Generic Direct Approach for Decoding Turbo Codes Using Probability Density Based Reliability Model

The probability of the received bit values has been directly used in the performance enhanced reliability based direct decoding algorithm for turbo codes proposed recently and has achieved a significant coding gain improvement. This is in contrast to the maximum a posteriori (MAP)—type decoders and...

Full description

Saved in:
Bibliographic Details
Published inJournal of communications technology & electronics Vol. 66; no. 2; pp. 175 - 183
Main Authors Salija, P., Yamuna, B., Padmanabhan, T. R., Mishra, D.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.02.2021
Springer
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN1064-2269
1555-6557
DOI10.1134/S1064226921020133

Cover

Abstract The probability of the received bit values has been directly used in the performance enhanced reliability based direct decoding algorithm for turbo codes proposed recently and has achieved a significant coding gain improvement. This is in contrast to the maximum a posteriori (MAP)—type decoders and their variants in vogue which use log-likelihood ratio (LLR) in place of reliability and go through an iterative process. In this paper reliability has been identified in terms of probability densities of the bit values and the same used with the direct decoding algorithm. Extensive simulations with commonly used encoders show a clear performance improvement especially for short block lengths. Neither does the approach constrain noise distribution in any way as brought out by considering different distributions.
AbstractList The probability of the received bit values has been directly used in the performance enhanced reliability based direct decoding algorithm for turbo codes proposed recently and has achieved a significant coding gain improvement. This is in contrast to the maximum a posteriori (MAP)—type decoders and their variants in vogue which use log-likelihood ratio (LLR) in place of reliability and go through an iterative process. In this paper reliability has been identified in terms of probability densities of the bit values and the same used with the direct decoding algorithm. Extensive simulations with commonly used encoders show a clear performance improvement especially for short block lengths. Neither does the approach constrain noise distribution in any way as brought out by considering different distributions.
Audience Academic
Author Yamuna, B.
Salija, P.
Padmanabhan, T. R.
Mishra, D.
Author_xml – sequence: 1
  givenname: P.
  surname: Salija
  fullname: Salija, P.
  email: p_salija@cb.amrita.edu
  organization: Department of Electronics and Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham
– sequence: 2
  givenname: B.
  surname: Yamuna
  fullname: Yamuna, B.
  email: b_yamuna@cb.amrita.edu
  organization: Department of Electronics and Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham
– sequence: 3
  givenname: T. R.
  surname: Padmanabhan
  fullname: Padmanabhan, T. R.
  organization: Department of Electronics and Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham
– sequence: 4
  givenname: D.
  surname: Mishra
  fullname: Mishra, D.
  organization: Digital Communication Division, Optical and Digital Communication Group, Satcom & Navigation Payload Area, Space Application Centre, ISRO
BookMark eNp1kdlKxTAQQIMouH6AbwVBEKxmbZvH63UFRXF5Lmk6qZHaXJMW9O9NqaIXkUASZs5JmJlNtNq5DhDaJfiIEMaPHwjOOKWZpARTTBhbQRtECJFmQuSr8R7T6ZhfR5shvGDMZIbZBqouoANvdXJqPeg-mS0W3in9nBjnk1PQrrZdkzwOvnLJ3NUQkqcwRu68q1RlW9t_RKwL43miAtTJPbT2O3MTjXYbrRnVBtj5OrfQ0_nZ4_wyvb69uJrPrlPNsexTChKwoqzSVZHLvJY0N4wXmEpJM8qwqDgRtTQmH8sgkhOSY2Y04VoUIldsC-1N78YK3gYIffniBt_FL0vKpeCC5AWO1NFENaqF0nbG9V7puGp4tTo21dgYn2WCZRmlBYnC_pIQmR7e-0YNIZTL4MH_4NXD_TJ7-IuththTCHELtnnuw6Qs4WTCtXcheDDlwttX5T9Kgstx_uWf-UeHTk6IbNeA_2nH_9InUq6u4A
Cites_doi 10.1109/MCOM.2018.1800181
10.1109/TVT.2010.2041378
10.1080/03772063.2019.1670104
10.1109/JPROC.2018.2867029
10.1109/INDICON.2016.7839114
10.4108/icst.5gu.2014.258154
10.1109/JPROC.2016.2537298
10.1109/ICCW.2017.7962784
10.1109/ACCESS.2018.2854794
10.1109/CSNDSP.2014.6923962
10.1109/ICC.1993.397441
10.1109/VTCSpring.2015.7145846
10.1109/ACCESS.2018.2842231
ContentType Journal Article
Copyright Pleiades Publishing, Inc. 2021. ISSN 1064-2269, Journal of Communications Technology and Electronics, 2021, Vol. 66, No. 2, pp. 175–183. © Pleiades Publishing, Inc., 2021.
