Rate Region of the One-Help-Two Quadratic Gaussian Source-Coding Problem with Markovity

We study the quadratic Gaussian one-help-two source-coding problem with Markovity, in which three encoders separately encode the components of a memoryless vector-Gaussian source that form a Markov chain and the central decoder aims to reproduce the first and the second components in the chain subje...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on information theory Vol. 69; no. 3; p. 1
Main Authors: Bilgen, Omer, Wagner, Aaron B.
Format: Journal Article
Language:English
Published: New York IEEE 01.03.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
ISSN:0018-9448, 1557-9654
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract We study the quadratic Gaussian one-help-two source-coding problem with Markovity, in which three encoders separately encode the components of a memoryless vector-Gaussian source that form a Markov chain and the central decoder aims to reproduce the first and the second components in the chain subject to individual mean-squared distortion constraints. We determine the rate region under a high-resolution assumption for the middle source.
AbstractList We study the quadratic Gaussian one-help-two source-coding problem with Markovity, in which three encoders separately encode the components of a memoryless vector-Gaussian source that form a Markov chain and the central decoder aims to reproduce the first and the second components in the chain subject to individual mean-squared distortion constraints. We determine the rate region under a high-resolution assumption for the middle source.
Author Wagner, Aaron B.
Bilgen, Omer
Author_xml – sequence: 1
  givenname: Omer
  orcidid: 0000-0001-6898-6337
  surname: Bilgen
  fullname: Bilgen, Omer
  organization: School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA
– sequence: 2
  givenname: Aaron B.
  orcidid: 0000-0001-9127-0089
  surname: Wagner
  fullname: Wagner, Aaron B.
  organization: School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA
BookMark eNp9kM1PwjAYhxuDiYjeTbw08Tzsx7qtR0MUSDAoznhcuu0dFEeLXSfhv3cE4sGDpzdv8nvej-cS9Yw1gNANJUNKibxPp-mQEcaGnNEw5PwM9akQcSAjEfZQnxCaBDIMkwt02TTrrg0FZX30sVAe8AKW2hpsK-xXgOcGggnU2yDdWfzaqtIprws8Vm3TaGXwm21dAcHIltos8YuzeQ0bvNN-hZ-V-7Tf2u-v0Hml6gauT3WA3p8e09EkmM3H09HDLCgYoz7gsoRIiCgqqrCsBAlLRTktaVHEeSVBJqKkElgZsUQpnkiqZB4BzxPgqoqF4AN0d5y7dfarhcZn6-46063MWBzHIqERI10qOqYKZ5vGQZUV2ndPWeOd0nVGSXaQmHUSs4PE7CSxA8kfcOv0Rrn9f8jtEdEA8BuXkiaES_4DOSx-SA
CODEN IETTAW
CitedBy_id crossref_primary_10_1109_TIFS_2024_3522775
Cites_doi 10.1109/ISIT.2008.4595022
10.1109/ISIT.2010.5513259
10.1109/TIT.2012.2184667
10.1109/TIT.2014.2361332
10.1109/TIT.2008.920343
10.1109/TIT.2020.2972348
10.1017/CBO9780511804441
10.1109/ISIT.2004.1365154
10.1109/TIT.2010.2050960
10.1109/ISIT.2019.8849360
10.1109/ISIT.2018.8437319
10.1109/TIT.2010.2090225
10.1109/TIT.2017.2779745
10.1109/TIT.2014.2358692
10.1109/ITA.2011.5743626
10.1109/TIT.2011.2170930
10.1109/Allerton.2011.6120168
10.1109/TIT.2012.2216995
10.1109/TIT.2014.2333473
10.1109/TIT.2013.2288257
10.1109/ISIT.2011.6034077
10.1109/ISIT.2009.5205868
10.1109/TIT.2015.2412543
10.1109/TIT.2013.2245397
10.1109/TIT.2009.2034791
10.1109/TIT.2012.2201347
10.1109/TIT.2011.2173706
10.1109/TIT.2014.2311809
10.1109/TIT.2005.850110
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2023
DBID 97E
RIA
RIE
AAYXX
CITATION
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
