024
Snippet In the fractional frequency reuse (FFR) system, the bandwidth is partitioned into orthogonal subbands such that users in the cell-center region use the...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 527
SubjectTerms Aerial base stations
Bandwidth
cell size
Cellular communication
Cellular networks
distance threshold
Downlink
fractional frequency reuse (FFR)
Frequency conversion
Frequency reuse
Layout
Radio equipment
Stations
Systems design
Throughput
Unmanned aerial vehicles
Unmanned balloons
Title The Optimal Distance Threshold for Fractional Frequency Reuse in Size-Scalable Networks
URI https://ieeexplore.ieee.org/document/8863946
https://www.proquest.com/docview/2354612620
Volume 56
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3dS8MwED-mT_rgtzidkgefxM60TbvkceiGCCq4iXsrTXIBUTfZx4P-9V7abgwVsU-lXGjIXXK_y30BnAptUu1UHLiYYyAwpz1HajhIFdrQCCvR-QTn27v0-lHcDJJBDc4XuTCIWASfYdO_Fr58OzIzf1V2ISXpU5GuwAoZbmWu1sJjIGQVIRfSBialXXkwQ64u-u1OzwdxqWbki437Vj9LOqhoqvLjJC7US3cTbucTK6NKXpqzqW6az281G_878y3YqHAma5eCsQ01HO7A-lL1wV14IhFh93RkvBHhlceRJACsT8ydeJ8UIzjLuuMy8YEouuMy6vqDPeBsgux5yHrPnxj0iMs-_4rdlRHlkz147Hb6l9dB1WchMKTspwEabXUuQ4eCHifyXIeYyki3HE8SScYz16F0JuRxrlOjOSr61IpT2XLaShvvw-pwNMQDYCo3ibIEiQilCJeI3LascJZ-YxUBAawDn698Zqoi5L4XxmtWGCNcZZ5ZmWdWVjGrDmeLIe9lBY6_iHf94i8Iq3WvQ2PO3qzao5MsihNB-C6N-OHvo45gLfLWdRGj3YDV6XiGxwRBpvqkkL0v3tXYHQ
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3dT9swED_x8QA8bECH6FaGH3hCS3ESJ7Ufq9GqG7ST1lbjLYrts4SAgvrxAH_9zklaVTCh5SmKzkrkO_t-zv3uDuBMaJNqp-LAxRwDgTmtOXLDQarQhkZYic4nOPcHaW8sft4kNxvwbZULg4gF-Qyb_raI5dtHs_C_yi6kJH8q0k3YJr-fhGW21ipmIGTFkQtpCZPbrmKYIVcXo3Zn6Glcqhn5cuO-2c-aFyraqrzZiwsH0_0I_eWnlbySu-Zirpvm5VXVxv_99n34UCFN1i5N4wA2cHIIe2v1B2vwh4yE_aJN44EELz2SJBNgI1LvzEelGAFa1p2WqQ8k0Z2WvOtn9hsXM2S3Eza8fcFgSHr2GVhsUHLKZ59g3O2MvveCqtNCYMjdzwM02upchg4FXU7kuQ4xlZFuOZ4kko7PXIfSmZDHuU6N5qjoUStOZctpK218BFuTxwkeA1O5SZQlUEQ4RbhE5LZlhbP0GqsICmAd-HLmM1OVIffdMO6z4jjCVeaVlXllZZWy6nC-GvJU1uB4T7jmJ38lWM17HRpL9WbVKp1lUZwIQnhpxD__e9Qp7PRG_evs-sfg6gvsRv6sXTC2G7A1ny7whADJXH8t7PAvT-3bZg
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=The+Optimal+Distance+Threshold+for+Fractional+Frequency+Reuse+in+Size-Scalable+Networks&rft.jtitle=IEEE+transactions+on+aerospace+and+electronic+systems&rft.au=Chang%2C+Seok-Ho&rft.au=Kim%2C+Sang-Hyo&rft.au=Choi%2C+Jihwan+P.&rft.date=2020-02-01&rft.issn=0018-9251&rft.eissn=1557-9603&rft.volume=56&rft.issue=1&rft.spage=527&rft.epage=546&rft_id=info:doi/10.1109%2FTAES.2019.2943048&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TAES_2019_2943048
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9251&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9251&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9251&client=summon