COPYRIGHT 2021 Springer
Copyright_xml – notice: Pleiades Publishing, Inc. 2021. ISSN 1064-2269, Journal of Communications Technology and Electronics, 2021, Vol. 66, No. 2, pp. 175–183. © Pleiades Publishing, Inc., 2021.
– notice: COPYRIGHT 2021 Springer
DBID AAYXX
CITATION
N95
ISR
7SP
8FD
JQ2
L7M
DOI 10.1134/S1064226921020133
DatabaseName CrossRef
Gale Business: Insights
Gale In Context: Science
Electronics & Communications Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
ProQuest Computer Science Collection
DatabaseTitleList

Technology Research Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1555-6557
EndPage 183
ExternalDocumentID A653662281
10_1134_S1064226921020133
GroupedDBID -5B
-5G
-BR
-EM
-Y2
-~C
.4S
.DC
.VR
06D
0R~
0VY
1N0
29K
29~
2J2
2JN
2JY
2KG
2KM
2LR
2VQ
2~H
30V
3V.
4.4
408
40D
40E
5GY
5VS
6NX
7WY
88I
8AO
8FE
8FG
8FL
8TC
8UJ
95-
95.
95~
96X
AAAVM
AABHQ
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABDPE
ABDZT
ABECU
ABFTV
ABHLI
ABHQN
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBEA
ACBXY
ACDTI
ACGFO
ACGFS
ACGOD
ACHSB
ACHXU
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACREN
ACSNA
ACZOJ
ADHHG
ADHIR
ADINQ
ADKNI
ADKPE
ADMLS
ADRFC
ADTPH
ADURQ
ADYFF
ADYOE
ADZKW
AEBTG
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMSY
AENEX
AEOHA
AEPYU
AETLH
AEVLU
AEXYK
AFBBN
AFFNX
AFGCZ
AFKRA
AFLOW
AFQWF
AFWTZ
AFYQB
AFZKB
AGAYW
AGDGC
AGJBK
AGMZJ
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMTXH
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARCSS
ARMRJ
ASPBG
AVWKF
AXYYD
AZFZN
AZQEC
B-.
BA0
BAAKF
BDATZ
BENPR
BEZIV
BGLVJ
BGNMA
BPHCQ
BSONS
CAG
CCPQU
COF
CS3
CSCUP
D-I
DDRTE
DNIVK
DPUIP
DU5
DWQXO
EBLON
EBS
EIOEI
EJD
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRNLG
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ6
GQ7
GROUPED_ABI_INFORM_COMPLETE
H13
HCIFZ
HF~
HG6
HLICF
HMJXF
HRMNR
HVGLF
HZ~
IAO
IJ-
IKXTQ
ISR
IWAJR
IXD
I~X
I~Z
J-C
JBSCW
JZLTJ
K60
K6~
KOV
LLZTM
M0C
M2P
M4Y
MA-
MK~
ML~
N2Q
N95
NB0
NPVJJ
NQJWS
NU0
O9-
O93
O9J
P62
P9P
PF0
PQBIZ
PQBZA
PQQKQ
PROAC
PT4
Q2X
QOS
R89
R9I
RNS
ROL
RSV
S16
S1Z
S27
S3B
SAP
SDH
SEG
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
TSG
TUC
TUS
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WK8
XI7
XU3
YLTOR
Z7R
Z7X
Z83
Z88
ZMTXR
~A9
AAPKM
AAYXX
ABDBE
ABFSG
ABRTQ
ACSTC
ADHKG
AEZWR
AFDZB
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
ATHPR
CITATION
K7-
PHGZM
PHGZT
PQGLB
PUEGO
ACMFV
7SP
8FD
JQ2
L7M
ID FETCH-LOGICAL-c409t-2e9e0a23bcb8797d927f3480299262305b415d9ff7226919411703fc14c5857a3
IEDL.DBID AGYKE
ISSN 1064-2269
IngestDate Wed Sep 17 23:56:12 EDT 2025
Mon Oct 20 16:48:27 EDT 2025
Thu Oct 16 16:16:48 EDT 2025
Thu Oct 16 14:38:42 EDT 2025
Fri Jun 27 02:38:45 EDT 2025
Wed Oct 01 02:29:39 EDT 2025
Fri Feb 21 02:49:24 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 2
Keywords turbo codes
non-Gaussian noise
short block length
reliability
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c409t-2e9e0a23bcb8797d927f3480299262305b415d9ff7226919411703fc14c5857a3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