DOI 10.1109/TIT.2022.3214433
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Computer and Information Systems Abstracts
Electronics & Communications Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Technology Research Database
Computer and Information Systems Abstracts – Academic
Electronics & Communications Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Technology 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
Computer Science
EISSN 1557-9654
EndPage 1
ExternalDocumentID 10_1109_TIT_2022_3214433
9918039
Genre orig-research
GrantInformation_xml – fundername: US Army Research Office
  grantid: W911NF-18-1-0426
– fundername: US National Science Foundation
  grantid: CCF-1617673; CCF-1934985; CCF-2008266
GroupedDBID -~X
.DC
0R~
29I
3EH
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABFSI
ABQJQ
ABVLG
ACGFO
ACGFS
ACGOD
ACIWK
AENEX
AETEA
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
F5P
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IDIHD
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MS~
O9-
OCL
P2P
PQQKQ
RIA
RIE
RNS
RXW
TAE
TN5
VH1
VJK
AAYXX
CITATION
7SC
7SP
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c221t-39de65566cf4df504da131d1cc7bf9e985d19e2d628aa3891a9b6e3b8e3af7553
IEDL.DBID RIE
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000967098200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0018-9448
IngestDate Mon Jun 30 02:33:28 EDT 2025
Tue Nov 18 21:15:23 EST 2025
Sat Nov 29 03:31:49 EST 2025
Wed Aug 27 02:29:09 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 3
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-c221t-39de65566cf4df504da131d1cc7bf9e985d19e2d628aa3891a9b6e3b8e3af7553
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-9127-0089
0000-0001-6898-6337
PQID 2777581620
PQPubID 36024
PageCount 1
ParticipantIDs ieee_primary_9918039
crossref_primary_10_1109_TIT_2022_3214433
crossref_citationtrail_10_1109_TIT_2022_3214433
proquest_journals_2777581620
PublicationCentury 2000
PublicationDate 2023-03-01
PublicationDateYYYYMMDD 2023-03-01
PublicationDate_xml – month: 03
  year: 2023
  text: 2023-03-01
  day: 01
PublicationDecade 2020
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on information theory
PublicationTitleAbbrev TIT
PublicationYear 2023
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
ref31
ref30
ref11
ref10
Tung (ref2) 1978
ref17
ref16
Berger (ref1) 1978; 229
ref19
ref18
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref14
  doi: 10.1109/ISIT.2008.4595022
– ident: ref25
  doi: 10.1109/ISIT.2010.5513259
– year: 1978
  ident: ref2
  article-title: Multiterminal source coding
– ident: ref7
  doi: 10.1109/TIT.2012.2184667
– ident: ref11
  doi: 10.1109/TIT.2014.2361332
– ident: ref3
  doi: 10.1109/TIT.2008.920343
– ident: ref24
  doi: 10.1109/TIT.2020.2972348
– ident: ref30
  doi: 10.1017/CBO9780511804441
– ident: ref22
  doi: 10.1109/ISIT.2004.1365154
– ident: ref10
  doi: 10.1109/TIT.2010.2050960
– ident: ref17
  doi: 10.1109/ISIT.2019.8849360
– ident: ref29
  doi: 10.1109/ISIT.2018.8437319
– ident: ref6
  doi: 10.1109/TIT.2010.2090225
– ident: ref18
  doi: 10.1109/TIT.2017.2779745
– ident: ref23
  doi: 10.1109/TIT.2014.2358692
– ident: ref27
  doi: 10.1109/ITA.2011.5743626
– ident: ref19
  doi: 10.1109/TIT.2011.2170930
– ident: ref28
  doi: 10.1109/Allerton.2011.6120168
– ident: ref9
  doi: 10.1109/TIT.2012.2216995
– ident: ref16
  doi: 10.1109/TIT.2014.2333473