PQID 2495451780
PQPubID 54180
PageCount 9
ParticipantIDs proquest_journals_2495451780
gale_infotracacademiconefile_A653662281
gale_incontextgauss__A653662281
gale_incontextgauss_ISR_A653662281
gale_businessinsightsgauss_A653662281
crossref_primary_10_1134_S1064226921020133
springer_journals_10_1134_S1064226921020133
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-02-01
PublicationDateYYYYMMDD 2021-02-01
PublicationDate_xml – month: 02
  year: 2021
  text: 2021-02-01
  day: 01
PublicationDecade 2020
PublicationPlace Moscow
PublicationPlace_xml – name: Moscow
– name: Silver Spring
PublicationTitle Journal of communications technology & electronics
PublicationTitleAbbrev J. Commun. Technol. Electron
PublicationYear 2021
Publisher Pleiades Publishing
Springer
Springer Nature B.V
Publisher_xml – name: Pleiades Publishing
– name: Springer
– name: Springer Nature B.V
References S. N. Vaniya, N. Kumar, and C. Sacchi, “Performance of iterative turbo coding with nonlinearly distorted OFDM signal,” in IEEE Annual India Conference, Bangalore, India, Dec. 16–18 2016), (IEEE, New York, 2016), pp. 1–5.
BennisM.DebbahM.PoorH. V.inProc. IEEE2018106183410.1109/JPROC.2018.2867029
S. Weithoffer and N. Wehn, “Enhanced decoding for high-rate LTE turbo-codes with short block lengths,” in Proc. IEEE Int. Conf. on Communications Workshops, Paris,2017 (IEEE, New York, 2017), pp. 967–972.
ZhanM.PangZ.DzungD.XiaoM.IEEE Access201862964810.1109/ACCESS.2018.2842231
C. A. Bechlawi and F. Guilloud, “Frame length reduction for massive-machine communications,” in Proc. IEEE 81st Vehicular Technology Conf., Glasgow,2015 (IEEE, New York, 2015), pp. 1–5.
P. Salija, B. Yamuna, T. R. Padmanabhan, and Deepak Mishra, IETE J. Res., 1 (2019). https://doi.org/10.1080/03772063.2019.1670104
C. Berrou, A. Glavieux, and P. Thitimajshima, “Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1,” in Proc. IEEE Int. Conf. on Communications, Geneva, Switzerland, May 1993 (IEEE, New York, 1993), pp. 1064–1070.
MansoorB. M.IsmaeelT. Z.Int. JCircuits, Syst. Signal Process.201812587
YooD.StarkW. E.YarK.OhS.IEEE Trans. Veh. Technol.201059210410.1109/TVT.2010.2041378
DurisiG.KochT.PopovskiP.Proc. IEEE2016102171110.1109/JPROC.2016.2537298
P. Popovski, “Ultra-reliable communication in 5G wireless systems,” in Proc. 1st Int. Conf. on 5G for Ubiquitous Connectivity, Akaslompolo, Nov. 26–27,2014 (IEEE, New York, 2014), pp. 146–151.
ShirvanimoghaddamM.MohammadiM. S.AbbasR.MinjaA.YueC.MatuzB.HanG.LinZ.LiuW.LiY.JohnsonS.VuceticB.IEEE Commun. Mag.20195713010.1109/MCOM.2018.1800181
ZhanM.WuJ.WenH.ZhangP.IEEE Acces201863903710.1109/ACCESS.2018.2854794
T. P. Fowdur, Y. Beeharry, and S. K. M. Soyjaudah, “Performance of modified asymmetric LTE turbo codes with reliability-based hybrid ARQ,” in Proc. 9th Int. Symp. on Communication Systems, Networks & Digital Sign, Manchester,2014 (IEEE, New York, 2014), pp. 928–933.
D. Yoo (1473_CR7) 2010; 59
M. Bennis (1473_CR11) 2018; 106
M. Shirvanimoghaddam (1473_CR4) 2019; 57
M. Zhan (1473_CR12) 2018; 6
1473_CR2
1473_CR1
1473_CR6
G. Durisi (1473_CR5) 2016; 102
B. M. Mansoor (1473_CR8) 2018; 12
1473_CR3
1473_CR9
1473_CR14
M. Zhan (1473_CR10) 2018; 6
1473_CR13
References_xml – reference: C. A. Bechlawi and F. Guilloud, “Frame length reduction for massive-machine communications,” in Proc. IEEE 81st Vehicular Technology Conf., Glasgow,2015 (IEEE, New York, 2015), pp. 1–5.
– reference: S. N. Vaniya, N. Kumar, and C. Sacchi, “Performance of iterative turbo coding with nonlinearly distorted OFDM signal,” in IEEE Annual India Conference, Bangalore, India, Dec. 16–18 2016), (IEEE, New York, 2016), pp. 1–5.
– reference: ZhanM.PangZ.DzungD.XiaoM.IEEE Access201862964810.1109/ACCESS.2018.2842231
– reference: ShirvanimoghaddamM.MohammadiM. S.AbbasR.MinjaA.YueC.MatuzB.HanG.LinZ.LiuW.LiY.JohnsonS.VuceticB.IEEE Commun. Mag.20195713010.1109/MCOM.2018.1800181
– reference: BennisM.DebbahM.PoorH. V.inProc. IEEE2018106183410.1109/JPROC.2018.2867029
– reference: T. P. Fowdur, Y. Beeharry, and S. K. M. Soyjaudah, “Performance of modified asymmetric LTE turbo codes with reliability-based hybrid ARQ,” in Proc. 9th Int. Symp. on Communication Systems, Networks & Digital Sign, Manchester,2014 (IEEE, New York, 2014), pp. 928–933.
– reference: P. Salija, B. Yamuna, T. R. Padmanabhan, and Deepak Mishra, IETE J. Res., 1 (2019). https://doi.org/10.1080/03772063.2019.1670104
– reference: DurisiG.KochT.PopovskiP.Proc. IEEE2016102171110.1109/JPROC.2016.2537298
– reference: C. Berrou, A. Glavieux, and P. Thitimajshima, “Near Shannon limit error-correcting coding and decoding: Turbo-codes. 1,” in Proc. IEEE Int. Conf. on Communications, Geneva, Switzerland, May 1993 (IEEE, New York, 1993), pp. 1064–1070.
– reference: YooD.StarkW. E.YarK.OhS.IEEE Trans. Veh. Technol.201059210410.1109/TVT.2010.2041378
– reference: P. Popovski, “Ultra-reliable communication in 5G wireless systems,” in Proc. 1st Int. Conf. on 5G for Ubiquitous Connectivity, Akaslompolo, Nov. 26–27,2014 (IEEE, New York, 2014), pp. 146–151.
– reference: MansoorB. M.IsmaeelT. Z.Int. JCircuits, Syst. Signal Process.201812587
– reference: ZhanM.WuJ.WenH.ZhangP.IEEE Acces201863903710.1109/ACCESS.2018.2854794
– reference: S. Weithoffer and N. Wehn, “Enhanced decoding for high-rate LTE turbo-codes with short block lengths,” in Proc. IEEE Int. Conf. on Communications Workshops, Paris,2017 (IEEE, New York, 2017), pp. 967–972.
– volume: 57
  start-page: 130
  year: 2019
  ident: 1473_CR4
  publication-title: IEEE Commun. Mag.
  doi: 10.1109/MCOM.2018.1800181
– volume: 59
  start-page: 2104
  year: 2010
  ident: 1473_CR7
  publication-title: IEEE Trans. Veh. Technol.
  doi: 10.1109/TVT.2010.2041378
– ident: 1473_CR3
  doi: 10.1080/03772063.2019.1670104
– volume: 12
  start-page: 587
  year: 2018
  ident: 1473_CR8
  publication-title: Circuits, Syst. Signal Process.