– ident: ref31
  doi: 10.1109/TIT.2013.2288257
– ident: ref26
  doi: 10.1109/ISIT.2011.6034077
– ident: ref5
  doi: 10.1109/ISIT.2009.5205868
– ident: ref20
  doi: 10.1109/TIT.2015.2412543
– volume: 229
  start-page: 171
  volume-title: The Information Theory Approach to Communications
  year: 1978
  ident: ref1
  article-title: Multiterminal source coding
– ident: ref15
  doi: 10.1109/TIT.2013.2245397
– ident: ref13
  doi: 10.1109/TIT.2009.2034791
– ident: ref12
  doi: 10.1109/TIT.2012.2201347
– ident: ref8
  doi: 10.1109/TIT.2011.2173706
– ident: ref4
  doi: 10.1109/TIT.2014.2311809
– ident: ref21
  doi: 10.1109/TIT.2005.850110
SSID ssj0014512
Score 2.420626
Snippet We study the quadratic Gaussian one-help-two source-coding problem with Markovity, in which three encoders separately encode the components of a memoryless...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms Coders
Coding
Covariance matrices
Decoding
Distortion
distributed compression
Encoding
Gaussian sources
Markov chains
Markov processes
Multiterminal source-coding
network information theory
one-help-two problem
Random variables
Rate-distortion
Title Rate Region of the One-Help-Two Quadratic Gaussian Source-Coding Problem with Markovity
URI https://ieeexplore.ieee.org/document/9918039
https://www.proquest.com/docview/2777581620
Volume 69
WOSCitedRecordID wos000967098200001&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: 1557-9654
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0014512
  issn: 0018-9448
  databaseCode: RIE
  dateStart: 19630101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LS8QwEB508aAH3-L6IgcvgnGbR5vmKIuvi666oreSJlMQZLvsQ_--SdtdFEXwVmgSSr9MZibz-ACOdS4SlruEovd5qExjpFpISZVNpZUYB7O8IptQt7fpy4vuLcDpvBYGEavkMzwLj1Us35V2Gq7KOt6WSSOhF2FRqaSu1ZpHDGTM6s7gzAuw9zlmIclId_o3fe8Icn4WSHmkEN9UUMWp8uMgrrTL5dr_vmsdVhsrkpzXsG_AAg42YW3G0EAagd2ElS_tBrfg-cEbluQBQwoyKQvibT9yN0DqVc-Q9j9Kcj81LuwIS67MdBzKK8ljdblPu2XQcaRX08-QcHtLQplPGagntuHp8qLfvaYNsQK1nLMJFdphEntDzhbSFXEknWGCOWatyguNOo0d08hdwlNjQiDT6DxBkacoTKHiWOxAa1AOcBeIzLn1bw06v4xyuVGGGyP90YBMoLZt6Mz-dWabruOB_OItq7yPSGcenSygkzXotOFkPmNYd9z4Y-xWQGM-rgGiDQczOLNGJMcZV8r7Rizh0d7vs_ZhOXDJ1wlmB9CajKZ4CEv2ffI6Hh1Vu-0ThwbRVw
linkProvider IEEE
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3db9MwED-NgcR4WKHdRMcAP_CChNv4K4kfUbWyiVJKCaJvkWNfJCTUVP2Af392klZDQ0i8RYptRfn5fHe-jx_AG12ImBUupuh9HipThVQLKWliU2klqmCW12QTyXSaLhZ6dgTvDrUwiFgnn-EgPNaxfFfZXbgqG3pbJo2EfgAPlZQ8aqq1DjEDqVjTG5x5EfZexz4oGelhdpN5V5DzQaDlkUL8oYRqVpV7R3GtX8ad__uyp3Da2pHkfQP8MzjCZRc6e44G0opsF57caTjYg-9zb1qSOYYkZFKVxFt_5PMSqVc-K5r9rsiXnXFhT1jywew2ocCSfK2v9-moClqOzBoCGhLub0ko9KkC-cQZfBtfZaNr2lIrUMs521KhHcbKm3K2lK5UkXSGCeaYtUlRatSpckwjdzFPjQmhTKOLGEWRojBlopQ4h-NltcTnQGTBrX9r0PllEleYxHBjpD8ckAnUtg_D_b_Obdt3PNBf_Mxr_yPSuUcnD-jkLTp9eHuYsWp6bvxjbC-gcRjXAtGHyz2ceSuUm5wnifeOWMyji7_Peg2Pr7NPk3xyM_34Ak4Cs3yTbnYJx9v1Dl_CI_tr-2OzflXvvFuSo9Se
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=Rate+Region+of+the+One-Help-Two+Quadratic+Gaussian+Source-Coding+Problem+with+Markovity&rft.jtitle=IEEE+transactions+on+information+theory&rft.au=Bilgen%2C+Omer&rft.au=Wagner%2C+Aaron+B.&rft.date=2023-03-01&rft.pub=IEEE&rft.issn=0018-9448&rft.spage=1&rft.epage=1&rft_id=info:doi/10.1109%2FTIT.2022.3214433&rft.externalDocID=9918039
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9448&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9448&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9448&client=summon