– volume: 106
  start-page: 1834
  year: 2018
  ident: 1473_CR11
  publication-title: Proc. IEEE
  doi: 10.1109/JPROC.2018.2867029
– ident: 1473_CR2
  doi: 10.1109/INDICON.2016.7839114
– ident: 1473_CR6
  doi: 10.4108/icst.5gu.2014.258154
– volume: 102
  start-page: 1711
  year: 2016
  ident: 1473_CR5
  publication-title: Proc. IEEE
  doi: 10.1109/JPROC.2016.2537298
– ident: 1473_CR9
  doi: 10.1109/ICCW.2017.7962784
– volume: 6
  start-page: 39037
  year: 2018
  ident: 1473_CR10
  publication-title: IEEE Acces
  doi: 10.1109/ACCESS.2018.2854794
– ident: 1473_CR14
  doi: 10.1109/CSNDSP.2014.6923962
– ident: 1473_CR1
  doi: 10.1109/ICC.1993.397441
– ident: 1473_CR13
  doi: 10.1109/VTCSpring.2015.7145846
– volume: 6
  start-page: 29648
  year: 2018
  ident: 1473_CR12
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2018.2842231
SSID ssj0039603
Score 2.187782
Snippet The probability of the received bit values has been directly used in the performance enhanced reliability based direct decoding algorithm for turbo codes...
SourceID proquest
gale
crossref
springer
SourceType Aggregation Database
Index Database
Publisher
StartPage 175
SubjectTerms Algorithms
Coders
Codes
Communications Engineering
Decoders
Decoding
Distribution (Probability theory)
Engineering
Iterative methods
Likelihood ratio
Networks
Reliability
Reliability analysis
Specific gravity
Theory and Methods of Signal Processing
Turbo codes
Title Generic Direct Approach for Decoding Turbo Codes Using Probability Density Based Reliability Model
URI https://link.springer.com/article/10.1134/S1064226921020133
https://www.proquest.com/docview/2495451780
Volume 66
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVEBS
  databaseName: Inspec with Full Text
  customDbUrl:
  eissn: 1555-6557
  dateEnd: 20241102
  omitProxy: false
  ssIdentifier: ssj0039603
  issn: 1064-2269
  databaseCode: ADMLS
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.ebsco.com/products/research-databases/inspec-full-text
  providerName: EBSCOhost
– providerCode: PRVLSH
  databaseName: SpringerLink Journals
  customDbUrl:
  mediaType: online
  eissn: 1555-6557
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0039603
  issn: 1064-2269
  databaseCode: AFBBN
  dateStart: 20060101
  isFulltext: true
  providerName: Library Specific Holdings
– providerCode: PRVAVX
  databaseName: SpringerLINK - Czech Republic Consortium
  customDbUrl:
  eissn: 1555-6557
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0039603
  issn: 1064-2269
  databaseCode: AGYKE
  dateStart: 20060101
  isFulltext: true
  titleUrlDefault: http://link.springer.com
  providerName: Springer Nature
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9tAEB7RcGkPUCgVKWm6QqBKVA7xev06prxfFSJBgpPlXa8RonJQ7Bzg1zOzXqsNjwMXXzy2PPZ65pvdb78B2IjSUGSpyBzp-7kjwihz0jhSjotQg_e1q3IzD3n2Jzi8FMdX_pXdx102bPdmSdJE6rrviNgeuoSVeRBTkYLAxfsA80ZuqwXzg4Prk70mAHsIymtefSAcusAuZr56k5l09Dwov1gdNUlnfxFGzePWXJO73rSSPfX4TMnxnf58hgULQtmgHjVLMKeLZfj0nzThF5BGj_pWsTomsoHVHmcIctku1qyU89hoOpFjtjPOdMkM-YCdTzBAGMLtA5oVxPhgvzFTZozIz80Z6sD2dwUu9_dGO4eO7cfgKKwCK4frWPdT7kklozAOs5iHuSeiPmY0jiiq70tEAxlNApNbbiyoq42XK1coLErC1PsKrWJc6FVgUR7rTAdaYzihSShSS85VFIeK5xJBbBu2ms-S3NeyG4kpVzyRvHhxbdikD5fYtp14KGlio7xJp2WZDALfCwLOI7cN68aOZC8K4tXUBkfDixmjH68ZzVj8tBb5uJqkKrUbGdAz0tKasew0QymxoaFMqNm3wIFLTv5qRsa_0296-e1d1mvwkRP7xvDLO9CqJlP9HeFTJbv4u-yenQ679rd5ArSADNk
linkProvider Springer Nature
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwEB7B7gE4tBSK2HYLFqJCahXYOM7ruOXR5amqLBKcothxEAJlq032AL--M44jWB4HLrnkS5RJnJlv7M8zAJtRGoosFZkjfT93RBhlThpHynGRavCedlVu5iFPz4LBhTi69C_tPu6yUbs3S5LGU9d9R8TOuUtcmQcxJSlIXLxZaAvMT3gL2v3fV8f7jQP2kJTXuvpAOHSBXcx89SZT4ei5U36xOmqCzsFHGDaPW2tNbrcnldxWD88qOb7TnkX4YEko69ej5hPM6GIJFp6UJlwGaepR3yhW-0TWt7XHGZJctoc5K8U8NpyM5YjtjjJdMiM-YH_G6CCM4PYeYQUpPtgvjJQZI_Fzc4Y6sN19houD_eHuwLH9GByFWWDlcB3rXso9qWQUxmEW8zD3RNTDiMaRRfV8iWwgo0lgMsuNBXW18XLlCoVJSZh6K9AqRoVeBRblsc50oDW6E5qEomrJuYriUPFcIontwI_msyT_6rIbiUlXPJG8eHEd-E4fLrFtO_FQ0sRGeZ1OyjLpB74XBJxHbgc2DI7KXhSkq6kBh-d_p0Drr4GmEFsWkY-qcapSu5EBLaNaWlPIbjOUEusayoSafQvfDcnIn83IeDz9ppVf3oVeh7nB8PQkOTk8O_4K85yUOEZr3oVWNZ7ob0ilKrlmf53_2F4OJA
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Nb9NAEB1BK1VwoFCompLSFQIhgdzG67XXPqYfoaVQVbSVysl4vxCicqLYObS_vjP2WpC2HBCXXPwSZeLNzJvd5zcAb9JCClMIE6g4doGQqQmKLNVBiFSDD2yoXbMP-eU4OTgXny7iCz_ntOrU7t2RZPtMA7k0lfX2xDg_g0Rsn4bEm3mSUcOCJCZ6CIvYmUhc6IvDj9-O9rtkHCFBbzX2iQjoDf5g894PmStNtxP0nZPSpgCNluF799Vb3cmvrVmttvT1LVfH_4jtKTzx5JQN29X0DB7YcgUe_2FZ-BxU41P9U7M2V7Kh9yRnSH7ZHvayVAvZ2Wyqxmx3bGzFGlECO5li4miEuFcIK0kJwnawghpGoujuCk1mu3wB56P9s92DwM9pCDR2h3XAbWYHBY-UVqnMpMm4dJFIB1jpOLKrQayQJRjaHKawwkzQtJvI6VBobFZkEa3CQjku7Rqw1GXW2MRaTDO0OUUuyk6nmdTcKSS3PXjf3aJ80tpx5E0bE4n8zg_Xg7d0E3M_zhNfKtrwqH4Us6rKh0kcJQnnadiD1w2O7DBK0tu0gMPTr3OgzftAc4h3HuHG9bTQhX_AASMjj605ZL9bVrlPGVVOQ8BFHEoK8kO3Sn5f_muU6_-E3oSlk71R_vnw-OglPOIk0Gkk6H1YqKczu4EMq1av_L_oBmUlFwg
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=Generic+Direct+Approach+for+Decoding+Turbo+Codes+Using+Probability+Density+Based+Reliability+Model&rft.jtitle=Journal+of+communications+technology+%26+electronics&rft.au=Salija%2C+P&rft.au=Yamuna%2C+B&rft.au=Padmanabhan%2C+T.+R&rft.au=Mishra%2C+D&rft.date=2021-02-01&rft.pub=Springer&rft.issn=1064-2269&rft.volume=66&rft.issue=2&rft.spage=175&rft_id=info:doi/10.1134%2FS1064226921020133&rft.externalDBID=N95&rft.externalDocID=A653662281
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1064-2269&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1064-2269&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1064-2269&client=summon